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• W2908018714 startingPage "1181" @default.
• W2908018714 abstract "The idea of statistical relative convergence on modular spaces has been introduced by Orhan and Demirci. The notion of σ-statistical convergence was introduced by Mursaleen and Edely and further extended based on a fractional order difference operator by Kadak. The concern of this paper is to define two new summability methods for double sequences by combining the concepts of statistical relative convergence and σ-statistical convergence in modular spaces. Furthermore, we give some inclusion relations involving the newly proposed methods and present an illustrative example to show that our methods are nontrivial generalizations of the existing results in the literature. We also prove a Korovkin-type approximation theorem and estimate the rate of convergence by means of the modulus of continuity. Finally, using the bivariate type of Stancu-Schurer-Kantorovich operators, we display an example such that our approximation results are more powerful than the classical, statistical, and relative modular cases of Korovkin-type approximation theorems." @default.
• W2908018714 created "2019-01-11" @default.
• W2908018714 creator A5030809156 @default.
• W2908018714 date "2018-08-18" @default.
• W2908018714 modified "2023-10-15" @default.
• W2908018714 title "Weighted Statistical Relative Invariant Mean in Modular Function Spaces with Related approximation Results" @default.
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• W2908018714 doi "https://doi.org/10.1080/01630563.2018.1470096" @default.
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