What question did this study set out to answer?

The aim is to explore statistical convergence concepts for sequences of functions of two variables and introduce a new Korovkin-type theorem.

February 14, 2026FilomatOpen Access

A new class of Korovkin-type approximation theorems based on equi-statistical convergence of double sequences

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Authors

ASAbhisek SatapathyPt. Jawahar Lal Nehru Memorial Medical College BJBidu Bhusan JenaSri Sri University SPSusanta Kumar PaikrayVeer Surendra Sai University of Technology

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Implication

This article demonstrates equi-statistical convergence of double sequences of functions, indicating potential for effective mathematical approximations.

Key Points

The aim is to explore statistical convergence concepts for sequences of functions of two variables and introduce a new Korovkin-type theorem.
Explored point-wise, equi-statistical, and uniform statistical convergence.
Used the deferred power-series method.
Introduced a Korovkin-type theorem for positive linear operators.
Illustrated convergence behavior using MATLAB software.
Demonstrated inclusion relationships among various types of statistical convergence.
Showed effective convergence behavior of the Meyer-König and Zeller operator.
Provided estimations of equi-statistical convergence rates.

Cite This Study

Satapathy et al. (2025) studied this question.

synapsesocial.com/papers/699010ce2ccff479cfe570d3 https://doi.org/10.2298/fil2518453s

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Implication

This article demonstrates equi-statistical convergence of double sequences of functions, indicating potential for effective mathematical approximations.

A new class of Korovkin-type approximation theorems based on equi-statistical convergence of double sequences

Discussion

Member takes

Implication

Key Points

Cite This Study

A new class of Korovkin-type approximation theorems based on equi-statistical convergence of double sequences

Discussion

Member takes

Implication

Key Points

Cite This Study

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