Results 51 to 60 of about 173,280,044 (84)

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

open access: yesMathematics
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

Quantitative estimates for the Lupaş q-analogue of the Bernstein operator

open access: yes, 2011
We establish quantitative results for the approximation properties of the q-analogue of the Bernstein operator defined by Lupaş in 1987 and for the approximation properties of the limit Lupaş operator introduced by Ostrovska in 2006, via Ditzian-Totik ...
Zoltán Finta
core   +1 more source

Approximation by Durrmeyer-type operators [PDF]

open access: yes, 1996
We define a new kind of Durrmeyer-type summation-integral operators and study a global direct theorem for these operators in terms of the Ditzian-Totik modulus of ...
Gupta, Vijay, Srivastava, G.
core  

Construction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λ [PDF]

open access: yes, 2019
We construct Stancu-type Bernstein operators based on Bézier bases with shape parameter λ ∈ [ − 1 , 1 ] and calculate their moments.
Hari M. Srivastava   +5 more
core   +1 more source

\(L^{p}\)-approximation \((p \geq 1)\) by Stancu-Kantorovich polynomials

open access: yesJournal of Numerical Analysis and Approximation Theory, 2002
We establish direct and converse estimates for a generalized Kantorovich polynomial operator depending on a positive parameter.
Zoltán Finta
doaj   +2 more sources

Pointwise simultaneous approximation by combinations of Bernstein operators

open access: yes, 2005
We prove in the present paper some new direct and inverse results on pointwise simultaneous approximation by combinations of Bernstein operators by using ωϕλ2r(f,t), where ωϕλ2r(f,t) is the Ditzian–Totik modulus of smoothness.
Xie, Linsen
core   +1 more source

The Lower Estimate for Bernstein Operator [PDF]

open access: yes, 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 ...
Tachev, Gancho T., Gal, Sorin G.
core  

Pointwise Estimate for Linear Combinations of Bernstein–Kantorovich Operators

open access: yes, 2002
For linear combinations of Bernstein–Kantorovich operators Kn,r(f,x), we give an equivalent theorem with ω2rϕλ(f,t).
Guo, Shunsheng, Liu, Lixia, Qi, Qiulan
core   +1 more source

Approximation of functions by genuine Bernstein-Durrmeyer type operators

open access: yes, 2018
Very recently, in {[}4] Chen et. al introduced and considered a new generalization of Bernstein polynomials depending on a patameter alpha. As classical Bernstein operators, these operators also provide interpolation at the end points of {[}0,1] and they
Acar, Tuncer   +6 more
core   +1 more source

On one problem for comonotone approximation

open access: yes, 2005
Доведено, що для комонотонного наближення аналог другої нерівності Джексона з узагальненим модулем неперервності Діціана - Тотіка ωᵠₖ,ᵣ при (k,r)=(2,2) є хибним навіть зі сталою, залежною від функції.For a comonotone approximation, we prove that an ...
Петрова, Т.О.   +1 more
core   +1 more source

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