The method of almost convergence with operator of the form fractional order and applications
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Authors
Murat Kirişci
- Department of Mathematical Education, Hasan Ali Yücel Education Faculty, Istanbul University, Vefa, 34470, Fatih, Istanbul, Turkey.
Uğur Kadak
- Department of Mathematics, Gazi University, Ankara, 06500, Turkey.
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 help us in the characterization of matrix mappings. After we characterize to the matrix transformations, we give
some examples. In this paper, the notation \(\Gamma(n)\) will be shown the Gamma function. For \(n\not\in \{0,-1,-2,...\}\), Gamma function is
defined by an improper integral \(\Gamma(n)=\int^\infty_0 e^{-t}t^{n-1}dt\) .
Share and Cite
ISRP Style
Murat Kirişci, Uğur Kadak, The method of almost convergence with operator of the form fractional order and applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 828--842
AMA Style
Kirişci Murat, Kadak Uğur, The method of almost convergence with operator of the form fractional order and applications. J. Nonlinear Sci. Appl. (2017); 10(2):828--842
Chicago/Turabian Style
Kirişci, Murat, Kadak, Uğur. "The method of almost convergence with operator of the form fractional order and applications." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 828--842
Keywords
- Gamma function
- almost convergence
- fractional order difference operator
- matrix domain
- dual spaces.
MSC
- 47A15
- 33B15
- 46A45
- 46A35
- 46B45
- 40A05
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