Results 1 to 10 of about 474 (129)
A Voronovskaya-type theorem [PDF]
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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Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials. [PDF]
J Inequal Appl, 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 ...
Neer T, Agrawal PN.
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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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Statistical Korovkin and Voronovskaya type theorem for the Cesaro 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. In the last section, we prove the kind of Voronovskaya type theorem and give some concluding remarks related to the obtained results.
Naim L. Braha, Valdete Loku
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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 Voronovskaya type theorem for q-Szász-Mirakyan-Kantorovich operators
Journal of Numerical Analysis and Approximation Theory, 2011 In this work, we consider a Kantorovich type generalization of \(q\)-Szász-Mirakyan operators via Riemann type \(q\)-integral and prove a Voronovskaya type theorem by using suitable machinery of \(q\)-calculus.
Gülen Başcanbaz-Tunca +1 more
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Genuine modified Bernstein-Durrmeyer operators. [PDF]
J Inequal Appl, 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 ...
Mohiuddine SA, Acar T, Alghamdi MA.
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A Voronovskaya-Type Theorem for a General Class of Discrete Operators [PDF]
Rocky Mountain Journal of Mathematics, 2009 A general class of discrete, not necessarily positive operators is studied that acts on functions defined on an interval of the real line and has the form \[ (S_nf)(t)=\sum _{k=0}^\infty K_n(t,\nu_{n,k})f(\nu_{n,k}),\quad n\in\mathbb N,\;t\in I, \] where \(I\) is a fixed interval (bounded or not) in \(\mathbb R\) and, for every \(n\in\mathbb N ...
BARDARO, Carlo, MANTELLINI, Ilaria
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Quantitative Voronovskaya-Type Theorems for Fejér-Korovkin Operators
Constructive Mathematical Analysis, 2020 In recent times quantitative Voronovskaya type theorems have been presented in spaces of non-periodic continuous functions. In this work we proved similar results but for Fejér-Korovkin trigonometric operators. That is we measure the rate of convergence in the associated Voronovskaya type theotem.
Jorge Bustamante +1 more
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On [Formula: see text]-Szász-Mirakyan operators and their approximation properties. [PDF]
J Inequal Appl, 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.
Mursaleen M, Al-Abied A, Alotaibi A.
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