Fractional Cesàro Matrix and its Associated Sequence Space

In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert operator based on Cesàro and Gamma matrices. Th...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Roopaei H., İlkhan M.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	cesàro matrix hilbert matrix gamma matrix norm sequence space 26d15 40c05 40g05 47b37 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/8050e280b6ed4cfa8306ba56d8b332f8
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:8050e280b6ed4cfa8306ba56d8b332f8
record_format	dspace
spelling	oai:doaj.org-article:8050e280b6ed4cfa8306ba56d8b332f82021-12-05T14:10:45ZFractional Cesàro Matrix and its Associated Sequence Space2299-328210.1515/conop-2020-0112https://doaj.org/article/8050e280b6ed4cfa8306ba56d8b332f82021-02-01T00:00:00Zhttps://doi.org/10.1515/conop-2020-0112https://doaj.org/toc/2299-3282In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert operator based on Cesàro and Gamma matrices. The results of these factorizations are two new inequalities one ofwhich is a generalized version of thewell-known Hilbert’s inequality. There are also some challenging problems that authors share at the end of the manuscript and invite the researcher for trying to solve them.Roopaei H.İlkhan M.De Gruyterarticlecesàro matrixhilbert matrixgamma matrixnormsequence space26d1540c0540g0547b37MathematicsQA1-939ENConcrete Operators, Vol 8, Iss 1, Pp 24-39 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	cesàro matrix hilbert matrix gamma matrix norm sequence space 26d15 40c05 40g05 47b37 Mathematics QA1-939
spellingShingle	cesàro matrix hilbert matrix gamma matrix norm sequence space 26d15 40c05 40g05 47b37 Mathematics QA1-939 Roopaei H. İlkhan M. Fractional Cesàro Matrix and its Associated Sequence Space
description	In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert operator based on Cesàro and Gamma matrices. The results of these factorizations are two new inequalities one ofwhich is a generalized version of thewell-known Hilbert’s inequality. There are also some challenging problems that authors share at the end of the manuscript and invite the researcher for trying to solve them.
format	article
author	Roopaei H. İlkhan M.
author_facet	Roopaei H. İlkhan M.
author_sort	Roopaei H.
title	Fractional Cesàro Matrix and its Associated Sequence Space
title_short	Fractional Cesàro Matrix and its Associated Sequence Space
title_full	Fractional Cesàro Matrix and its Associated Sequence Space
title_fullStr	Fractional Cesàro Matrix and its Associated Sequence Space
title_full_unstemmed	Fractional Cesàro Matrix and its Associated Sequence Space
title_sort	fractional cesàro matrix and its associated sequence space
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/8050e280b6ed4cfa8306ba56d8b332f8
work_keys_str_mv	AT roopaeih fractionalcesaromatrixanditsassociatedsequencespace AT ilkhanm fractionalcesaromatrixanditsassociatedsequencespace
_version_	1718371764483915776

Fractional Cesàro Matrix and its Associated Sequence Space

Ejemplares similares