Results 41 to 50 of about 1,148 (144)
Local and global results for modified Sz\'{a}sz - Mirakjan operators
, 2016 In this paper, we study a natural modification of Sz\'{a}sz - Mirakjan operators. It is shown by discussing many important established results for Sz\'{a}sz - Mirakjan operators.
null null +2 more
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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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Korovkin-Type Theorems for Modular Ψ-A-Statistical Convergence
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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A Dunkl Analogue of Operators Including Two-variable Hermite polynomials
, 2017 The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G.
Aktaş, Rabia +2 more
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Some Applications of New Modified q-Integral Type Operators
International Journal of Mathematics and Mathematical Sciences, 2015 We introduce a new sequence of q-integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on unit interval.
R. P. Pathak, Shiv Kumar Sahoo
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Korovkin type approximation theorems on the disk algebra
Hokkaido Mathematical Journal, 2000 Let \(A(\Gamma)\) denote the space of complex valued functions defined on the unit circle \(\Gamma\) in \(\mathbb{C}\) which can be extended analytically in the open unit disc. A bounded linear operator \(T\) on \(A(\Gamma)\) is called a BKW-operator (in the sense of Takahasi) for the set of test functions \(S\subset A(\Gamma)\) if \((T_n)_{n\in N ...
HIRASAWA, Go +2 more
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Invariant mean and a Korovkin-type approximation theorem [PDF]
Journal of Inequalities and Applications, 2013 In this paper we apply this form of convergence to prove some Korovkin-type approximation theorem by using the test functions 1, e –x , e –2x , which generalizes the results of Boyanov and Veselinov (Bull. Math. Soc. Sci. Math. Roum. 14(62):9-13, 1970).
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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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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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On generalized Baskakov-Durrmeyer-Stancu type operators
Demonstratio Mathematica, 2017 In this paper, we study some local approximation properties of generalized Baskakov-Durrmeyer-Stancu operators. First, we establish a recurrence relation for the central moments of these operators, then we obtain a local direct result in terms of the ...
Kumar Angamuthu Sathish +2 more
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