Results 1 to 10 of about 137 (101)

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   +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

A Voronovskaya-type theorem

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   +5 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

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 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

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, Ayçegül Erençin   +1 more
doaj   +4 more sources

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 ERENÇİN, Ioan Rasa
exaly   +2 more sources

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, Răzvan A Mezei
exaly   +2 more sources

A Voronovskaya-Type Theorem for a General Class of Discrete Operators

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 ...
Ilaria Mantellini, Carlo Bardaro
exaly   +4 more sources