Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices

The aim of this paper is to introduce some new double difference sequence spaces with the help of the Musielak-Orlicz function ℱ=(Fjk) and four-dimensional bounded-regular (shortly, RH-regular) matrices A=(anmjk). We also make an effort to study some topological properties and inclusion relations be...

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Main Authors: S. A. Mohiuddine, Kuldip Raj, Abdullah Alotaibi
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/419064
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author S. A. Mohiuddine
Kuldip Raj
Abdullah Alotaibi
author_facet S. A. Mohiuddine
Kuldip Raj
Abdullah Alotaibi
author_sort S. A. Mohiuddine
collection DOAJ
description The aim of this paper is to introduce some new double difference sequence spaces with the help of the Musielak-Orlicz function ℱ=(Fjk) and four-dimensional bounded-regular (shortly, RH-regular) matrices A=(anmjk). We also make an effort to study some topological properties and inclusion relations between these double difference sequence spaces.
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institution Kabale University
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spelling doaj-art-7005153dea2e4ae6a7333b592a14be072025-02-03T07:25:23ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/419064419064Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular MatricesS. A. Mohiuddine0Kuldip Raj1Abdullah Alotaibi2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaSchool of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir 182320, IndiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe aim of this paper is to introduce some new double difference sequence spaces with the help of the Musielak-Orlicz function ℱ=(Fjk) and four-dimensional bounded-regular (shortly, RH-regular) matrices A=(anmjk). We also make an effort to study some topological properties and inclusion relations between these double difference sequence spaces.http://dx.doi.org/10.1155/2014/419064
spellingShingle S. A. Mohiuddine
Kuldip Raj
Abdullah Alotaibi
Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices
Abstract and Applied Analysis
title Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices
title_full Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices
title_fullStr Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices
title_full_unstemmed Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices
title_short Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices
title_sort some paranormed double difference sequence spaces for orlicz functions and bounded regular matrices
url http://dx.doi.org/10.1155/2014/419064
work_keys_str_mv AT samohiuddine someparanormeddoubledifferencesequencespacesfororliczfunctionsandboundedregularmatrices
AT kuldipraj someparanormeddoubledifferencesequencespacesfororliczfunctionsandboundedregularmatrices
AT abdullahalotaibi someparanormeddoubledifferencesequencespacesfororliczfunctionsandboundedregularmatrices