Results 11 to 20 of about 156 (109)

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

Journal 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

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

Journal 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, Toufik Mansour, Mohammad Mursaleen   +2 more
doaj   +2 more sources

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

Journal 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

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

Rate of Approximation for Modified Lupaş-Jain-Beta Operators

Journal of Function Spaces, 2020
The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1.
M. Qasim, Asif Khan, Zaheer Abbas, Princess Raina, Qing-Bo Cai   +4 more
doaj   +2 more sources

On the Rate of Convergence and the Voronovskaya Theorem for the Poisson Integrals for Hermite and Laguerre Expansions

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
exaly   +3 more sources

A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials

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, Bayram Çekim, Fatma Taşdelen   +2 more
doaj   +2 more sources

Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators

Journal of Mathematics
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation ...
Md. Nasiruzzaman, Rubayyi T. Alqahtani, S. A. Mohiuddine   +2 more
doaj   +2 more sources

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
doaj   +1 more source

Semi‐discrete operators in multivariate setting: Convergence properties and applications

Mathematical Methods in the Applied Sciences, Volume 46, Issue 9, Page 11058-11079, June 2023., 2023
In this paper, we study the convergence properties of certain semi‐discrete exponential‐type sampling series in a multidimensional frame. In particular, we obtain an asymptotic formula of Voronovskaya type, which gives a precise order of approximation in the space of continuous functions, and we give some particular example illustrating the theory ...
Carlo Bardaro, Noemi Broccatelli, Ilaria Mantellini, Marco Seracini   +3 more
wiley   +1 more source