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arXiv · 1907.13596

Almost absolute weighted summability with index k

Mehmet Ali Sarıgöl·Mohammad Mursaleen
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Abstract

The space $\widehat{\ell }_k$ of absolutely almost convergent series was introduced and studied by Das et al [4]; which plays an important role in summability theory, approximation theory, Fourier analysis, etc. In the present paper we generalize the space making use of some factors and weighted mean transformations, investigate its topological structures and relations between classical sequence spaces. Also we characterize certain matrix operators on it.

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Mehmet Ali Sarıgöl, Mohammad Mursaleen. 2019-07-20. Almost absolute weighted summability with index k. https://arxiv.org/abs/1907.13596

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