Results 31 to 40 of about 158 (155)

A discrete Stochastic Korovkin theorem

International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 679-682, 1991., 1989
In this article we give a sufficient condition for the pointwise −− in the first mean Korovkin property on B0(P), the space of stochastic processes with real state space and countable index set Γ and bounded first moments.
George A. Anastassiou
wiley   +1 more source

Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi, Mehmet Zeki Sarıkaya, Rubayyi T. Alqahtani, Gopi Prasad   +3 more
wiley   +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

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

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

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

Korovkin type approximation for double sequences via statistical A-summation process on modular spaces [PDF]

, 2018
n this work, we introduce the Korovkin type approximation theorems on modular spaces via statistical A-summation process for double sequences of positive linear operators and we construct an example satisfying our new approximation theorem but does not ...
Burçak Kolay, Sevda Orhan, KOLAY, Burçak, ORHAN, Sevda   +3 more
core   +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

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

Error Estimation for Shifted q‐Szász–Kantorovich Operators and Their Numerical Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a novel class of q‐Szász–Mirakjan–Kantorovich operators defined with shifted sequences. Utilizing the basic principles of q‐calculus, we design the King‐type fundamental construction of q‐Szász–Mirakjan–Kantorovich operators and derive their moments and central moments.
Md. Nasiruzzaman, Esmail Alshaban, Fahad Maqbul Alamrani, Adel Alatawi, M. Mursaleen, Smritijit Sen   +5 more
wiley   +1 more source