Results 21 to 30 of about 151 (150)

A new class of Bernstein-type operators obtained by iteration

, 2023
A new class of Bernstein-type operators are obtained by applying an iterative method of modifications starting from the Bernstein operators. These operators have good properties of approximation of functions and of their derivatives.
Radu Paltanea, PĂLTĂNEA, Radu, SMUC, Mihaela, Mihaela Smuc   +3 more
core   +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

A−Summation process in the space of locally integrable functions

, 2020
In this paper, using the concept of summation process, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from Lp,q (loc) , the space of locally integrable functions, into itself.
ORHAN, Cihan, ȘAHIN BAYRAM, Nilay
core   +1 more source

Wavelets-Associated Approximation to the Family of New Class of q-Szász Operators Via q-Analog

Journal of Function Spaces
MSC2020 Classification: Primary 41A25, 41A36; Secondary 33C45.
Md. Nasiruzzaman, Amel Souhail, Adel Alatawi, M. Mursaleen   +3 more
doaj   +1 more source

Weighted Korovkin‐Type Theorem and Some Properties of Szász–Mirakjan Operators Preserving Exponential Functions via Power Series Statistical Convergence

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we establish a weighted Korovkin‐type approximation theorem within the framework of power series statistical convergence and provide a systematic extension of classical Korovkin theory to weighted function spaces. Furthermore, we investigate the approximation properties of the Szász–Mirakjan operators preserving exponential functions ...
Dilek Söylemez, Feras Yousef
wiley   +1 more source

Modified Kantorovich-Stancu operators (II)

, 2019
In this paper, we introduce a new kind of Bernstein-Kantorovich- Stancu operators. These operators generalize the operators introduced in the paper [2] by V. Gupta, G. Tachev and A.M. Acu.
OPRIȘ, Adonia-Augustina, GAVREA, Ioan
core   +1 more source

Sharp inequalities for the rates of convergence of the iterates of some operators which preserve the constants

, 2021
In this paper we give estimates for the rates of convergence for the iterates of some positive linear operators which preserve only the constants. We obtain sharp inequalities when we use both continuous functions and differen- tiable functions.
BIROU, Marius Mihai
core   +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

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

Strong Converse Result for Baskakov Operator [PDF]

, 2014
[Gadjev Ivan; Гаджев Иван]2010 Mathematics Subject Classification: 41A36, 41A25, 41A27 ...
Gadjev, Ivan
core