Results 31 to 40 of about 7,339,945 (133)

Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties

Journal of Inequalities and Applications, 2023
In this paper, we construct the Chlodowsky-type Szász operators defined via Boas–Buck-type polynomials. We prove some approximation properties and obtain the rate of the convergence for these operators.
Naim L. Braha, Valdete Loku, M. Mursaleen   +2 more
doaj   +1 more source

Convergence properties of generalized Lupaş-Kantorovich operators

Karpatsʹkì Matematičnì Publìkacìï, 2021
In the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$.
M. Qasim, A. Khan, Z. Abbas, M. Mursaleen   +3 more
doaj   +1 more source

Certain approximation properties of Brenke polynomials using Jakimovski–Leviatan operators

Journal of Inequalities and Applications, 2021
In this article, we establish the approximation by Durrmeyer type Jakimovski–Leviatan operators involving the Brenke type polynomials. The positive linear operators are constructed for the Brenke polynomials, and thus approximation properties for these ...
Shahid Ahmad Wani, M. Mursaleen, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

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 ...
BARDARO, Carlo, MANTELLINI, Ilaria
openaire   +3 more sources

A Voronovskaya-type formula for SMK operators via statistical convergence [PDF]

, 2011
Duman, Oktay/0000-0001-7779-6877;In this paper, we obtain a statistical Voronovskaya-type theorem for the Szasz-Mirakjan-Kantorovich (SMK) operators by using the notion of A-statistical convergence, where A is a non-negative regular summability ...
Duman, Oktay, Ali Aral, Oktay Duman, Aral, Ali   +3 more
core   +1 more source

The q‐Chlodowsky and q‐Szasz‐Durrmeyer Hybrid Operators on Weighted Spaces

Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020
The main aim of this article is to introduce a new type of q‐Chlodowsky and q‐Szasz‐Durrmeyer hybrid operators on weighted spaces. To this end, we give approximation properties of the modified new q‐Hybrid operators. Moreover, in the weighted spaces, we examine the rate of convergence of the modified new q‐Hybrid operators by means of moduli of ...
Harun Çiçek, Aydın İzgi, Mehdi Ghatee   +2 more
wiley   +1 more source

POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS

Proceedings of the Karelian Research Centre of the Russian Academy of Sciences, 2015
The general approach to Voronovskaya theorems about the rate of convergence of linear operators sequence to the functions of some classes is considered. These theorems are proved with the help of a functional which in many concrete situations may have a differential structure.
Yury Abakumov, Victor Banin
openaire   +3 more sources

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

, 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.
L. Rempulska, Rempulska, L., M. Skorupka, Skorupka, M.   +3 more
core   +1 more source

Quantitative Voronovskaya- and Grüss–Voronovskaya-type theorems by the blending variant of Szász operators including Brenke-type polynomials

TURKISH JOURNAL OF MATHEMATICS, 2018
Summary: The present paper aims to investigate a class of linear positive operators by combining Szász-Jain operators and Brenke polynomials and studies their approximation properties. We also prove quantitative Voronovskaya-type results and establish Grüss-Voronovskaja-type theorem.
Purshottam Narain AGRAWAL, Behar BAXHAKU, Ruchi CHAUHAN   +2 more
openaire   +2 more sources

On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers

Journal of Numerical Analysis and Approximation Theory, 2022
In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal, Dharmendra Kumar, Behar Baxhaku   +2 more
doaj   +1 more source