Results 21 to 30 of about 319 (79)

Security of image transfer and innovative results for (p,q)-Bernstein-Schurer operators

AIMS Mathematics
With the advent of quantum computing, traditional cryptography algorithms are at risk of being broken. Post-quantum encryption algorithms, developed to include mathematical challenges to make it impossible for quantum computers to solve problems, are ...
Nazmiye Gonul Bilgin , Yusuf Kaya, Melis Eren   +2 more
doaj   +2 more sources

DIRECT AND INVERSE THEOREMS FOR MULTIVARIATE BERNSTEIN-SCHURER-STANCU OPERATORS [PDF]

Miskolc Mathematical Notes, 2015
Vedi, Tuba, Özarslan, Mehmet Ali
core   +4 more sources

Approximation by α-Bernstein-Schurer-Stancu operators [PDF]

Journal of Mathematical Inequalities, 2021
The authors introduce a family of generalized Bernstein-Schurer-Stancu operators, depending on a non-negative real parameter $\alpha$. Several known sequences of positive linear operators are particular members of this family. The approximation properties of the new operators are investigated.
Çetin, Nursel, Acu, Ana-Maria
openaire   +2 more sources

On a Family of Parameter‐Based Bernstein Type Operators with Shape‐Preserving Properties

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator. Additionally, we provide a proof of the convergence rate and present a revised version of the Voronovskaja theorem specifically tailored for this newly defined ...
Bahareh Nouri, Jamshid Saeidian, Firdous A. Shah   +2 more
wiley   +1 more source

Bézier-Bernstein-Schurer type operators

General Mathematics, 2022
Abstract We define Bézier variant of the κ- Bernstein-Schurer operators and study its various approximation properties. We present a direct theorem with the help of the Ditzian-Totik modulus of continuity. The rate of approximation for absolutely functions having a derivative equivalent to a bounded variation is also obtained.
Arun Kajla, null Sahil, Priya Sehrawat
openaire   +1 more source

Approximation Properties of a New Type of Gamma Operator Defined with the Help of k‐Gamma Function

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
With the help of the k‐Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly described operator.
Gurhan Icoz, Seda Demir, Yusuf Gurefe
wiley   +1 more source

King type modification of q-Bernstein-Schurer operators [PDF]

Czechoslovak Mathematical Journal, 2013
For a King-type modification of \(q\)-Bernstein-Schurer operators, some estimations of the rate of convergence are established. A Voronovskaja-type asymptotic formula is also obtained for these operators.
Ren, Mei-Ying, Zeng, Xiao-Ming
openaire   +2 more sources

A new complex generalized Bernstein-Schurer operator [PDF]

Carpathian Journal of Mathematics, 2021
"In this paper, we consider the complex form of a new generalization of Bernstein-Schurer operators. We obtain some quantitative upper estimates for the approximation of these operators attached to analytic functions. Moreover, we prove that these operators preserve some properties of the original function such as univalence, starlikeness, convexity ...
openaire   +1 more source

Approximation by α-Bernstein-Schurer operator

Hacettepe Journal of Mathematics and Statistics, 2021
Summary: In this paper, we introduce a new family of generalized Bernstein-Schurer operators and investigate some approximation properties of these operators. We obtain a uniform approximation result using the well-known Korovkin theorem and give the degree of approximation via second modulus of smoothness.
openaire   +3 more sources

Generalized (p, q)‐Gamma‐type operators

Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In the present paper, the generalized (p, q)‐gamma‐type operators based on (p, q)‐calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K‐functional.
Wen-Tao Cheng, Qing-Bo Cai, Syed Abdul Mohiuddine   +2 more
wiley   +1 more source