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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2011 / Volume: 60 Issue: 2

and ON SOME NEW DOUBLE SEQUENCE SPACES OF INVARIANT MEANS DEFINED BY ORLICZ FUNCTIONS and VAKEEL A. KHAN AND SABIHA TABASSUM

A. Khan Vakeel
Sabiha Tabassum
Pages
—
Publication Date
2011-08-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper we extend BVa to 2BVa(p; r; s) and study some properties and inclusion relations on this space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The sequence space BVm was introduced and studied by Mursaleen[14].
📊
Key Findings & Data:The sequence space BVm was introduced and studied by Mursaleen[14].
💡
Conclusion & Impact:In this paper we extend BVa to 2BVa(p; r; s) and study some properties and inclusion relations on this space.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Invariant means · double sequence spaces · Orlicz Function

Abstract

The sequence space BVm was introduced and studied by Mursaleen[14]. In this paper we extend BVa to 2BVa(p; r; s) and study some properties and inclusion relations on this space.

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Cite This Article

Vakeel, A. K., Tabassum, S. (2011). and ON SOME NEW DOUBLE SEQUENCE SPACES OF INVARIANT MEANS DEFINED BY ORLICZ FUNCTIONS and VAKEEL A. KHAN AND SABIHA TABASSUM. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 60 Issue: 2. https://doi.org/10.1501/Commua1_0000000672

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References (20)

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  2. Khan V.A. On a new sequence spaces de…ned by Musielak Orlicz Functions. Studia Math.,, LV-2, 143-149. Khan V.A. Quasi almost convergence in a normed space for double sequences. Thai J.Math.,, 8(1), 227-231. Khan V.A. On a new sequence space de…ned by Orlicz Functions. Commun. Fac. Sci. Univ. Ank. Series Al, 2008, 57(2), 25-33.
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  14. E-mail address: [email protected], [email protected], URL: http://communications.science.ankara.edu.tr
  15. Ahmad Z.U.and Mursaleen M. An application of banach limits. Proc. Amer. Math. Soc.,,103, 244-246. Çacan C.,Altay and Mursaeen. The Math. Lett., 2006,19, 1122-1128. convergence and core of doube sequences. Appl.
  16. Khan V.A. On a new sequence spaces de…ned by Musielak Orlicz Functions. Studia Math.,, LV-2, 143-149. Khan V.A. Quasi almost convergence in a normed space for double sequences. Thai J.Math.,, 8(1), 227-231. Khan V.A. On a new sequence space de…ned by Orlicz Functions. Commun. Fac. Sci. Univ. Ank. Series Al, 2008, 57(2), 25-33.
  17. Mursaleen M. Matrix transformation between some new sequence spaces. Houston J.Math.,, 9, 505-509. Mursaleen M. On some new invariant matrix methods of summability. Quart.J. Math. Oxford, 1983, 34(2), 77-86.
  18. Raimi R.A. Invariant means and invariant matrix method of summmability. Duke Math. J.,,30, 81-94. Savas E. and Patterson R.F. Some double sequence spaces de…ned and its applications. J.Mathematical Analysis and its Applications, 2006, 324(1), 525-531.
  19. Wilansky A. Summability through functional analysis. North-Holland Mathematical Studies,, 85. Current address: Department of Mathematics, A.M.U. Aligarh-202002 INDIA
  20. E-mail address: [email protected], [email protected], URL: http://communications.science.ankara.edu.tr