{"id":"https://openalex.org/W2951279906","doi":"https://doi.org/10.1007/s10998-019-00288-z","title":"On derivative of trigonometric polynomials and characterizations of modulus of smoothness in weighted Lebesgue space with variable exponent","display_name":"On derivative of trigonometric polynomials and characterizations of modulus of smoothness in weighted Lebesgue space with variable exponent","publication_year":2019,"publication_date":"2019-06-22","ids":{"openalex":"https://openalex.org/W2951279906","doi":"https://doi.org/10.1007/s10998-019-00288-z","mag":"2951279906"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-019-00288-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-019-00288-z","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/A5017925417","display_name":"Ahmet Testici","orcid":"https://orcid.org/0000-0002-1163-7037"},"institutions":[{"id":"https://openalex.org/I115600380","display_name":"Bal\u0131kesir University","ror":"https://ror.org/02tv7db43","country_code":"TR","type":"education","lineage":["https://openalex.org/I115600380"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Ahmet Testici","raw_affiliation_strings":["Department of Mathematics, Balikesir University, 10145, Balikesir, Turkey","Department of Mathematics, Balikesir University, Balikesir, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-1163-7037","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Balikesir University, 10145, Balikesir, Turkey","institution_ids":["https://openalex.org/I115600380"]},{"raw_affiliation_string":"Department of Mathematics, Balikesir University, Balikesir, Turkey","institution_ids":["https://openalex.org/I115600380"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017925417"],"corresponding_institution_ids":["https://openalex.org/I115600380"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.3248,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78138234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"80","issue":"1","first_page":"59","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9993000030517578,"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":0.9993000030517578,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9943000078201294,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9789000153541565,"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":0.9145605564117432},{"id":"https://openalex.org/keywords/standard-probability-space","display_name":"Standard probability space","score":0.706822395324707},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.5326012969017029},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.5251474380493164},{"id":"https://openalex.org/keywords/trigonometric-polynomial","display_name":"Trigonometric polynomial","score":0.5218321681022644},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5088856220245361},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4696235954761505},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.46930909156799316},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4514247477054596},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44556182622909546},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.3412126302719116},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.2834188938140869}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9145605564117432},{"id":"https://openalex.org/C12871628","wikidata":"https://www.wikidata.org/wiki/Q7598372","display_name":"Standard probability space","level":2,"score":0.706822395324707},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.5326012969017029},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.5251474380493164},{"id":"https://openalex.org/C156760230","wikidata":"https://www.wikidata.org/wiki/Q1969650","display_name":"Trigonometric polynomial","level":3,"score":0.5218321681022644},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5088856220245361},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4696235954761505},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.46930909156799316},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4514247477054596},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44556182622909546},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.3412126302719116},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.2834188938140869},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-019-00288-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-019-00288-z","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":[{"id":"https://openalex.org/G756855452","display_name":null,"funder_award_id":"114F422","funder_id":"https://openalex.org/F4320322626","funder_display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu"}],"funders":[{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W208007606","https://openalex.org/W633923972","https://openalex.org/W841923419","https://openalex.org/W1512638263","https://openalex.org/W1556415340","https://openalex.org/W1980842936","https://openalex.org/W2012033664","https://openalex.org/W2020881754","https://openalex.org/W2029111604","https://openalex.org/W2040389097","https://openalex.org/W2157216554","https://openalex.org/W2158774776","https://openalex.org/W2189562035","https://openalex.org/W2316660059","https://openalex.org/W2321724992","https://openalex.org/W2326325227","https://openalex.org/W2413142654","https://openalex.org/W2460857437","https://openalex.org/W2491397072","https://openalex.org/W2598648161","https://openalex.org/W2757226787","https://openalex.org/W2766241341","https://openalex.org/W2766857724","https://openalex.org/W2793546686","https://openalex.org/W2887376038","https://openalex.org/W2977059567","https://openalex.org/W3134024233"],"related_works":["https://openalex.org/W4387031439","https://openalex.org/W630157503","https://openalex.org/W2023470618","https://openalex.org/W1528126182","https://openalex.org/W3177202699","https://openalex.org/W586799606","https://openalex.org/W2067064900","https://openalex.org/W2035444101","https://openalex.org/W4221147392","https://openalex.org/W4225500693"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}