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.
europepmc +5 more sources
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
doaj +7 more sources
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.
europepmc +2 more sources
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
doaj +2 more sources
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.
europepmc +2 more sources
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
doaj +4 more sources
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
doaj +2 more sources
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
core +4 more sources
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
doaj +2 more sources
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
doaj +4 more sources