Results 51 to 60 of about 7,340,674 (138)
Korovkin Second Theorem via -Statistical -Summability
Abstract and Applied Analysis, 2013 Korovkin type approximation theorems are useful tools to check whether a given sequence of positive linear operators on of all continuous functions on the real interval is an approximation process.
M. Mursaleen, A. Kiliçman
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Journal of Function Spaces, 2020 We define the notions of weighted λ,μ-statistical convergence of order γ1,γ2 and strongly weighted λ,μ-summability of γ1,γ2 for fuzzy double sequences, where ...
Abdullah Alotaibi
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study introduces a novel family of hybrid Kantorovich‐type operators for the Baskakov–Schurer–Stancu class, integrated with a shape parameter α ∈ [0, 1]. We establish fundamental estimates and evaluate both the rate of convergence and the order of approximation utilizing the Korovkin theorem and the modulus of smoothness.
Md. Nasiruzzaman +5 more
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I_2-Relative uniform convergence and Korovkin type approximation [PDF]
, 2021 In the present paper, an interesting type of convergence named ideal relative uniform convergence for double sequences of functions has been introduced for the first time. Then, the Korovkin type approximation theorem via this new type of convergence has
Yıldız, Sevda +2 more
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Проблемы анализа, 2022 The present work focuses on the statistical Euler summability, Euler statistical convergence, and Euler summability of sequences of fuzzy real numbers via the generalized fractional difference operator.
Kuldip Raj, Kavita Saini, M. Mursaleen
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On a New Family of Szász‐Type Operators Associated With U‐Charlier–Poisson Polynomials
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates an operator constructed with Charlier–Poisson polynomials and analyzes its approximation behavior. We establish results on the convergence of the operator and study its rate of approximation by employing the modulus of continuity.
Nisanur Sezer +3 more
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Statistical Deferred Weighted Riemann Summability and Fuzzy Approximation Theorems [PDF]
Sahand Communications in Mathematical AnalysisThe notion of statistical convergence has fascinated many researchers due mainly to the fact that it is more general than the well-established hypothesis of ordinary (classical) convergence.
Priyadarsini Parida +2 more
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Bivariate Maximum Product–Type Favard–Szasz–Mirakyan and Meyer–König–Zeller Operators
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the present paper, we set up the structure of the bivariate maximum product (max‐product)–type of Meyer–König and Zeller operators and Favard–Szasz–Mirakyan operators corresponding to the linear univariate counterparts. Then, we provide an error estimation for these bivariate max‐product type operators in terms of the modulus of continuity.
Sevilay Kırcı Serenbay +2 more
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Korovkin Type Theorem for Sequences of Operators Depending on a Parameter
Demonstratio Mathematica, 2015 We establish necessary and sufficient conditions for a parameter depending sequence (Ln,λ)n≥1 of positive linear operators such that (Ln,λ)n≥1 converges in the strong operator topology to its limit operator.
Finta Zoltán
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Bézier Form of Quantum λ‐Bernstein–Schurer Operators With Associated Approximation Properties
Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce a Bézier form of Schurer‐type modification of the quantum λ‐Bernstein operators, extending the classical Schurer operators through the Bézier basis with shape parameter −1 ≤ λ ≤ 1. By applying Korovkin’s theorem, we obtain both global and local approximation results.
Jabr Aljedani +3 more
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