$The almost lacunary $\chi^{2}$ sequence spaces defined by modulus$

The almost lacunary $\chi^{2}$ sequence spaces defined by modulus

In this paper we introduce a new concept for almost lacunary $\chi^{2}$ sequence spaces strong $P-$ convergent to zero with respect to an modulus function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of almost lacunary $\chi^{2}$ s...

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Main Author:	N. Subramanian
Format:	Article
Language:	English
Published:	Sociedade Brasileira de Matemática 2014-09-01
Series:	Boletim da Sociedade Paranaense de Matemática
Subjects:	analytic sequence modulus function double sequences chi sequence
Online Access:	http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21468

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spelling	doaj-e54932b5159340e2969e52cfe1a15aba2020-11-25T00:01:48ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882014-09-0132220922010.5269/bspm.v32i2.2146810416The almost lacunary $\chi^{2}$ sequence spaces defined by modulusN. Subramanian0SASTRA University Department of MathematicsIn this paper we introduce a new concept for almost lacunary $\chi^{2}$ sequence spaces strong $P-$ convergent to zero with respect to an modulus function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of almost lacunary $\chi^{2}$ sequence spaces and also some inclusion theorems are discussed.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21468analytic sequencemodulus functiondouble sequenceschi sequence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	N. Subramanian
spellingShingle	N. Subramanian The almost lacunary $\chi^{2}$ sequence spaces defined by modulus Boletim da Sociedade Paranaense de Matemática analytic sequence modulus function double sequences chi sequence
author_facet	N. Subramanian
author_sort	N. Subramanian
title	The almost lacunary $\chi^{2}$ sequence spaces defined by modulus
title_short	The almost lacunary $\chi^{2}$ sequence spaces defined by modulus
title_full	The almost lacunary $\chi^{2}$ sequence spaces defined by modulus
title_fullStr	The almost lacunary $\chi^{2}$ sequence spaces defined by modulus
title_full_unstemmed	The almost lacunary $\chi^{2}$ sequence spaces defined by modulus
title_sort	almost lacunary $\chi^{2}$ sequence spaces defined by modulus
publisher	Sociedade Brasileira de Matemática
series	Boletim da Sociedade Paranaense de Matemática
issn	0037-8712 2175-1188
publishDate	2014-09-01
description	In this paper we introduce a new concept for almost lacunary $\chi^{2}$ sequence spaces strong $P-$ convergent to zero with respect to an modulus function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of almost lacunary $\chi^{2}$ sequence spaces and also some inclusion theorems are discussed.
topic	analytic sequence modulus function double sequences chi sequence
url	http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21468
work_keys_str_mv	AT nsubramanian thealmostlacunarychi2sequencespacesdefinedbymodulus AT nsubramanian almostlacunarychi2sequencespacesdefinedbymodulus
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The almost lacunary $\chi^{2}$ sequence spaces defined by modulus

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