Analogues of some fundamental theorems of summability theory.

Patterson, Richard F.

Displaying similar documents to “Analogues of some fundamental theorems of summability theory.”

Double sequence core theorems.

Patterson, Richard F. (1999)

International Journal of Mathematics and Mathematical Sciences

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Characterization of $P$ -core and absolute equivalence of double sequences.

Furkan, Hasan, Çakan, Celal (2010)

Journal of Inequalities and Applications [electronic only]

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A class of conservative four-dimensional matrices.

Çakan, Celal, Altay, Bilal (2006)

Journal of Inequalities and Applications [electronic only]

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Matrix transformation between series and sequences.

Tripathy, B.C. (1998)

Bulletin of the Malaysian Mathematical Society. Second Series

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Matrix characterization of oscillation for double sequences

Richard Patterson, Jeff Connor, Jeannette Kline (2008)

Open Mathematics

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The notion of oscillation for ordinary sequences was presented by Hurwitz in 1930. Using this notion Agnew and Hurwitz presented regular matrix characterization of the resulting sequence space. The primary goal of this article is to extend this definition to double sequences, which grants us the following definition: the double oscillation of a double sequence of real or complex number is given P-lim sup(m,n)→∞;(α,β)→∞|S m,n-S α,β|. Using this concept a matrix characterization of double...

On some topological properties of generalized difference sequence spaces.

Et, Mikail (2000)

International Journal of Mathematics and Mathematical Sciences

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The $T$ -statistically convergent sequences are not an $F K$ -space.

Kline, Jeannette (1995)

International Journal of Mathematics and Mathematical Sciences

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$λ$ -rearrangements characterization of Pringsheim limit points.

Patterson, Richard F. (2007)

International Journal of Mathematics and Mathematical Sciences

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Double Sequence Spaces Definedby a Sequence of Modulus Functions over $n$ -normed Spaces

Sunil K. Sharma, Ayhan Esi (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In the present paper we introduce some double sequence spaces defined by a sequence of modulus function $F = (f_{k, l})$ over $n$ -normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces.