On difference sequence spaces defined by Orlicz functions without convexity

Authors

  • H. Dutta Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India
Abstract:

In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.  

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

on difference sequence spaces defined by orlicz functions without convexity

in this paper, we first define spaces of single difference sequences defined by a sequence of orlicz functions without convexity and investigate their properties. then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.

full text

double sequence spaces defined by orlicz functions

in this paper we introduce some new double sequence spaces using the orlicz function andexamine some properties of the resulting sequence spaces.

full text

Some Difference Paranormed Sequence Spaces Defined by Orlicz Functions

In this paper we introduce the difference paranormed sequence spaces c0(M,∆m, p), c(M,∆ n m, p) and `∞(M,∆ n m, p) respectively. We study their different properties like completeness, solidity, monotonicity, symmetricity etc. We also obtain some relations between these spaces as well as prove some inclusion results.

full text

Generalized Difference Sequence Spaces Defined by Orlicz Functions

The idea of difference sequences was first introduced by Kizmaz [4]. In this first paper we define some generalized difference sequence combining lacunary sequences and Orlicz function. We establish some relations between these sequence space.

full text

Some Paranormed Difference Double Sequence Spaces Defined by Orlicz Function

In this article we introduce some vector valued difference paranormed double sequence spaces defined by Orlicz function. We study some of their properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

full text

Some Vector Valued Multiplier Difference Sequence Spaces Defined by a Sequence of Orlicz Functions

In this article we introduce some new difference sequence spaces with a real 2-normed linear space as base space and which are defined using a sequence of Orlicz functions, a bounded sequence of positive real numbers and a sequence of non-zero reals as multiplier sequence. We show that these spaces are complete paranormed spaces when the base space is a 2-Banach space and investigate these spac...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 41  issue 2

pages  477- 489

publication date 2015-04-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023