Results 11 to 20 of about 7,340,674 (138)
Journal of Function SpacesIn this article, we establish a weighted Korovkin-type approximation theorem within the framework of power series statistical convergence and provide a systematic extension of classical Korovkin theory to weighted function spaces.
Dilek Söylemez
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A Korovkin Type Approximation Theorem and Its Applications [PDF]
Abstract and Applied Analysis, 2014 We present a Korovkin type approximation theorem for a sequence of positive linear operators defined on the space of all real valued continuous and periodic functions via A-statistical approximation, for the rate of the third order Ditzian-Totik modulus ...
Malik Saad Al-Muhja
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Korovkin-Type Theorems for Modular Ψ-A-Statistical Convergence [PDF]
Journal of Function Spaces, 2015 We deal with a new type of statistical convergence for double sequences, called Ψ-A-statistical convergence, and we prove a Korovkin-type approximation theorem with respect to this type of convergence in modular spaces.
Carlo Bardaro +4 more
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Relative Alpha Convergence and Its Applications in Approximation Theory
Journal of MathematicsIn this paper, we introduce refined notions related to convergence for sequences of functions. These include relative alpha convergence and relative continuity at a point with respect to a scale function, as localized and strict parametric variants of ...
Alper Erdem, Sevda Yıldız
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KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES [PDF]
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In the present paper, we obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators.
Sevda Yıldız
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On Various Modes of Convergence and Notions of Exhaustiveness With Korovkin-Type Theorems
Journal of MathematicsIn this paper, we introduce refined notions related to convergence and exhaustiveness for sequences of functions defined between metric spaces. These include rigid uniform alpha convergence as a strengthened variant of alpha convergence, along with ...
Alper Erdem, Tuncay Tunç
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A Korovkin-type theorem for set-valued Hausdorff continuous functions
Le Matematiche, 1987 In this paper, we give a generalization of a Korovkin-type theorem for set-valued Hausdorff continuous functions (cf. [1] and [2]), by means of upper and lower envelopes.
Michele Campiti
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Acta Scientiarum: Technology, 2015 The concept of statistical summability (C, 1) has recently been introduced by Moricz (2002). In this paper, we use this notion of summability to prove the Korovkin type approximation theorem for functions of two variables. Finally we construct an example
Mohammad Mursaleen +1 more
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Fuzzy Korovkin type Theorems via deferred Cesaro and deferred Euler equi-statistical convergence
Journal of Numerical Analysis and Approximation Theory, 2023 We establish a fuzzy Korovkin type approximation theorem by using \(eq-stat^{D}_{CE}\)(deferred Ces\'{a}ro and deferred Euler equi-statistical) convergence proposed by Saini et al. for continuous functions over \([a,b]\).
Purshottam Agrawal, Behar Baxhaku
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Convergence of λ-Bernstein operators based on (p, q)-integers
Journal of Inequalities and Applications, 2020 In the present paper, we construct a new class of positive linear λ-Bernstein operators based on (p, q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception of K-functional ...
Qing-Bo Cai, Wen-Tao Cheng
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