Results 1 to 10 of about 448 (115)

Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials. [PDF]

open access: yesJ 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   +7 more sources

A Voronovskaya-type theorem [PDF]

open access: yesJournal 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]

open access: yesJ 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

Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval

open access: yesJournal of Function Spaces, 2021
In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
doaj   +2 more sources

A Voronovskaya-type theorem for a positive linear operator [PDF]

open access: yesInternational 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]

open access: yesJ 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

Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method

open access: yesJournal of Function Spaces, 2020
In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method.
Naim Latif Braha   +2 more
doaj   +2 more sources

A Voronovskaya-type theorem for the second derivative of the Bernstein–Chlodovsky polynomials; pp. 9–19 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2012
This paper is devoted to a Voronovskaya-type theorem for the second derivative of the Bernstein–Chlodovsky polynomials. This type of theorem was considered for the Bernstein–Chlodovsky polynomials by Jerzy Albrycht and Jerzy Radecki in 1960 and by ...
Harun Karsli
doaj   +2 more sources

Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function

open access: yesJournal of Function Spaces, 2022
With the help of the k-Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly ...
Gurhan Icoz, Seda Demir
doaj   +2 more sources

A Voronovskaya type theorem for q-Szász-Mirakyan-Kantorovich operators

open access: yesJournal 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

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