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A Note on Operator Version of Korovkin Theorem

Results in Mathematics
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Arunkumar C S, Dumitru Popa
semanticscholar   +3 more sources

On a version of the Korovkin theorem

Filomat
In this article, some of the main results of the paper ?An abstract version of the Korovkin theorem via A-summation proces? [2] are re-stated and proved. A Korovkin type theorem is given on a compact Hausdorff space.
Nihan Uygun, Hijaz Ahmad
semanticscholar   +1 more source

Statistical Harmonic Summability of Fuzzy Fractional Difference Sequences and Associated Korovkin-Type Theorem

Mathematical sciences and applications e-notes
In the present paper, we introduce the concepts of $\Delta^{f,b,a}$--harmonic summability, $\Delta^{f,b,a}$--statistical harmonic summability and $\Delta^{f,b,a}$--logarithmic statistical convergence of sequences of fuzzy numbers, where $\Delta^{f,b,a ...
Funda Babaarslan
semanticscholar   +1 more source

Korovkin Type Theorem for Modified Bernstein Operators via A-Statistical Convergence and Power Summability Method

Mathematical sciences and applications e-notes
In this study, we investigate the approximation properties of modified Bernstein operators through the lens of A-statistical convergence and power summability methods.
Tuğba Değirmenci, Merve İlkhan Kara
semanticscholar   +1 more source

Applications of equi-statistical convergence and Korovkin-type theorem

Acta Universitatis Sapientiae: Mathematica
The paper aims to introduce and investigate equi-statistical convergence, pointwise statistical convergence and uniform statistical convergence for a sequence of real-valued functions via deferred N¨orlund and deferred Euler statistical convergence ...
Swati Jasrotia   +2 more
semanticscholar   +1 more source

Statistical Riemann and Lebesgue integrability by deferred Cesàro and deferred Nörlund mean and Korovkin’s theorem

Journal of Applied Analysis
The current work focuses on statistical Riemann summability, statistical Riemann integrability, statistical Lebesgue summability, and statistical Lebesgue integrability using Deferred Cesàro and Deferred Nörlund means. First, we explore key theorems that
Sanjeev Verma   +3 more
semanticscholar   +1 more source

An operator version of the Korovkin theorem for continuous periodic functions

Journal of Mathematical Analysis and Applications, 2023
Dumitru Popa
semanticscholar   +1 more source

An operator version of the Korovkin theorem

Journal of Mathematical Analysis and Applications, 2022
Dumitru Popa
semanticscholar   +1 more source

Ideal $e\mbox{-}$Convergence of Double Sequences and A Korovkin-type Approximation Theorem

Sarajevo Journal of Mathematics
In the present paper, we introduce the concept of ideal $e$-convergence of double sequences and prove some fundamental properties. Next, we define the concepts of ideal $e$-limit superior and inferior for double sequences.
Y. Sever, Ö. Talo
semanticscholar   +1 more source

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