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Dergiler / 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
Sayfa
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Yayın Tarihi
2011-08-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The sequence space BVm was introduced and studied by Mursaleen[14].
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Temel Bulgular & Veri:The sequence space BVm was introduced and studied by Mursaleen[14].
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Sonuç & Katkı:In this paper we extend BVa to 2BVa(p; r; s) and study some properties and inclusion relations on this space.
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (20)

  1. 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.
  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.
  3. Khan V.A. On a new sequence space related to the Orlicz sequence space. J. Mathematics and its applications, 2008, 30, 61-69.
  4. Khan V.A. On Riesz-Musielak Orlicz sequence spaces. Numerical Functional Analysis and Optimization, 2007, 28(7-8), 883-895.
  5. Khan V.A. and Lohani Q.M.D. Statistically Pre-Cauchy sequence and Orlicz Functions. Southeast Asian Bull.Math.,2007, 31, 1107-1112.
  6. Lindenstrauss J. and Tza…ri L. On Orlicz Sequence Spaces. Israel J.Math., 1971, 10, 379-390.
  7. Lorentz G.G. A contribution to the theory of divergent series. Acta Math., 1948,80, 167-190.
  8. Moricz F. and Rhoades B.E. Almost Convergence of double sequences and strong regularity of summability matrices. Math.Proc.Camb.Phil.Soc., 1987, 104, 283-294.
  9. Mursaleen M. and Mohiuddine S.A. Some new double sequences of invariant-means. Glasnik Mathemtiµcki, 2010, 45(65), 139-153.
  10. 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.
  11. 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.
  12. Schfer P. In…nite matrices and invariant means. Proc. Amer. Math. Soc., 1972, 36, 104-110.
  13. Wilansky A. Summability through functional analysis. North-Holland Mathematical Studies,, 85. Current address: Department of Mathematics, A.M.U. Aligarh-202002 INDIA
  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