In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double sequences are compared under some certain assumptions. Finally, as an application, we prove Korovkin type approximation theorem for a function of two variables by using the notion of αβ−statistical convergence.
αβ-statistical convergence Double sequences Korovkin type theorem Lacunary statistical convergence λ-statistical convergence Statistical convergence
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | December 26, 2019 |
Submission Date | November 28, 2019 |
Acceptance Date | December 22, 2019 |
Published in Issue | Year 2019 |
Journal of Mathematical Sciences and Modelling
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