Results 1 to 10 of about 659,087 (137)

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

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 Cesáro 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
N. Braha, Valdete Loku
semanticscholar   +9 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   +5 more sources

The Voronovskaya theorem for some linear positive operators in exponential weight spaces [PDF]

Publicacions Matemàtiques, 1997
In this note we give the Voronovskaya theorem for some linear positive operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0, +∞) and having the exponential growth at infinity. Some approximation properties of these operators are given in [3], [4].
L. Rempulska, M. Skorupka
semanticscholar   +14 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   +7 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   +4 more sources

A Voronovskaya Theorem for Variation-Diminishing Spline Approximation [PDF]

Canadian Journal of Mathematics, 1986
In [7] Schoenberg introduced the following variation-diminishing spline approximation methods.Let m > 1 be an integer and let Δ = {xi} be a biinfinite sequence of real numbers with xi ≧ xi + l < xi+m. To a function f associate the spline function Vf of order m with knots Δ defined by(1.1)whereand the Nj(x) are B-splines with support xj < x <
M. Marsden
semanticscholar   +3 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   +7 more sources

VORONOVSKAYA-TYPE THEOREM FOR POSITIVE LINEAR OPERATORS BASED ON LAGRANGE INTERPOLATION

Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application, 2023
Since the classical asymptotic theorems of Voronovskaya-type for positive and linear operators are in fact based on the Taylor’s formula which is a very particular case of Lagrange-Hermite interpolation for­mula, in the recent paper Gal [3], I have ...
S. Galt
semanticscholar   +3 more sources

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 ...
C. Bardaro, I. Mantellini
semanticscholar   +5 more sources