Linear Functionals Connected with Strong Double Cesaro Summability

D. Borwein characterized linear functionals on the normed linear spaces wp and Wp. In this paper we extend his results by presenting definitions for the double strong Cesaro mean. Using these new notions of strongly p-Cesaro summable double sequence and strongly p-Cesaro summable bivariate function...

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Main Authors: Fatih Nuray, Nimet Pancaroglu Akin
Format: Article
Language:English
Published: Etamaths Publishing 2019-04-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1863
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spelling doaj-7f2f8f0f92874491bc8fbd9a844d19c12020-11-25T01:35:07ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-04-01173361368375Linear Functionals Connected with Strong Double Cesaro SummabilityFatih Nuray0Nimet Pancaroglu Akin1AFYON KOCATEPE UNIVERSITYafyon Kocatepe universityD. Borwein characterized linear functionals on the normed linear spaces wp and Wp. In this paper we extend his results by presenting definitions for the double strong Cesaro mean. Using these new notions of strongly p-Cesaro summable double sequence and strongly p-Cesaro summable bivariate function we present extensions of D. Borwein’s results.http://www.etamaths.com/index.php/ijaa/article/view/1863
collection DOAJ
language English
format Article
sources DOAJ
author Fatih Nuray
Nimet Pancaroglu Akin
spellingShingle Fatih Nuray
Nimet Pancaroglu Akin
Linear Functionals Connected with Strong Double Cesaro Summability
International Journal of Analysis and Applications
author_facet Fatih Nuray
Nimet Pancaroglu Akin
author_sort Fatih Nuray
title Linear Functionals Connected with Strong Double Cesaro Summability
title_short Linear Functionals Connected with Strong Double Cesaro Summability
title_full Linear Functionals Connected with Strong Double Cesaro Summability
title_fullStr Linear Functionals Connected with Strong Double Cesaro Summability
title_full_unstemmed Linear Functionals Connected with Strong Double Cesaro Summability
title_sort linear functionals connected with strong double cesaro summability
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2019-04-01
description D. Borwein characterized linear functionals on the normed linear spaces wp and Wp. In this paper we extend his results by presenting definitions for the double strong Cesaro mean. Using these new notions of strongly p-Cesaro summable double sequence and strongly p-Cesaro summable bivariate function we present extensions of D. Borwein’s results.
url http://www.etamaths.com/index.php/ijaa/article/view/1863
work_keys_str_mv AT fatihnuray linearfunctionalsconnectedwithstrongdoublecesarosummability
AT nimetpancarogluakin linearfunctionalsconnectedwithstrongdoublecesarosummability
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