Results 21 to 30 of about 146 (128)

On the degree of approximation by Gauss Weierstrass integrals

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 9, Page 645-649, 2000., 2000
We obtain the degree of approximation of functions belonging to class Lip(ψ(u, v); p), p > 1 using the Gauss Weierstrass integral of the double Fourier series of f(x, y).
Huzoor H. Khan, Govind Ram
wiley   +1 more source

On better approximation order for the max-product Meyer-König and Zeller operator

Demonstratio Mathematica
Bede et al. (B. Bede, L. Coroianu, and S. G. Gal, Approximation and shape preserving properties of the nonlinear Meyer-König and Zeller operator of max-product kind, Numer. Funct. Anal. Optim. 31 (2010), no.
Çit Sezin, Doğru Ogün
doaj   +1 more source

Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi, Mehmet Zeki Sarıkaya, Rubayyi T. Alqahtani, Gopi Prasad   +3 more
wiley   +1 more source

Moment computation in shift invariant spaces

International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 465-479, 1998., 1997
An algorithm is given for the computation of moments of f ∈ S, where S is either a principal h‐shift invariant space or S is a finitely generated h‐shift invariant space. An error estimate for the rate of convergence of our scheme is also presented. In so doing, we obtain a result for computing inner products in these spaces.
David A. Eubanks, Patrick J. van Fleet, Jianzhong Wang   +2 more
wiley   +1 more source

A Computational Analysis of Error Bounds for Novel α‐Baskakov–Kantorovich Operators and Graphical Representation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study introduces a novel family of hybrid Kantorovich‐type operators for the Baskakov–Schurer–Stancu class, integrated with a shape parameter α ∈ [0, 1]. We establish fundamental estimates and evaluate both the rate of convergence and the order of approximation utilizing the Korovkin theorem and the modulus of smoothness.
Md. Nasiruzzaman, Nadeem Rao, Amel Souhail, Fahad Maqbul Alamrani, M. Mursaleen, Smritijit Sen   +5 more
wiley   +1 more source

A generalization of Hermite interpolation

International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 719-725, 1997., 1996
We introduce a new interpolation at Chebyshev nodes.
Xie-Hua Sun, Tingfan Xie
wiley   +1 more source

Statistical approximation properties of λ-Bernstein operators based on q-integers

Open Mathematics, 2019
In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of ...
Cai Qing-Bo, Zhou Guorong, Li Junjie
doaj   +1 more source

Bivariate Maximum Product–Type Favard–Szasz–Mirakyan and Meyer–König–Zeller Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the present paper, we set up the structure of the bivariate maximum product (max‐product)–type of Meyer–König and Zeller operators and Favard–Szasz–Mirakyan operators corresponding to the linear univariate counterparts. Then, we provide an error estimation for these bivariate max‐product type operators in terms of the modulus of continuity.
Sevilay Kırcı Serenbay, Ecem Acar, Smritijit Sen   +2 more
wiley   +1 more source

On approximation of functions and their derivatives by quasi‐Hermite interpolation

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 279-286, 1996., 1994
In this paper, we consider the simultaneous approximation of the derivatives of the functions by the corresponding derivatives of quasi‐Hermite interpolation based on the zeros of (1 − x2)pn(x) (where pn(x)is a Legendre polynomial). The corresponding approximation degrees are given. It is shown that this matrix of nodes is almost optimal.
G. Min
wiley   +1 more source

Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces

Demonstratio Mathematica
In the present work, we establish a quantitative estimate for the perturbed sampling Kantorovich operators in Orlicz spaces, in terms of the modulus of smoothness, defined by means of its modular functional.
Costarelli Danilo, De Angelis Eleonora, Vinti Gianluca   +2 more
doaj   +1 more source