Results 91 to 100 of about 336,700 (138)

Szász–Mirakjan type operators providing a better error estimation

, 2007
In this work, giving a modification of the well-known Szasz–Mirakjan operators, we prove that the error estimation of our operators is better than that of the classical Szasz–Mirakjan operators.
Duman, Oktay, Özarslan, M. Ali
core   +1 more source

Approximation by the new modification of Bernstein-Stancu operators

Cumhuriyet Science Journal, 2021
The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators.
Melek Sofyalıoğlu, Kadir Kanat
doaj  

Approximation Properties Variant of Baskakov–Schurer–Szász Operators Induced by Sheffer Polynomials

Mathematics
This paper introduces a new class of Baskakov–Schurer–Szász operators generated by Sheffer polynomials in a special case. We establish a Korovkin-type theorem for these operators and investigate their uniform convergence and error estimates using the ...
Naim L. Braha, Toufik Mansour
doaj   +1 more source

A Non-Commutative Voronovskaya Theorem for Quantum Neural Network Operators

We prove a complete asymptotic expansion for quantum neural network operators when they approximate arbitrary quantum channels. This is the non-commutative analogue of the classical Voronovskaya theorem. The expansion reveals that the approximation error splits into three fundamentally different parts: integer powers of \(1/n\) involving ordinary ...
Santos, Rômulo Damasclin Chaves dos, de Andrade, Delvonei Alves   +1 more
openaire   +2 more sources

Voronovskaya Like Asymptotic Expansions for Multivariate Generalized Discrete Singular Operators

, 2016
Here we give asymptotic expansions for the generalized discrete versions of unitary Picard, Gauss-Weierstrass, and Poisson-Cauchy singular operators.
Kester, Merve, Anastassiou, George A., Merve Kester, George A Anastassiou   +3 more
core   +1 more source

Summation-Integral-Phillips for a Sequence of -Bernstein Type Operators

Muthanna Journal of Pure Science
This paper introduces a new hybrid operator based on combining the Phillips concept with a sequence of lambda-Bernstein operators. This operator represents a qualitative improvement over classical Bernstein-Durrmeyer operators, which faced significant ...
abotalb Yoseif
doaj   +1 more source

Approximation properties of Kantorovich extension of Ibragimov-Gadjiev Operators

, 2005
In this paper we deal with Kantorovich extension of Ibragimov-Gadjiev Operators. We give pointwise approximation of these operators.
Aral, Ali
core  

Approximation by a new Stancu variant of generalized (λ,μ)-Bernstein operators

Alexandria Engineering Journal
The primary objective of this work is to explore various approximation properties of Stancu variant generalized (λ,μ)-Bernstein operators. Various moment estimates are analyzed, and several aspects of local direct approximation theorems are investigated.
Qing-Bo Cai, Reşat Aslan, Faruk Özger, Hari Mohan Srivastava   +3 more
doaj   +1 more source

On the generalized Mellin integral operators

Demonstratio Mathematica
In this study, we give a modification of Mellin convolution-type operators. In this way, we obtain the rate of convergence with the modulus of the continuity of the mmth-order Mellin derivative of function ff, but without the derivative of the operator ...
Topuz Cem, Ozsarac Firat, Aral Ali
doaj   +1 more source

A genuine family of Bernstein-Durrmeyer type operators based on Polya basis functions

, 2017
In this paper, we construct a genuine family of Bernstein-Durrmeyer type operators based on Polya basis functions. We establish some moment estimates and the direct results which include global approximation theorem in terms of classical modulus
P.N. Agrawal, Trapti Neer
core   +1 more source