{"id":"https://openalex.org/W2955402501","doi":"https://doi.org/10.1007/s10998-019-00293-2","title":"On the equivalence of the K-functional and the modulus of continuity on the periodic variable exponent Morrey spaces","display_name":"On the equivalence of the K-functional and the modulus of continuity on the periodic variable exponent Morrey spaces","publication_year":2019,"publication_date":"2019-06-28","ids":{"openalex":"https://openalex.org/W2955402501","doi":"https://doi.org/10.1007/s10998-019-00293-2","mag":"2955402501"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-019-00293-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-019-00293-2","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081262889","display_name":"Arash Ghorbanalizadeh","orcid":"https://orcid.org/0000-0002-1988-6425"},"institutions":[{"id":"https://openalex.org/I161028277","display_name":"Institute for Advanced Studies in Basic Sciences","ror":"https://ror.org/00bzsst90","country_code":"IR","type":"education","lineage":["https://openalex.org/I161028277"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Arash Ghorbanalizadeh","raw_affiliation_strings":["Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran"],"raw_orcid":"https://orcid.org/0000-0002-1988-6425","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran","institution_ids":["https://openalex.org/I161028277"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043673121","display_name":"Reza Roohi Seraji","orcid":null},"institutions":[{"id":"https://openalex.org/I161028277","display_name":"Institute for Advanced Studies in Basic Sciences","ror":"https://ror.org/00bzsst90","country_code":"IR","type":"education","lineage":["https://openalex.org/I161028277"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Reza Roohi Seraji","raw_affiliation_strings":["Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran","institution_ids":["https://openalex.org/I161028277"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081262889"],"corresponding_institution_ids":["https://openalex.org/I161028277"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10669792,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"80","issue":"2","first_page":"185","last_page":"194"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13234","display_name":"advanced mathematical theories","score":0.9926999807357788,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9424426555633545},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5849800705909729},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5837528705596924},{"id":"https://openalex.org/keywords/modulus","display_name":"Modulus","score":0.5315523147583008},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5224679708480835},{"id":"https://openalex.org/keywords/modulus-of-continuity","display_name":"Modulus of continuity","score":0.5108765959739685},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.47667694091796875},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15949761867523193},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.10559657216072083}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9424426555633545},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5849800705909729},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5837528705596924},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.5315523147583008},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5224679708480835},{"id":"https://openalex.org/C3098717","wikidata":"https://www.wikidata.org/wiki/Q1144872","display_name":"Modulus of continuity","level":3,"score":0.5108765959739685},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47667694091796875},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15949761867523193},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.10559657216072083},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-019-00293-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-019-00293-2","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W129030434","https://openalex.org/W208007606","https://openalex.org/W570230096","https://openalex.org/W633923972","https://openalex.org/W1486358692","https://openalex.org/W1515754060","https://openalex.org/W1607743380","https://openalex.org/W1980073652","https://openalex.org/W2042172774","https://openalex.org/W2070738036","https://openalex.org/W2088463128","https://openalex.org/W2156280548","https://openalex.org/W2165645766","https://openalex.org/W2328383449","https://openalex.org/W2491397072","https://openalex.org/W2567575095","https://openalex.org/W2572979937","https://openalex.org/W2766857724","https://openalex.org/W2802297169","https://openalex.org/W2898845905","https://openalex.org/W4205354563","https://openalex.org/W4231001225"],"related_works":["https://openalex.org/W2344783374","https://openalex.org/W2467119940","https://openalex.org/W2585884420","https://openalex.org/W3194077685","https://openalex.org/W2152758797","https://openalex.org/W1979234702","https://openalex.org/W2382762871","https://openalex.org/W2062219402","https://openalex.org/W2950599922","https://openalex.org/W2000161518"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
