{"id":"https://openalex.org/W4404024316","doi":"https://doi.org/10.3390/axioms13110760","title":"Eccentric p-Summing Lipschitz Operators and Integral Inequalities on Metric Spaces and Graphs","display_name":"Eccentric p-Summing Lipschitz Operators and Integral Inequalities on Metric Spaces and Graphs","publication_year":2024,"publication_date":"2024-11-02","ids":{"openalex":"https://openalex.org/W4404024316","doi":"https://doi.org/10.3390/axioms13110760"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13110760","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110760","pdf_url":"https://www.mdpi.com/2075-1680/13/11/760/pdf?version=1730701386","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/11/760/pdf?version=1730701386","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044321329","display_name":"Roger Arnau","orcid":"https://orcid.org/0000-0003-2544-8875"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Roger Arnau","raw_affiliation_strings":["Instituto Universitario de Matem\u00e1tica Pura y Aplicada, Universitat Polit\u00e8cnica de Val\u00e8ncia, Camino de Vera s/n, 46022 Valencia, Spain"],"raw_orcid":"https://orcid.org/0000-0003-2544-8875","affiliations":[{"raw_affiliation_string":"Instituto Universitario de Matem\u00e1tica Pura y Aplicada, Universitat Polit\u00e8cnica de Val\u00e8ncia, Camino de Vera s/n, 46022 Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059955897","display_name":"Enrique A. S\u00e1nchez\u2010P\u00e9rez","orcid":"https://orcid.org/0000-0001-8854-3154"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Enrique A. S\u00e1nchez P\u00e9rez","raw_affiliation_strings":["Instituto Universitario de Matem\u00e1tica Pura y Aplicada, Universitat Polit\u00e8cnica de Val\u00e8ncia, Camino de Vera s/n, 46022 Valencia, Spain"],"raw_orcid":"https://orcid.org/0000-0001-8854-3154","affiliations":[{"raw_affiliation_string":"Instituto Universitario de Matem\u00e1tica Pura y Aplicada, Universitat Polit\u00e8cnica de Val\u00e8ncia, Camino de Vera s/n, 46022 Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106642989","display_name":"Sergi Sanjuan","orcid":null},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Sergi Sanjuan","raw_affiliation_strings":["Instituto Universitario de Matem\u00e1tica Pura y Aplicada, Universitat Polit\u00e8cnica de Val\u00e8ncia, Camino de Vera s/n, 46022 Valencia, Spain"],"raw_orcid":"https://orcid.org/0009-0001-5310-2559","affiliations":[{"raw_affiliation_string":"Instituto Universitario de Matem\u00e1tica Pura y Aplicada, Universitat Polit\u00e8cnica de Val\u00e8ncia, Camino de Vera s/n, 46022 Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059955897"],"corresponding_institution_ids":["https://openalex.org/I60053951"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2869029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"11","first_page":"760","last_page":"760"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8203200697898865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6936782598495483},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.6513574123382568},{"id":"https://openalex.org/keywords/eccentric","display_name":"Eccentric","score":0.5702050924301147},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5566650629043579},{"id":"https://openalex.org/keywords/lipschitz-domain","display_name":"Lipschitz domain","score":0.5542131662368774},{"id":"https://openalex.org/keywords/metric-map","display_name":"Metric map","score":0.5232537984848022},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.514397919178009},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43778055906295776},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3285481631755829},{"id":"https://openalex.org/keywords/convex-metric-space","display_name":"Convex metric space","score":0.19759529829025269},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1216781735420227},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.05211809277534485},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.041223734617233276}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8203200697898865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6936782598495483},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6513574123382568},{"id":"https://openalex.org/C100784341","wikidata":"https://www.wikidata.org/wiki/Q1340491","display_name":"Eccentric","level":2,"score":0.5702050924301147},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5566650629043579},{"id":"https://openalex.org/C13474197","wikidata":"https://www.wikidata.org/wiki/Q1158876","display_name":"Lipschitz domain","level":3,"score":0.5542131662368774},{"id":"https://openalex.org/C145084290","wikidata":"https://www.wikidata.org/wiki/Q2713824","display_name":"Metric map","level":4,"score":0.5232537984848022},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.514397919178009},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43778055906295776},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3285481631755829},{"id":"https://openalex.org/C196613150","wikidata":"https://www.wikidata.org/wiki/Q3966092","display_name":"Convex metric space","level":3,"score":0.19759529829025269},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1216781735420227},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.05211809277534485},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.041223734617233276},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms13110760","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110760","pdf_url":"https://www.mdpi.com/2075-1680/13/11/760/pdf?version=1730701386","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:riunet.upv.es:10251/214477","is_oa":true,"landing_page_url":"http://hdl.handle.net/10251/214477","pdf_url":null,"source":{"id":"https://openalex.org/S4306400639","display_name":"RiuNet (Universitat Polit\u00e8cnica de Val\u00e8ncia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60053951","host_organization_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","host_organization_lineage":["https://openalex.org/I60053951"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:53a305d9ac6a4ad8b06ed482f151300b","is_oa":false,"landing_page_url":"https://doaj.org/article/53a305d9ac6a4ad8b06ed482f151300b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 11, p 760 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13110760","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110760","pdf_url":"https://www.mdpi.com/2075-1680/13/11/760/pdf?version=1730701386","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2575764144","display_name":null,"funder_award_id":"101059609 (Re-Livestock)","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3743691931","display_name":null,"funder_award_id":"PID2022-138342NB-I00","funder_id":"https://openalex.org/F4320334905","funder_display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia"},{"id":"https://openalex.org/G380971739","display_name":null,"funder_award_id":"PAID-01-21","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5111782423","display_name":null,"funder_award_id":"PID2022-138342NB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6071347959","display_name":null,"funder_award_id":"101059609 (Re-Livestock)","funder_id":"https://openalex.org/F4320334905","funder_display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia"},{"id":"https://openalex.org/G6122765157","display_name":null,"funder_award_id":"PAID 01 21","funder_id":"https://openalex.org/F4320334905","funder_display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334905","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404024316.pdf","grobid_xml":"https://content.openalex.org/works/W4404024316.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1533194493","https://openalex.org/W2021422120","https://openalex.org/W2036469681","https://openalex.org/W2058582101","https://openalex.org/W2323812203","https://openalex.org/W2332604111","https://openalex.org/W2518578926","https://openalex.org/W2540228416","https://openalex.org/W2554609648","https://openalex.org/W2557223123","https://openalex.org/W2962731543","https://openalex.org/W2981119119","https://openalex.org/W3010758268","https://openalex.org/W3013333282","https://openalex.org/W3015381078","https://openalex.org/W3041616359","https://openalex.org/W4224903497","https://openalex.org/W4238591275","https://openalex.org/W4248776151","https://openalex.org/W4253680019","https://openalex.org/W4300958603","https://openalex.org/W4301722229","https://openalex.org/W4306764997","https://openalex.org/W4313389079","https://openalex.org/W4372215885","https://openalex.org/W4393155161","https://openalex.org/W6726881332","https://openalex.org/W6729865978"],"related_works":["https://openalex.org/W2897842840","https://openalex.org/W1587544905","https://openalex.org/W3207873697","https://openalex.org/W136692922","https://openalex.org/W3165347651","https://openalex.org/W4287172919","https://openalex.org/W2035173282","https://openalex.org/W3024211597","https://openalex.org/W2081214830","https://openalex.org/W2738534379"],"abstract_inverted_index":{"The":[0],"extension":[1],"of":[2,5,13,32,71,73,81,90,94,116,130,151,158,184,194],"the":[3,11,30,33,39,45,50,57,79,91,98,104,111,114,117,149,155,163,168,182],"concept":[4],"p-summability":[6],"for":[7,96,132,144],"linear":[8],"operators":[9,15,134],"to":[10,66,122,171],"context":[12],"Lipschitz":[14,59,106,133],"on":[16,61,181,188],"metric":[17,34,51,74,118,173],"spaces":[18,75],"has":[19],"been":[20],"extensively":[21],"studied":[22],"in":[23,78,113,154,167],"recent":[24],"years.":[25],"This":[26],"research":[27],"primarily":[28],"uses":[29],"linearization":[31],"space":[35,53],"M":[36,48],"afforded":[37],"by":[38,56,141],"associated":[40],"Arens\u2013Eells":[41],"space,":[42],"along":[43],"with":[44],"duality":[46],"between":[47,69,100],"and":[49,196],"dual":[52],"M#":[54,95],"defined":[55,187],"real-valued":[58],"functions":[60,107],"M.":[62],"However,":[63],"alternative":[64],"approaches":[65],"measuring":[67],"distances":[68,99],"sequences":[70],"elements":[72],"(essentially":[76],"involved":[77],"definition":[80],"p-summability)":[82],"exist.":[83],"One":[84],"approach":[85],"involves":[86],"considering":[87],"specific":[88],"subsets":[89],"unit":[92],"ball":[93],"computing":[97],"sequences,":[101],"such":[102,136],"as":[103],"real":[105],"derived":[108],"from":[109,119],"evaluating":[110],"difference":[112],"values":[115],"two":[120],"points":[121],"a":[123],"fixed":[124],"point.":[125],"We":[126],"introduce":[127],"new":[128,179],"notions":[129],"summability":[131,195],"involving":[135],"functions,":[137],"which":[138],"are":[139],"characterized":[140],"integral":[142],"dominations":[143],"those":[145],"operators.":[146],"To":[147],"show":[148,178],"applicability":[150],"our":[152],"results,":[153],"last":[156],"part":[157,170],"this":[159],"paper,":[160],"we":[161,177],"use":[162],"theoretical":[164],"tools":[165],"obtained":[166],"first":[169],"analyze":[172],"graphs.":[174],"In":[175],"particular,":[176],"results":[180],"behavior":[183],"numerical":[185],"indices":[186],"these":[189],"graphs":[190],"satisfying":[191],"certain":[192],"conditions":[193],"symmetry.":[197]},"counts_by_year":[],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2024-11-04T00:00:00"}