Results 71 to 80 of about 156 (109)

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

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

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

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

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   +2 more sources

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

A Bézier variant of ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu operators

Journal of Inequalities and Applications
This paper mainly introduces ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu-Bézier operators that are a natural continuation of Stancu-type ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich operators constructed by Q.-B. Cai et al.
Xiu-Liang Qiu, Murat Bodur, Qing-Bo Cai
doaj   +1 more source

The Voronovskaya theorem for some linear positive operators of functions of two variables

, 1996
Summary: We give the Voronovskaya theorem for some operators \(L_{m,n}^{\{i\}}\) of the Szász-Mirakyan type defined for functions of two variables belonging to polynomial or exponential weighted spaces. Some approximation properties of these operators for functions of one variable are given in the references.
Rempulska, L., Skorupka, M.
openaire   +2 more sources