Results 31 to 40 of about 218 (81)

Approximation by q-analogue of modified Jakimovski-Leviatan-Stancu type operators

Demonstratio Mathematica, 2017
In this paper, we introduce the q-analogue of the Jakimovski-Leviatan type modified operators introduced by Atakut with the help of the q-Appell polynomials.We obtain some approximation results via the well-known Korovkin’s theorem for these operators.We
Mursaleen Mohammad, Nasiruzzaman Mohammad, Wafi Abdul   +2 more
doaj   +1 more source

Operator version of Korovkin Theorem; Degree of Convergence and its Applications

, 2022
In a recent article, Dumitru Popa proved an operator version of the Korovkin theorem. We recall the quantitative version of the Korovkin theorem obtained by O. Shisha and B. Mond in 1968.
Kumar, V. B. Kiran, Vinaya, P. C.
core   +1 more source

A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials

Abstract and Applied Analysis, 2012
We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem.
Fatma Taşdelen, Rabia Aktaş, Abdullah Altın   +2 more
doaj   +1 more source

(p,q)-Generalization of Szasz-Mirakyan Operators

, 2015
In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4.
Acar, Tuncer
core   +1 more source

Approximation by the modified λ-Bernstein-polynomial in terms of basis function

AIMS Mathematics
In this article by means of shifted knots properties, we introduce a new type of coupled Bernstein operators for Bézier basis functions. First, we construct the operators based on shifted knots properties of Bézier basis functions then investigate the ...
Mohammad Ayman-Mursaleen, Md. Nasiruzzaman , Nadeem Rao, Mohammad Dilshad , Kottakkaran Sooppy Nisar   +4 more
doaj   +1 more source

Approximation of functions of two variables by certain linear positive operators

, 2007
We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables.
Bascanbaz-Tunca, Gulen, Olgun, Ali, Tasdelen, Fatma   +2 more
core   +1 more source

Korovkin Type Theorem for Sequences of Operators Depending on a Parameter

Demonstratio Mathematica, 2015
We establish necessary and sufficient conditions for a parameter depending sequence (Ln,λ)n≥1 of positive linear operators such that (Ln,λ)n≥1 converges in the strong operator topology to its limit operator.
Finta Zoltán
doaj   +1 more source

Simultaneous approximation by neural network operators with applications to Voronovskaja formulas

Mathematische Nachrichten, Volume 298, Issue 3, Page 871-885, March 2025.
Abstract In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well‐known neural network (NN) operators activated by the sigmoidal function. Other than a uniform convergence theorem for the derivatives of NN operators, we also provide a quantitative estimate for the order of ...
Marco Cantarini, Danilo Costarelli
wiley   +1 more source

ψ‐Bernstein–Kantorovich operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 1124-1141, 15 January 2025.
In this article, we introduce a modified class of Bernstein–Kantorovich operators depending on an integrable function ψα$$ {\psi}_{\alpha } $$ and investigate their approximation properties. By choosing an appropriate function ψα$$ {\psi}_{\alpha } $$, the order of approximation of our operators to a function f$$ f $$ is at least as good as the ...
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç   +2 more
wiley   +1 more source

A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian, Bahareh Nouri, Aram Azizi, Saeid Abbasbandy   +3 more
wiley   +1 more source