On \(S_{\alpha }^{\beta }\left( \theta \right)\)-convergence and strong \(N_{\alpha }^{\beta }\left( \theta ,p\right)\)-summability
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Authors
Hacer Şengül
- Department of Mathematics, Siirt University 56100, Siirt, Turkey.
Abstract
In the papers [M. Et, H.Şengül, Filomat, \({\bf 28}\) (2014), 1593--1602] and [H. Şengül, M. Et, Acta Math. Sci. Ser. B Engl. Ed., \({\bf 34}\) (2014), 473--482], we
defined the spaces of \(S^{\alpha }\left( \theta \right) \)-convergent
and strongly \(N^{\alpha }\left( \theta ,p\right) \)-summable sequences. In this paper these spaces are
generalized to the space of \(S_{\alpha }^{\beta }\left( \theta \right)\)-convergent sequences and the space of strongly \(N_{\alpha }^{\beta }\left( \theta ,p\right)\)-summable sequences and are given some inclusion relationships among these spaces.
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ISRP Style
Hacer Şengül, On \(S_{\alpha }^{\beta }\left( \theta \right)\)-convergence and strong \(N_{\alpha }^{\beta }\left( \theta ,p\right)\)-summability, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 5108--5115
AMA Style
Şengül Hacer, On \(S_{\alpha }^{\beta }\left( \theta \right)\)-convergence and strong \(N_{\alpha }^{\beta }\left( \theta ,p\right)\)-summability. J. Nonlinear Sci. Appl. (2017); 10(9):5108--5115
Chicago/Turabian Style
Şengül, Hacer. "On \(S_{\alpha }^{\beta }\left( \theta \right)\)-convergence and strong \(N_{\alpha }^{\beta }\left( \theta ,p\right)\)-summability." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 5108--5115
Keywords
- Lacunary sequence
- statistical convergence
- Cesàro summability
MSC
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