Results 101 to 110 of about 336,700 (138)

Stancu-variant of generalized Baskakov operators

, 2017
In the present paper, we introduce Stancu-variant of generalized Baskakov operators and study the rate of convergence using modulus of continuity, order of approximation for the derivative of function f .
Abdul Wafi, Nadeem Rao
core   +1 more source

Weighted Approximation by Szász–Mirakyan-Type Operators Preserving Two Exponential Functions

Mathematics
In this paper, we study the weighted approximation properties of a family of Szász–Mirakyan-type operators preserving two exponential functions on the unbounded interval [0,∞).
Gülsüm Ulusoy Ada, Ali Aral
doaj   +1 more source

Symmetrized Neural Network Operators in Fractional Calculus: Caputo Derivatives, Asymptotic Analysis, and the Voronovskaya–Santos–Sales Theorem

Axioms
This work presents a comprehensive mathematical framework for symmetrized neural network operators operating under the paradigm of fractional calculus. By introducing a perturbed hyperbolic tangent activation, we construct a family of localized, symmetric, and positive kernel-like densities, which form the analytical backbone for three classes of ...
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales, Gislan Silveira Santos   +2 more
openaire   +3 more sources

Approximation properties of modified Stancu beta operators

Journal of Numerical Analysis and Approximation Theory, 2006
In this paper we give approximation theorems for modified Stancu beta operators of differentiable functions. The Stancu beta operators were examined in [8, 1, 2, 5] and other papers.
L. Rempulska, M. Skorupka
doaj   +2 more sources

Statistical Relative Equal Convergence Of Double Function Sequences And Korovkin-Type Approximation Theorem

, 2019
In this work, we introduce our new concept of the statistical equal convergence for double function sequences. Later, we introduce the concept of statistical relative equal convergence of double function sequences which is stronger than the notion of ...
Sahin, Pinar Okcu, Dirik, Fadime
core  

A generalization of Phillips operators by using the Appell polynomials of class A ( 2 ) $A^{(2)}$

Journal of Inequalities and Applications
The current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of A ( 2 ) $A^{(2)}$ class Appell polynomials.
Melek Sofyalıoğlu Aksoy
doaj   +1 more source

Approximation of functions by a new class of Gamma type operators; theory and applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The study of the linear methods of approximation, which are given by sequences of positive and linear operators, studied extremely, in relation to different subjects of analysis, such as numerical analysis.
Özçelik Reyhan, Kara Emrah Evren, Usta Fuat   +2 more
doaj   +1 more source

Generalized Szász-Mirakian Type Operators

In this paper, we are proposing certain modifications of Szász-Mirakian type operators and study their approximation properties. We also give a Voronovskaya type theorem for these operators.
GUPTA, Nandita, AGRAWAL, Raksha Rani
core   +1 more source

A Quantum Voronovskaya Theorem: Asymptotic Expansions for Quantum Neural Network Operators

We prove the Quantum Voronovskaya--Damasclin Theorem, establishing the first complete asymptotic expansion for Quantum Neural Network Operators (QNNOs) when approximating arbitrary quantum channels. This result generalizes the classical Voronovskaya theorem for Bernstein polynomials to the non‑commutative, multi‑dimensional setting of quantum ...
openaire   +2 more sources

Asymptotic Expansions for Quantum Neural Network Operators: A Non-Commutative Voronovskaya Theorem

We establish a complete asymptotic expansion for Quantum Neural Network Operators (QNNOs) approximating arbitrary quantum channels, providing a non-commutative analogue of the classical Voronovskaya theorem. Within a rigorous functional analytic framework, we introduce quantum Sobolev and Hölder spaces Cm,γ(H) based on Fréchet differentiability in the ...
openaire   +1 more source