Research Article

SOME HIGHER ORDER DIFFERENCE DOUBLE SEQUENCE SPACES DEFINED BY AN ORLICZ FUNCTION

Volume: 3 Number: 1 January 31, 2019
  • Bipul Sarma
EN

SOME HIGHER ORDER DIFFERENCE DOUBLE SEQUENCE SPACES DEFINED BY AN ORLICZ FUNCTION

Abstract

In this article we introduce some kth order difference operator on some double sequences operated by an Orlicz function. We introduce some sequence spaces and study different properties of these spaces like completeness, solidity, symmetricity etc. We establish some inclusion results among them.

Keywords

References

  1. Basarir, M. and Sonalcan, O.: On some double sequence spaces; J. Indian Acad. Math. 21(2), (1999); 193-200.
  2. Bromwich T.J.IA: An Introduction to the Theory of Infinite Series; MacMillan and Co. Ltd. New york (1965).
  3. Esi, A.: Some new sequence spaces defined by Orlicz functions; Bull. Inst. Math. Acad. Sinica.; 27(1) (1999), 71-76.
  4. Esi, A. and Et, M.: Some new sequence spaces defined by a sequence of Orlicz functions; Indian J. Pure. Appl. Math.; 31(8) (2000), 967-972.
  5. Et, M.: On some new Orlicz sequence spaces; J. Analysis; 9 (2001), 21-28.
  6. Hardy G.H.: On the convergence of certain multiple series; Proc. Camb. Phil. Soc.; 19 (1917).
  7. Kamthan, P.K. and Gupta, M.: Sequence Spaces and Series: Marcel Dekker, 1980.
  8. Kizmaz, H: On certain sequence spaces; Canad. Math. Bull., 24 (1981), 169 –176.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

January 31, 2019

Submission Date

December 9, 2018

Acceptance Date

January 9, 2019

Published in Issue

Year 1970 Volume: 3 Number: 1

APA
Sarma, B. (2019). SOME HIGHER ORDER DIFFERENCE DOUBLE SEQUENCE SPACES DEFINED BY AN ORLICZ FUNCTION. Journal of Scientific Perspectives, 3(1), 21-28. https://doi.org/10.26900/jsp.3.003