Results 51 to 60 of about 1,158 (138)

(λ, ψ)-Bernstein-Kantorovich operators

Demonstratio Mathematica
In this article, we introduce a new family of (λ,ψ)\left(\lambda ,\psi )-Bernstein-Kantorovich operators which depends on a parameter λ\lambda , derived from the basis functions of Bézier curves and an integrable function ψ\psi .
Aktuğlu Hüseyin, Kara Mustafa, Baytunç Erdem, Fidan Saner   +3 more
doaj   +1 more source

Best Approximation and Moduli of Smoothness [PDF]

, 2012
2010 Mathematics Subject Classification: 41A25, 41A10.The aim of this note is to present moduli of smoothness which are introduced by different schools of approximation for characterization of the best algebraic approximation.
Dimova Zapryanova, Teodora
core  

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

Approximation properties of Kantorovich type q-Balázs-Szabados operators

Demonstratio Mathematica, 2019
In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
doaj   +1 more source

The Lower Estimate for Bernstein Operator [PDF]

, 2013
MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Gal, Sorin G., Tachev, Gancho T.
core  

Estimates for Durrmeyer-type exponential sampling series in Mellin-Orlicz spaces

Demonstratio Mathematica
This study examines Durrmeyer-type exponential sampling series to obtain a quantitative estimate by using the concept of the logarithmic modulus of smoothness defined with the help of a suitable modular functional on Mellin-Orlicz spaces.
Kangal Esma, Kantar Ülkü Dinlemez
doaj   +1 more source

Rate of pole detection using Padé approximants to polynomial expansions

Demonstratio Mathematica
Padé approximations constructed from orthogonal and Faber polynomials on some compact set EE serve as tools to detect poles of an approximated function around the set EE.
Wajasat Methawee, Bosuwan Nattapong
doaj   +1 more source

APPROXIMATING SMOOTH, MULTIVARIATE FUNCTIONS ON IRREGULAR DOMAINS

Forum of Mathematics, Sigma, 2020
In this paper, we introduce a method known as polynomial frame approximation for approximating smooth, multivariate functions defined on irregular domains in $d$ dimensions, where $d$ can be arbitrary. This method is simple, and relies only on orthogonal
BEN ADCOCK, DAAN HUYBRECHS
doaj   +1 more source

A General Approximation Approach for the Simultaneous Treatment of Integral and Discrete Operators

Advanced Nonlinear Studies, 2018
In this paper, we give a unitary approach for the simultaneous study of the convergence of discrete and integral operators described by means of a family of linear continuous functionals acting on functions defined on locally compact Hausdorff ...
Vinti Gianluca, Zampogni Luca
doaj   +1 more source

On approximation by Stancu variant of Bernstein-Durrmeyer-type operators in movable compact disks

Demonstratio Mathematica
In this study, we introduce a kind of Stancu variant of the complex Bernstein-Durrmeyer-type operators in movable compact disks. Their approximation properties for analytic functions in the movable compact disks are investigated.
Yu Danshegn, Pang Zhaojun
doaj   +1 more source