Results 21 to 30 of about 516 (72)

On the Durrmeyer variant of q-Bernstein operators based on the shape parameter λ

open access: yesJournal of Inequalities and Applications, 2023
In this work, we consider several approximation properties of a Durrmeyer variant of q-Bernstein operators based on Bézier basis with the shape parameter λ ∈ [ − 1 , 1 ] $\lambda \in[ -1,1]$ .
Lian-Ta Su   +3 more
doaj   +1 more source

Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators

open access: yesAdvances in Difference Equations, 2020
We construct the bivariate form of Bernstein–Schurer operators based on parameter α. We establish the Voronovskaja-type theorem and give an estimate of the order of approximation with the help of Peetre’s K-functional of our newly defined operators ...
S. A. Mohiuddine
doaj   +1 more source

Approximation Theorem for New Modification of q-Bernstein Operators on (0,1)

open access: yesJournal of Function Spaces, 2021
In this work, we extend the works of F. Usta and construct new modified q-Bernstein operators using the second central moment of the q-Bernstein operators defined by G. M. Phillips.
Yun-Shun Wu   +3 more
doaj   +1 more source

Flat solutions of the 1-Laplacian equation [PDF]

open access: yes, 2017
For every $f \in L^N(\Omega)$ defined in an open bounded subset $\Omega$ of $\mathbb{R}^N$, we prove that a solution $u \in W_0^{1, 1}(\Omega)$ of the $1$-Laplacian equation ${-}\mathrm{div}{(\frac{\nabla u}{|\nabla u|})} = f$ in $\Omega$ satisfies ...
Orsina, Luigi, Ponce, Augusto C.
core   +3 more sources

Approximation by bivariate Chlodowsky type Szász–Durrmeyer operators and associated GBS operators on weighted spaces

open access: yesJournal of Inequalities and Applications, 2022
In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the Lipschitz type ...
Reşat Aslan, M. Mursaleen
doaj   +1 more source

Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval

open access: yesJournal of Function Spaces, 2021
In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
doaj   +1 more source

A new kind of variant of the Kantorovich type modification operators introduced by D. D. Stancu

open access: yesResults in Applied Mathematics, 2021
In the present article we investigate a variant of the Kantorovich type modification defined by Kajla (2018) i.e. we introduce a function ζ(ϰ)in the operators defined by Kajla (2018) s.t.
Abhishek Kumar
doaj   +1 more source

Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus

open access: yesJournal of Inequalities and Applications, 2019
The main purpose of this paper is to introduce a generalized class of Dunkl type Szász operators via post quantum calculus on the interval [12,∞) $[ \frac{1}{2},\infty )$.
Abdullah Alotaibi
doaj   +1 more source

A Dunkl Analogue of Operators Including Two-variable Hermite polynomials

open access: yes, 2017
The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G.
Aktaş, Rabia   +2 more
core   +1 more source

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

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

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