Results 31 to 40 of about 248 (176)

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

Global approximation properties of modified SMK operators

, 2010
In this paper, introducing a general modification of the classical Sz?sz-Mirakjan-Kantorovich (SMK) operators, we study their global approximation behavior. Some special cases are also presented. 2010 Mathematics Subject Classifications. 41A25, 41A36. .
Duman, Oktay, Özarslan, M. Ali, Oktay Duman, Ali Özarslan   +3 more
core   +1 more source

Strong inequalities for the iterated Boolean sums of Bernstein operators: Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.

, 2022
In this paper we investigate the approximation properties for the iterated Boolean sums of Bernstein operators. The approximation behaviour of those operators is presented by the so-called strong inequalities. Moreover, such strong inequalities are valid
ZHOU, Xinlong, CHENG, Li
core   +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

On the order of approximation by modified summation-integral-type operators based on two parameters

Demonstratio Mathematica, 2023
In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul, Singh Karunesh Kumar, Alotaibi Abdullah   +2 more
doaj   +1 more source

A Study on Affine Invariance in ψ‐Modified Szász‐Kantorovich Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose and analyze a modified class of ‐ψ Szász–Mirakjan–Kantorovich operators that preserve affine functions. The proposed modified‐ψ Szász–Mirakjan–Kantorovich operators exhibit superior approximation properties compared to both the classical ψ Szász–Mirakjan–Kantorovich operators and the previously defined ‐ψ Szász–Mirakjan ...
Hüseyin Aktuğlu, Mustafa Kara, Smritijit Sen   +2 more
wiley   +1 more source

Approximation by max-product operators of Kantorovich type: Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.

, 2019
We associate to various linear Kantorovich type approximation operators, nonlinear max-product operators for which we obtain quantitative approximation results in the uniform norm, shape preserving properties and localization results. Mathematics Subject
COROIANU, Lucian, GAL, Sorin G.
core   +1 more source

Modifikasi metode iterasi berorde tiga dengan orde konvergensi optimal

Majalah Ilmiah Matematika dan Statistika, 2023
Weerakoon-Fernando’s and Homeier’s methods are a third-order iterative method to solve nonlinear equations. A new third-order iterative method is constructed by sum of Weerakoon-Fernandon’s and Homeier’s method. This paper discusses the modification of
Annisa Agustina, Wartono Wartono
doaj   +1 more source