Results 51 to 60 of about 336,700 (138)

Quantitative Estimates For Jain-Kantorovich Operators [PDF]

, 2016
By using given arbitrary sequences,property that limn 1nn 0and limn 1 n 0, we give a Kantorovichtype generalization of Jain operator based on the a Poisson disrtibition. Fristlywe give the quantitative Voronovskaya type theorem.
Deniz, Emre
core   +1 more source

A new construction of Lupaş operators and its approximation properties

Advances in Difference Equations, 2021
The aim of this paper is to study a new generalization of Lupaş-type operators whose construction depends on a real-valued function ρ by using two sequences u m $u_{m} $ and v m $v_{m}$ of functions.
Mohd Qasim, Asif Khan, Zaheer Abbas, Qing-Bo Cai   +3 more
doaj   +1 more source

Approximation of Real Functions by a Generalization of Ismail–May Operator

Mathematics, 2022
In this paper, we generalize a sequence of positive linear operators introduced by Ismail and May and we study some of their approximation properties for different classes of continuous functions. First, we estimate the error of approximation in terms of
Adrian Holhoş
doaj   +1 more source

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

Convergence of Generalized Lupaş-Durrmeyer Operators

Mathematics, 2020
The main aim of this paper is to establish summation-integral type generalized Lupaş operators with weights of Beta basis functions which depends on μ having some properties.
Mohd Qasim, Mohammad Mursaleen, Asif Khan, Zaheer Abbas   +3 more
doaj   +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

( p , q ) $(p,q)$ -Generalization of Szász–Mirakjan operators and their approximation properties

Journal of Inequalities and Applications, 2020
We introduce a new modification of ( p , q ) $(p,q)$ -analogue of Szász–Mirakjan operators. Firstly, we give a recurrence relation for the moments of ( p , q ) $(p,q)$ -analogue of Szász–Mirakjan operators and present some explicit formulae for the ...
Mustafa Kara, Nazim I. Mahmudov
doaj   +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