The Method of almost convergence with operator of the form fractional order and applications

2016/02/12 by Murat Kirisci, Kirisci, Murat, Ugur Kadak +1 · 2 citations
Mathematics · #33B15 #40A05 #46A35 #46A45 #46B45 #47A15 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:33B15 #msc:40A05 #msc:46A35 #msc:46A45 #msc:46B45 #msc:47A15

paper · pdf · doi:10.48550/arxiv.1602.04103

20 pages, 4 tables

arxiv created 2016/02/12 · arxiv updated 2016/10/04

Abstract

The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character. Thus, the current knowledge about those concepts are presented. Second, we construct the almost convergent spaces with fractional order difference operator and compute dual spaces which are help us in the characterization of matrix mappings. After we characterize to the matrix transformations, we give some examples.

Cited by

• Hilbert Matrix and Difference Operator of Order m
• The Application Domain of Infinite Matrices on Classical Sequence Spaces

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