$On a new class of generalized difference sequence spaces of fractional order defined by modulus function$
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On a new class of generalized difference sequence spaces of fractional order defined by modulus function

Abstract Recently Baliarsingh and Dutta [11], [12] introduced the fractional difference operator Δα , defined by Δα(xk) = and defined new classes of generalized difference sequence spaces of fractional order X(Γ, Δα, u) where X = {&a...

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Autor principal:	Yaying,Taja
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	Difference operator Paranormed sequence Lacunary sequence Modulus function 46A45 40A35 46A80
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000300485
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spelling	oai:scielo:S0716-091720190003004852019-08-28On a new class of generalized difference sequence spaces of fractional order defined by modulus functionYaying,Taja Difference operator Paranormed sequence Lacunary sequence Modulus function 46A45 40A35 46A80 Abstract Recently Baliarsingh and Dutta [11], [12] introduced the fractional difference operator Δα , defined by Δα(xk) = and defined new classes of generalized difference sequence spaces of fractional order X(Γ, Δα, u) where X = {𝓁∞, c, c0} . More recently, Kadak [21] studied strongly Cesàro and statistical difference sequence space of fractional order involving lacunary sequences using the fractional difference operator is is any fixed sequence of positive real or complex numbers. Following Baliarsingh and Dutta [11], [12] and Kadak [21], we introduce paranormed difference sequence spaces of fractional order involving lacunary sequence, θ and modulus function, f. We investigate topological structures of these spaces and examine various inclusion relations.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.3 20192019-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000300485en10.22199/issn.0717-6279-2019-03-0031
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Difference operator Paranormed sequence Lacunary sequence Modulus function 46A45 40A35 46A80
spellingShingle	Difference operator Paranormed sequence Lacunary sequence Modulus function 46A45 40A35 46A80 Yaying,Taja On a new class of generalized difference sequence spaces of fractional order defined by modulus function
description	Abstract Recently Baliarsingh and Dutta [11], [12] introduced the fractional difference operator Δα , defined by Δα(xk) = and defined new classes of generalized difference sequence spaces of fractional order X(Γ, Δα, u) where X = {𝓁∞, c, c0} . More recently, Kadak [21] studied strongly Cesàro and statistical difference sequence space of fractional order involving lacunary sequences using the fractional difference operator is is any fixed sequence of positive real or complex numbers. Following Baliarsingh and Dutta [11], [12] and Kadak [21], we introduce paranormed difference sequence spaces of fractional order involving lacunary sequence, θ and modulus function, f. We investigate topological structures of these spaces and examine various inclusion relations.
author	Yaying,Taja
author_facet	Yaying,Taja
author_sort	Yaying,Taja
title	On a new class of generalized difference sequence spaces of fractional order defined by modulus function
title_short	On a new class of generalized difference sequence spaces of fractional order defined by modulus function
title_full	On a new class of generalized difference sequence spaces of fractional order defined by modulus function
title_fullStr	On a new class of generalized difference sequence spaces of fractional order defined by modulus function
title_full_unstemmed	On a new class of generalized difference sequence spaces of fractional order defined by modulus function
title_sort	on a new class of generalized difference sequence spaces of fractional order defined by modulus function
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000300485
work_keys_str_mv	AT yayingtaja onanewclassofgeneralizeddifferencesequencespacesoffractionalorderdefinedbymodulusfunction
_version_	1718439851658838016

On a new class of generalized difference sequence spaces of fractional order defined by modulus function

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