Loading…
On approximation of the rate of convergence of Fourier series in the generalized Hölder metric by Deferred Nörlund mean
In this paper, we have studied an estimate of the rate of convergence of Fourier series in the generalized Hölder metric H L r ( ω ) space by using deferred Nörlund mean and established some new results. Our results are more advanced that generalize and unify many other results available in the lite...
Saved in:
Published in: | Afrika mathematica 2019-11, Vol.30 (7-8), p.1119-1131 |
---|---|
Main Authors: | , , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
cited_by | cdi_FETCH-LOGICAL-c319t-e2ef433ad62c80515edf59e4a68e19a2a5ef06973bdd3f189d0f2c6158272c6a3 |
---|---|
cites | cdi_FETCH-LOGICAL-c319t-e2ef433ad62c80515edf59e4a68e19a2a5ef06973bdd3f189d0f2c6158272c6a3 |
container_end_page | 1131 |
container_issue | 7-8 |
container_start_page | 1119 |
container_title | Afrika mathematica |
container_volume | 30 |
creator | Pradhan, T. Jena, B. B. Paikray, S. K. Dutta, H. Misra, U. K. |
description | In this paper, we have studied an estimate of the rate of convergence of Fourier series in the generalized Hölder metric
H
L
r
(
ω
)
space by using deferred Nörlund mean and established some new results. Our results are more advanced that generalize and unify many other results available in the literature. |
doi_str_mv | 10.1007/s13370-019-00706-y |
format | article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2307445026</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2307445026</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-e2ef433ad62c80515edf59e4a68e19a2a5ef06973bdd3f189d0f2c6158272c6a3</originalsourceid><addsrcrecordid>eNp9UMtOwzAQtBBIVKU_wMkSZ4MfsRMfUaEUqaIXOFtusi6pUqfYKSJ8WH-gP4bbInFjL7OrmdnVDkLXjN4ySvO7yITIKaFMkzRSRfozNOBMU5IrVZyjAaOME51ReYlGMa5oqkwxJcUA9XOP7WYT2q96bbu69bh1uHsHHGwHh75s_SeEJfjyOE7abagh4AgJIq79UZxoCLapv6HC0_2uqZJiDV2oS7zo8QM4CCFRL_tdaLa-Spz1V-jC2SbC6BeH6G3y-Dqektn86Xl8PyOlYLojwMFlQthK8bKgkkmonNSQWVUA05ZbCY4qnYtFVQnHCl1Rx0vFZMHzhFYM0c1pb3ryYwuxM6v0g08nDRc0zzJJuUoqflKVoY0xgDObkBIJvWHUHFI2p5RNStkcUzZ9MomTKSaxX0L4W_2P6weJBYKi</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2307445026</pqid></control><display><type>article</type><title>On approximation of the rate of convergence of Fourier series in the generalized Hölder metric by Deferred Nörlund mean</title><source>Springer Nature</source><creator>Pradhan, T. ; Jena, B. B. ; Paikray, S. K. ; Dutta, H. ; Misra, U. K.</creator><creatorcontrib>Pradhan, T. ; Jena, B. B. ; Paikray, S. K. ; Dutta, H. ; Misra, U. K.</creatorcontrib><description>In this paper, we have studied an estimate of the rate of convergence of Fourier series in the generalized Hölder metric
H
L
r
(
ω
)
space by using deferred Nörlund mean and established some new results. Our results are more advanced that generalize and unify many other results available in the literature.</description><identifier>ISSN: 1012-9405</identifier><identifier>EISSN: 2190-7668</identifier><identifier>DOI: 10.1007/s13370-019-00706-y</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applications of Mathematics ; Convergence ; Economic models ; Fourier series ; History of Mathematical Sciences ; Mathematics ; Mathematics and Statistics ; Mathematics Education</subject><ispartof>Afrika mathematica, 2019-11, Vol.30 (7-8), p.1119-1131</ispartof><rights>African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2019</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-e2ef433ad62c80515edf59e4a68e19a2a5ef06973bdd3f189d0f2c6158272c6a3</citedby><cites>FETCH-LOGICAL-c319t-e2ef433ad62c80515edf59e4a68e19a2a5ef06973bdd3f189d0f2c6158272c6a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Pradhan, T.</creatorcontrib><creatorcontrib>Jena, B. B.</creatorcontrib><creatorcontrib>Paikray, S. K.</creatorcontrib><creatorcontrib>Dutta, H.</creatorcontrib><creatorcontrib>Misra, U. K.</creatorcontrib><title>On approximation of the rate of convergence of Fourier series in the generalized Hölder metric by Deferred Nörlund mean</title><title>Afrika mathematica</title><addtitle>Afr. Mat</addtitle><description>In this paper, we have studied an estimate of the rate of convergence of Fourier series in the generalized Hölder metric
H
L
r
(
ω
)
space by using deferred Nörlund mean and established some new results. Our results are more advanced that generalize and unify many other results available in the literature.</description><subject>Applications of Mathematics</subject><subject>Convergence</subject><subject>Economic models</subject><subject>Fourier series</subject><subject>History of Mathematical Sciences</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Mathematics Education</subject><issn>1012-9405</issn><issn>2190-7668</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9UMtOwzAQtBBIVKU_wMkSZ4MfsRMfUaEUqaIXOFtusi6pUqfYKSJ8WH-gP4bbInFjL7OrmdnVDkLXjN4ySvO7yITIKaFMkzRSRfozNOBMU5IrVZyjAaOME51ReYlGMa5oqkwxJcUA9XOP7WYT2q96bbu69bh1uHsHHGwHh75s_SeEJfjyOE7abagh4AgJIq79UZxoCLapv6HC0_2uqZJiDV2oS7zo8QM4CCFRL_tdaLa-Spz1V-jC2SbC6BeH6G3y-Dqektn86Xl8PyOlYLojwMFlQthK8bKgkkmonNSQWVUA05ZbCY4qnYtFVQnHCl1Rx0vFZMHzhFYM0c1pb3ryYwuxM6v0g08nDRc0zzJJuUoqflKVoY0xgDObkBIJvWHUHFI2p5RNStkcUzZ9MomTKSaxX0L4W_2P6weJBYKi</recordid><startdate>20191101</startdate><enddate>20191101</enddate><creator>Pradhan, T.</creator><creator>Jena, B. B.</creator><creator>Paikray, S. K.</creator><creator>Dutta, H.</creator><creator>Misra, U. K.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20191101</creationdate><title>On approximation of the rate of convergence of Fourier series in the generalized Hölder metric by Deferred Nörlund mean</title><author>Pradhan, T. ; Jena, B. B. ; Paikray, S. K. ; Dutta, H. ; Misra, U. K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-e2ef433ad62c80515edf59e4a68e19a2a5ef06973bdd3f189d0f2c6158272c6a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Applications of Mathematics</topic><topic>Convergence</topic><topic>Economic models</topic><topic>Fourier series</topic><topic>History of Mathematical Sciences</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Mathematics Education</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pradhan, T.</creatorcontrib><creatorcontrib>Jena, B. B.</creatorcontrib><creatorcontrib>Paikray, S. K.</creatorcontrib><creatorcontrib>Dutta, H.</creatorcontrib><creatorcontrib>Misra, U. K.</creatorcontrib><collection>CrossRef</collection><jtitle>Afrika mathematica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pradhan, T.</au><au>Jena, B. B.</au><au>Paikray, S. K.</au><au>Dutta, H.</au><au>Misra, U. K.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On approximation of the rate of convergence of Fourier series in the generalized Hölder metric by Deferred Nörlund mean</atitle><jtitle>Afrika mathematica</jtitle><stitle>Afr. Mat</stitle><date>2019-11-01</date><risdate>2019</risdate><volume>30</volume><issue>7-8</issue><spage>1119</spage><epage>1131</epage><pages>1119-1131</pages><issn>1012-9405</issn><eissn>2190-7668</eissn><abstract>In this paper, we have studied an estimate of the rate of convergence of Fourier series in the generalized Hölder metric
H
L
r
(
ω
)
space by using deferred Nörlund mean and established some new results. Our results are more advanced that generalize and unify many other results available in the literature.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s13370-019-00706-y</doi><tpages>13</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1012-9405 |
ispartof | Afrika mathematica, 2019-11, Vol.30 (7-8), p.1119-1131 |
issn | 1012-9405 2190-7668 |
language | eng |
recordid | cdi_proquest_journals_2307445026 |
source | Springer Nature |
subjects | Applications of Mathematics Convergence Economic models Fourier series History of Mathematical Sciences Mathematics Mathematics and Statistics Mathematics Education |
title | On approximation of the rate of convergence of Fourier series in the generalized Hölder metric by Deferred Nörlund mean |
url | http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-22T18%3A24%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20approximation%20of%20the%20rate%20of%20convergence%20of%20Fourier%20series%20in%20the%20generalized%20H%C3%B6lder%20metric%20by%20Deferred%20N%C3%B6rlund%20mean&rft.jtitle=Afrika%20mathematica&rft.au=Pradhan,%20T.&rft.date=2019-11-01&rft.volume=30&rft.issue=7-8&rft.spage=1119&rft.epage=1131&rft.pages=1119-1131&rft.issn=1012-9405&rft.eissn=2190-7668&rft_id=info:doi/10.1007/s13370-019-00706-y&rft_dat=%3Cproquest_cross%3E2307445026%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c319t-e2ef433ad62c80515edf59e4a68e19a2a5ef06973bdd3f189d0f2c6158272c6a3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2307445026&rft_id=info:pmid/&rfr_iscdi=true |