Results 1 to 10 of about 29,140 (128)

Iterates of a modified Bernstein type operator

Journal of Numerical Analysis and Approximation Theory, 2019
Using the weakly Picard operators technique and the contraction principle, we study the convergence of the iterates of some modified Bernstein type operators.
Teodora Catinas
doaj   +10 more sources

On simultaneous approximation for some modified Bernstein-type operators

International Journal of Mathematics and Mathematical Sciences, 2004
We study the simultaneous approximation for a certain variant of Bernstein-type operators.
Vijay Gupta, Nurhayat Ispir
doaj   +4 more sources

Modified Bernstein–Durrmeyer Type Operators

Mathematics, 2022
We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
doaj   +2 more sources

Results on Bivariate Modified (p, q)-Bernstein Type Operators

Gazi University Journal of Science, 2023
Here, we construct a modification of the (𝑝,𝑞)-Bernstein operators for the two-dimensional case. We study some important properties of these new operators. We estimate the rate of convergence of these operators using modulus of continuity then we give these estimation for functions belonging to class 𝐿𝑖𝑝𝑀(𝛼1,𝛼2).
Nazmiye GÖNÜL BİLGİN, Melis EREN
openaire   +4 more sources

Genuine modified Bernstein-Durrmeyer operators. [PDF]

J Inequal Appl, 2018
The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre K$\mathcal{K}$-functional and corresponding modulus of smoothness, quantitative Voronovskaya ...
Mohiuddine SA, Acar T, Alghamdi MA.
europepmc   +3 more sources

On the approximation of several modified Bernstein-type operators

Filomat
In this paper, we first propose a new class of modified Bernstein Durrmeyer operators, which are independent of one endpoint value of any continuous function. We investigate their approximation rate, and obtain Voronovaskaja?s asymptotic estimation.
Yuxuan Chen, Yi Zhao, Xu Wang
openaire   +2 more sources

On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers

Journal of Numerical Analysis and Approximation Theory, 2022
In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal, Dharmendra Kumar, Behar Baxhaku   +2 more
doaj   +2 more sources

Approximation Properties of the Blending-Type Bernstein–Durrmeyer Operators

Axioms, 2022
We construct the blending-type modified Bernstein–Durrmeyer operators and investigate their approximation properties. First, we derive the Voronovskaya-type asymptotic theorem for this type of operator.
Yu-Jie Liu, Wen-Tao Cheng, Wen-Hui Zhang, Pei-Xin Ye   +3 more
doaj   +2 more sources

Modified Operators Interpolating at Endpoints

Mathematics, 2021
Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions.
Ana Maria Acu, Ioan Raşa, Rekha Srivastava   +2 more
doaj   +1 more source

Better degree of approximation by modified Bernstein-Durrmeyer type operators

Mathematical Foundations of Computing, 2022
In the present article we investigate a Durrmeyer variant of the generalized Bernstein-operators based on a function \begin{document}$ \tau(x), $\end{document} where \begin{document}$ \tau $\end{document} is infinitely differentiable function on \begin ...
P. Agrawal, S. Güngör, Abhishek Kumar
semanticscholar   +1 more source