A category theorem for double sequences

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Oct 2011 Turkey English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 24, pages 1,680-1,684 (issn: 0893-9659,

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Authors: Patterson, Richard F.; Savas, Ekrem;

doi: 10.1016/j.aml.2011.04.017

handle: 11467/3613

A category theorem for double sequences

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Abstract

AbstractThe goal of this paper is to present the following multidimensional category theorem for double sequences via four-dimensional matrix transformations. The set of second category double subsequences of the double sequence (sk,l) is summable by a four-dimensional RH-regular matrix A=(am,n,k,l) if and only if (sk,l) is P-convergent. This theorem is established using multidimensional sliding hump constructions for bounded and unbounded doubles sequences.

Country

Turkey

Related Organizations

University of Florida
United States
University of North Florida
United States
Istanbul Commerce University
Turkey

Keywords

P-divergent, Applied Mathematics, Subsequences of a double sequences, P-convergent, RH-regular, Divergent double sequences, Pringsheim limit point

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