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Document Type |
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Article In Journal |
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Document Title |
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Tauberian theorems for statistically convergent double sequences Tauberian theorems for statistically convergent double sequences |
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Subject |
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Mathematics |
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Document Language |
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English |
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Abstract |
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In [F. Moricz, Tauberian theorems for Cesàro summable double sequences, Studia Math. 110 (1994) 83-96], Moricz has proved some Tauberian theorems for Cesàro summable double sequences and deduced the Tauberian theorems of Landau [E. Landau, Über die Bedeutung einiger neuerer Grenzwertsätze der Herren Hardy and Axer, Prac. Mat.-Fiz. 21 (1910) 97-177] and Hardy [G.H. Hardy, Divergent Series, Univ. Press, Oxford 1956] type. In [J.A. Fridy, M.K. Khan, Statistical extension of some classical Tauberian theorems, Proc. Amer. Math. Soc. 128 (2000) 2347-2355], Fridy and Khan have given statistical extensions of some classical Tauberian theorems. The concept of statistical convergence for double sequences has recently been introduced by Mursaleen and Edely [M. Mursaleen, Osama H. H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl. 288 (2003) 223-231] and by Moricz [F. Moricz, Statistical convergence of multiple sequences, Arch. Math. 81 (2003) 82-89] independently. In this paper we give some Tauberian theorems for statistically convergent double sequences. We have also provided some examples including an example to Problem 1 of Moricz [F. Moricz, Tauberian theorems for Cesàro summable double sequences, Studia Math. 110 (1994) 83-96]. |
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ISSN |
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0020-0255 |
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Journal Name |
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Information Sciences |
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Volume |
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176 |
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Issue Number |
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7 |
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Publishing Year |
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1427 AH
2006 AD |
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Article Type |
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Article |
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Added Date |
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Tuesday, December 27, 2011 |
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Researchers
| Osama H.H Edely | Edely, Osama H.H | Researcher | Doctorate | osamaedely@yahoo.com |
| محمد مرسلين | Mursaleen, Mohammad | Researcher | Doctorate | mursaleenm@gmail.com |
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