{"id":"https://openalex.org/W4386219937","doi":"https://doi.org/10.3390/sym15091659","title":"On Some Sequence Spaces via q-Pascal Matrix and Its Geometric Properties","display_name":"On Some Sequence Spaces via q-Pascal Matrix and Its Geometric Properties","publication_year":2023,"publication_date":"2023-08-28","ids":{"openalex":"https://openalex.org/W4386219937","doi":"https://doi.org/10.3390/sym15091659"},"language":"en","primary_location":{"id":"doi:10.3390/sym15091659","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15091659","pdf_url":"https://www.mdpi.com/2073-8994/15/9/1659/pdf?version=1693216948","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/9/1659/pdf?version=1693216948","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053611401","display_name":"Taja Yaying","orcid":"https://orcid.org/0000-0003-3435-8417"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Taja Yaying","raw_affiliation_strings":["Department of Mathematics, Dera Natung Government College, Itanagar 791113, India"],"raw_orcid":"https://orcid.org/0000-0003-3435-8417","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dera Natung Government College, Itanagar 791113, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030425660","display_name":"Bipan Hazarika","orcid":"https://orcid.org/0000-0002-0644-0600"},"institutions":[{"id":"https://openalex.org/I138537684","display_name":"Gauhati University","ror":"https://ror.org/01ppj9r51","country_code":"IN","type":"education","lineage":["https://openalex.org/I138537684"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bipan Hazarika","raw_affiliation_strings":["Department of Mathematics, Gauhati University, Gauhati 781014, India"],"raw_orcid":"https://orcid.org/0000-0002-0644-0600","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Gauhati University, Gauhati 781014, India","institution_ids":["https://openalex.org/I138537684"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025400174","display_name":"Mik\u00e2il Et","orcid":"https://orcid.org/0000-0001-8292-7819"},"institutions":[{"id":"https://openalex.org/I143396566","display_name":"F\u0131rat University","ror":"https://ror.org/05teb7b63","country_code":"TR","type":"education","lineage":["https://openalex.org/I143396566"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Mikail Et","raw_affiliation_strings":["Department of Mathematics, Firat University, Elazi\u01e7 23119, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-8292-7819","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Firat University, Elazi\u01e7 23119, Turkey","institution_ids":["https://openalex.org/I143396566"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025400174"],"corresponding_institution_ids":["https://openalex.org/I143396566"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.9912,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87830601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"15","issue":"9","first_page":"1659","last_page":"1659"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9955000281333923,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.7866193056106567},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7384313344955444},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6479842066764832},{"id":"https://openalex.org/keywords/sequence-space","display_name":"Sequence space","score":0.5746588706970215},{"id":"https://openalex.org/keywords/schauder-basis","display_name":"Schauder basis","score":0.572433590888977},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.560310423374176},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4532046616077423},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44550007581710815},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41404229402542114},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4061901271343231},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3961719870567322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08558022975921631}],"concepts":[{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.7866193056106567},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7384313344955444},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6479842066764832},{"id":"https://openalex.org/C30711495","wikidata":"https://www.wikidata.org/wiki/Q289411","display_name":"Sequence space","level":3,"score":0.5746588706970215},{"id":"https://openalex.org/C76801838","wikidata":"https://www.wikidata.org/wiki/Q777879","display_name":"Schauder basis","level":3,"score":0.572433590888977},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.560310423374176},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4532046616077423},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44550007581710815},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41404229402542114},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4061901271343231},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3961719870567322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08558022975921631},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15091659","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15091659","pdf_url":"https://www.mdpi.com/2073-8994/15/9/1659/pdf?version=1693216948","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:394f5ee9655e455b9f0cb031ab9b6808","is_oa":false,"landing_page_url":"https://doaj.org/article/394f5ee9655e455b9f0cb031ab9b6808","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":"Symmetry, Vol 15, Iss 9, p 1659 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/9/1659/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15091659","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15091659","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15091659","pdf_url":"https://www.mdpi.com/2073-8994/15/9/1659/pdf?version=1693216948","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386219937.pdf"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W18524498","https://openalex.org/W635817034","https://openalex.org/W1553283060","https://openalex.org/W1972439526","https://openalex.org/W2007021516","https://openalex.org/W2038892837","https://openalex.org/W2049612154","https://openalex.org/W2068838874","https://openalex.org/W2108139741","https://openalex.org/W2535353534","https://openalex.org/W2736034534","https://openalex.org/W2795746499","https://openalex.org/W2920857864","https://openalex.org/W2950029166","https://openalex.org/W3047144032","https://openalex.org/W4238430941","https://openalex.org/W4240644230","https://openalex.org/W4281917355","https://openalex.org/W4283071016","https://openalex.org/W4293087758","https://openalex.org/W4360855954","https://openalex.org/W4380629808","https://openalex.org/W6674606517"],"related_works":["https://openalex.org/W3100559526","https://openalex.org/W1507240456","https://openalex.org/W2100050212","https://openalex.org/W3088241266","https://openalex.org/W4300594067","https://openalex.org/W3030774035","https://openalex.org/W2382218144","https://openalex.org/W1548813692","https://openalex.org/W4237519451","https://openalex.org/W2306047774"],"abstract_inverted_index":{"We":[0,14,45,69],"develop":[1],"some":[2,16,72],"new":[3],"sequence":[4],"spaces":[5,90],"\ud835\udcc1p(P(q))":[6,31,91],"and":[7,32,37,84,92],"\ud835\udcc1\u221e(P(q))":[8],"by":[9],"using":[10],"q-Pascal":[11],"matrix":[12],"P(q).":[13],"discuss":[15],"topological":[17],"properties":[18],"of":[19,40,51,66,88],"the":[20,25,29,34,41,58,76,89],"newly":[21,42],"defined":[22,43],"spaces,":[23],"obtain":[24],"Schauder":[26],"basis":[27],"for":[28],"space":[30],"determine":[33],"Alpha-(\u03b1-),":[35],"Beta-(\u03b2-)":[36],"Gamma-(\u03b3-)":[38],"duals":[39],"spaces.":[44],"characterize":[46,62],"a":[47],"certain":[48,63],"class":[49],"(\ud835\udcc1p(P(q)),X)":[50],"infinite":[52,67],"matrices,":[53],"where":[54],"X\u2208{\ud835\udcc1\u221e,c,c0}.":[55],"Furthermore,":[56],"utilizing":[57],"proposed":[59],"results,":[60],"we":[61],"other":[64],"classes":[65],"matrices.":[68],"also":[70],"examine":[71],"geometric":[73],"properties,":[74],"like":[75],"approximation":[77],"property,":[78,80,83],"Dunford\u2013Pettis":[79],"Hahn\u2013Banach":[81],"extension":[82],"Banach\u2013Saks-type":[85],"p":[86],"property":[87],"\ud835\udcc1\u221e(P(q)).":[93]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
