Results 1 to 10 of about 336,700 (138)
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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A Voronovskaya type theorem for q-Szász-Mirakyan-Kantorovich operators [PDF]
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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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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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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The Voronovskaya theorem for some operators of the Szasz-Mirakjan type
Le Matematiche, 1995 We give the Voronovskaya theorem for some operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+infinity) and having the polynomial grouth at infinity. Some approximation properties of these operators are given in [2],
Lucina Rempulska, Mariola Skorupka
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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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Voronovskaya Type Theorems in Weighted Spaces
Numerical Functional Analysis and Optimization, 2016 In this article, we introduce a generalization of Gamma operators based on a function ρ having some properties and prove quantitative Voronovskaya and quantitative Gruss type Voronovskaya theorems ...
Aysegul Erençin, Ioan Rasa
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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.
Lázaro Flores de Jesús +1 more
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A Voronovskaya Type Theorem for Poisson–Cauchy Type Singular Operators
Journal of Mathematical Analysis and Applications, 2010 The paper deals with the study of approximation properties of smooth Poisson-Cauchy type singular integral operators over the real line. A Voronovskaya type asymptotic formula is also established.
George Anastassiou +1 more
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Journal of Approximation Theory, 2002 Let \(L^{(\alpha)}_n\) denote the \(n\)th Laguerre polynomial with parameter \(\alpha> -1\). The authors study properties of the Poisson integral \(A(f)\) defined for \(p\geq 1\) and \(f\in L^p([0,\infty), \omega_\alpha)\) by \[ A(f)(r, x):= \int^\infty_0 K_\alpha(r, x,y) f(y) \omega_\alpha(y) dy\qquad (0< \tau< 1, x> 0), \] where \(\omega_\alpha(y)= y^
Grazyna Toczek, Eugeniusz Wachnicki
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