Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we establish a link between the Szász-Durrmeyer type operators and multiple Appell polynomials. We study a quantitative-Voronovskaya type theorem in terms of weighted modulus of smoothness using sixth order central moment and Grüss ...
Trapti Neer, Purshottam Narain Agrawal
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Genuine modified Bernstein–Durrmeyer operators [PDF]
Journal of Inequalities and Applications, 2018 The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre K $\mathcal{K}$-functional and corresponding modulus of smoothness, quantitative Voronovskaya ...
Syed Abdul Mohiuddine +2 more
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Journal of Numerical Analysis and Approximation Theory, 2001 We give an asymptotic estimation for some sequences of divided differences. We use this estimation to obtain a Voronovskaya-type formula involving linear positive operators.
Mircea Ivan, Ioan Raşa
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A Voronovskaya-type theorem for a positive linear operator [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We consider a sequence of positive linear operators which approximates continuous functions having exponential growth at infinity.
Alexandra Ciupa
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On ( p , q ) $(p,q)$ -Szász-Mirakyan operators and their approximation properties [PDF]
Journal of Inequalities and Applications, 2017 In the present paper, we introduce a new modification of Szász-Mirakyan operators based on ( p , q ) $(p, q)$ -integers and investigate their approximation properties. We obtain weighted approximation and Voronovskaya-type theorem for new operators.
M Mursaleen +2 more
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On ( p , q ) $(p,q)$ -analogue of two parametric Stancu-Beta operators [PDF]
Journal of Inequalities and Applications, 2016 Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem.
Mohammad Mursaleen +2 more
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The Voronovskaya theorem for some linear positive operators in exponential weight spaces [PDF]
Publicacions Matemàtiques, 1997 In this note we give the Voronovskaya theorem for some linear positive operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0, +∞) and having the exponential growth at infinity.
Rempulska, L., Skorupka, M.
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A Voronovskaya-type theorem for the second derivative of the Bernstein–Chlodovsky polynomials; pp. 9–19 [PDF]
Proceedings of the Estonian Academy of Sciences, 2012 This paper is devoted to a Voronovskaya-type theorem for the second derivative of the BernsteinâChlodovsky polynomials. This type of theorem was considered for the BernsteinâChlodovsky polynomials by Jerzy Albrycht and Jerzy Radecki in 1960 and by ...
Harun Karsli
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A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials [PDF]
Journal of Function Spaces and Applications, 2013 We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators.
Rabia Aktaş +2 more
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Statistical Korovkin and Voronovskaya type theorem for the Ces´aro second-order operator of fuzzy numbers [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2020 In this paper we define the Ces´aro second-order summability method for fuzzy numbers and prove Korovkin type theorem, then as the application of it, we prove the rate of convergence.
BRAHA, Naim L., LOKU, Valdete
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