Results 51 to 60 of about 6,839,663 (111)

Voronovskaya‐type theorems for Urysohn type nonlinear Bernstein operators

Mathematical Methods in the Applied Sciences, 2018
The concern of this paper is to continue the investigation of convergence properties of nonlinear approximation operators, which are defined by Karsli. In details, the paper centers around Urysohn‐type nonlinear counterpart of the Bernstein operators.
openaire   +2 more sources

Error Estimation for Shifted q‐Szász–Kantorovich Operators and Their Numerical Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a novel class of q‐Szász–Mirakjan–Kantorovich operators defined with shifted sequences. Utilizing the basic principles of q‐calculus, we design the King‐type fundamental construction of q‐Szász–Mirakjan–Kantorovich operators and derive their moments and central moments.
Md. Nasiruzzaman, Esmail Alshaban, Fahad Maqbul Alamrani, Adel Alatawi, M. Mursaleen, Smritijit Sen   +5 more
wiley   +1 more source

Approximation by Genuine q‐Bernstein‐Durrmeyer Polynomials in Compact Disks in the Case q > 1

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
This paper deals with approximating properties of the newly defined q‐generalization of the genuine Bernstein‐Durrmeyer polynomials in the case q > 1, which are no longer positive linear operators on C[0,1]. Quantitative estimates of the convergence, the Voronovskaja‐type theorem, and saturation of convergence for complex genuine q‐Bernstein‐Durrmeyer ...
Nazim I. Mahmudov, Sofiya Ostrovska
wiley   +1 more source

Approximation by ψ‐Baskakov‐Kantorovich Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13552-13562, 30 September 2025.
ABSTRACT In this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function ψ$$ \psi $$. We compare these new ψ$$ \psi $$‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç   +2 more
wiley   +1 more source

On Approximation by Algebraic Version of the Trigonometric Jackson Integrals Gs,n in Weighted Integral Metric

Journal of Operators, Volume 2013, Issue 1, 2013., 2013
We characterize the errors of the algebraic version of trigonometric Jackson integrals Gs,n in weighted integral metric. We prove direct and strong converse theorem in terms of the weighted K‐functional.
Teodora Zapryanova, Hagen Neidhardt
wiley   +1 more source

q‐Szász‐Mirakyan‐Kantorovich Operators of Functions of Two Variables in Polynomial Weighted Spaces

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
The present paper deals with approximation properties of q‐Szász‐Mirakyan‐Kantorovich operators. We construct new bivariate generalization by qR‐integral and these operators′ approximation properties in polynomial weighted spaces are investigated. Also, we obtain Voronovskaya‐type theorem for the proposed operators in polynomial weighted spaces of ...
Mediha Örkcü, Sergei V. Pereverzyev
wiley   +1 more source

Approximation by q‐Post‐Widder Operators Based on a New Parameter

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented.
Qiu Lin, Rosanna Manzo
wiley   +1 more source

Better Approximation Properties by New Modified Baskakov Operators

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators.
Ahmed F. Jabbar, Amal K. Hassan, Mehmet Ünver   +2 more
wiley   +1 more source

Abstract Weyl-type theorems [PDF]

, 2016
summary:In this paper, we give a new approach to the study of Weyl-type theorems. Precisely, we introduce the concepts of spectral valued and spectral partitioning functions.
Berkani, Mohammed
core   +1 more source

Voronovskaya type asymptotic expansions for perturbed neural network operators

, 2015
Here are studied further perturbed normalized neural network operators of Cardaliaguet-Euvrard type. We derive univariate and multivariate Voronovskaya type asymptotic expansions for the error of approximation of these operators to the unit ...
Anastassiou, George A.
core   +1 more source