{"id":"https://openalex.org/W3184989611","doi":"https://doi.org/10.1007/s10998-021-00397-8","title":"Trigonometric approximation of functions in $$L_1$$-norm","display_name":"Trigonometric approximation of functions in $$L_1$$-norm","publication_year":2021,"publication_date":"2021-07-23","ids":{"openalex":"https://openalex.org/W3184989611","doi":"https://doi.org/10.1007/s10998-021-00397-8","mag":"3184989611"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-021-00397-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-021-00397-8","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/A5037112809","display_name":"Prem Chandra","orcid":null},"institutions":[{"id":"https://openalex.org/I86381314","display_name":"Vikram University","ror":"https://ror.org/002k8gm39","country_code":"IN","type":"education","lineage":["https://openalex.org/I86381314"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Prem Chandra","raw_affiliation_strings":["Formarly Vikram University, C-315, Vivekanand Nagar, Ujjain, 456010, India","Formarly Vikram University, Ujjain, India"],"affiliations":[{"raw_affiliation_string":"Formarly Vikram University, C-315, Vivekanand Nagar, Ujjain, 456010, India","institution_ids":["https://openalex.org/I86381314"]},{"raw_affiliation_string":"Formarly Vikram University, Ujjain, India","institution_ids":["https://openalex.org/I86381314"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021216244","display_name":"Varsha Karanjgaokar","orcid":null},"institutions":[{"id":"https://openalex.org/I38335241","display_name":"National Institute of Technology Raipur","ror":"https://ror.org/02y553197","country_code":"IN","type":"education","lineage":["https://openalex.org/I38335241"]},{"id":"https://openalex.org/I2799791569","display_name":"Pt. Jawahar Lal Nehru Memorial Medical College","ror":"https://ror.org/04h4g6162","country_code":"IN","type":"education","lineage":["https://openalex.org/I2799791569"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Varsha Karanjgaokar","raw_affiliation_strings":["Department of Mathematics, Govt.N.P.G.College of Science, Raipur, 492010, India","Department of Mathematics, Govt.N.P.G.College of Science, Raipur, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Govt.N.P.G.College of Science, Raipur, 492010, India","institution_ids":["https://openalex.org/I38335241","https://openalex.org/I2799791569"]},{"raw_affiliation_string":"Department of Mathematics, Govt.N.P.G.College of Science, Raipur, India","institution_ids":["https://openalex.org/I38335241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037112809"],"corresponding_institution_ids":["https://openalex.org/I86381314"],"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":0.10954784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"84","issue":"2","first_page":"177","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9998000264167786,"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":0.9998000264167786,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9804999828338623,"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":0.8890612125396729},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.716977596282959},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5857024788856506},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5793836712837219},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.5601758360862732},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5031949877738953},{"id":"https://openalex.org/keywords/beta","display_name":"BETA (programming language)","score":0.4666464328765869},{"id":"https://openalex.org/keywords/trigonometric-polynomial","display_name":"Trigonometric polynomial","score":0.4256887137889862},{"id":"https://openalex.org/keywords/uniform-norm","display_name":"Uniform norm","score":0.4112715721130371},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33027034997940063},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3250083923339844},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05005776882171631}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8890612125396729},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.716977596282959},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5857024788856506},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5793836712837219},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.5601758360862732},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5031949877738953},{"id":"https://openalex.org/C2776174256","wikidata":"https://www.wikidata.org/wiki/Q830842","display_name":"BETA (programming language)","level":2,"score":0.4666464328765869},{"id":"https://openalex.org/C156760230","wikidata":"https://www.wikidata.org/wiki/Q1969650","display_name":"Trigonometric polynomial","level":3,"score":0.4256887137889862},{"id":"https://openalex.org/C146324458","wikidata":"https://www.wikidata.org/wiki/Q1202673","display_name":"Uniform norm","level":2,"score":0.4112715721130371},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33027034997940063},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3250083923339844},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05005776882171631},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political 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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-021-00397-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-021-00397-8","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":13,"referenced_works":["https://openalex.org/W1570808549","https://openalex.org/W1611391219","https://openalex.org/W1841462423","https://openalex.org/W1988120152","https://openalex.org/W2002092668","https://openalex.org/W2061656356","https://openalex.org/W2077000698","https://openalex.org/W2095744548","https://openalex.org/W2112141296","https://openalex.org/W2297042684","https://openalex.org/W2340010777","https://openalex.org/W2548874991","https://openalex.org/W2963325178"],"related_works":["https://openalex.org/W4387031439","https://openalex.org/W630157503","https://openalex.org/W2023470618","https://openalex.org/W1498933441","https://openalex.org/W2153015377","https://openalex.org/W644441814","https://openalex.org/W3022244109","https://openalex.org/W2060643018","https://openalex.org/W4289328889","https://openalex.org/W2898978554"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}