Results 31 to 40 of about 165 (152)

A discrete Stochastic Korovkin theorem

open access: yesInternational 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

Modified Kantorovich-Stancu operators (II)

open access: yes, 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

Approximation by a generalization of Szász-Mirakjan type operators

open access: yes, 2020
In the present paper we propose a new generalization of Szász - Mirakjan-type operators. We discuss their weighted convergence and rate of convergence via weighted modulus of continuity.
GUPTA, Nandita, ARIF SIDDIQUI, Mohammed
core   +1 more source

Modifying an approximation process using non-Newtonian calculus

open access: yes, 2020
In the present note we modify a linear positive Markov process of discrete type by using so called multiplicative calculus. In this framework, a convergence property and the error of approximation are established.
AGRATINI, Octavian, KARSLI, Harun
core   +1 more source

Global approximation properties of modified SMK operators

open access: yes, 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   +3 more
core   +1 more source

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

open access: yesJournal 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   +3 more
wiley   +1 more source

A new class of Bernstein-type operators obtained by iteration

open access: yes, 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   +3 more
core   +1 more source

On better approximation order for the max-product Meyer-König and Zeller operator

open access: yesDemonstratio 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

open access: yesJournal 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−Summation process in the space of locally integrable functions

open access: yes, 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

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