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2010 INVARIANT MEAN AND SOME CORE THEOREMS FOR DOUBLE SEQUENCES
M. Mursaleen, S. A. Mohiuddine
Taiwanese J. Math. 14(1): 21-33 (2010). DOI: 10.11650/twjm/1500405725

Abstract

In this paper we define and characterize the class $(V_{2}^{\sigma},V_{2}^{\sigma})$ and establish a core theorem, where $V_{2}^{\sigma}$ is the space of $\sigma$-convergent double sequences $x = (x_{jk})$. We further determine a Tauberian condition for core inclusion and core equivalence.

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M. Mursaleen. S. A. Mohiuddine. "INVARIANT MEAN AND SOME CORE THEOREMS FOR DOUBLE SEQUENCES." Taiwanese J. Math. 14 (1) 21 - 33, 2010. https://doi.org/10.11650/twjm/1500405725

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1209.40003
MathSciNet: MR2603440
Digital Object Identifier: 10.11650/twjm/1500405725

Subjects:
Primary: 40C05 , 40H05

Keywords: $\sigma$-convergence , $\sigma$-core , $p$-convergence , core theorems , double sequences , invariant mean

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 1 • 2010
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