Results 51 to 60 of about 173,280,044 (84)
Approximation Properties Variant of Baskakov–Schurer–Szász Operators Induced by Sheffer Polynomials
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
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Quantitative estimates for the Lupaş q-analogue of the Bernstein operator
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
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Approximation by Durrmeyer-type operators [PDF]
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]
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
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\(L^{p}\)-approximation \((p \geq 1)\) by Stancu-Kantorovich polynomials
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
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
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The Lower Estimate for Bernstein Operator [PDF]
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
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
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Approximation of functions by genuine Bernstein-Durrmeyer type operators
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
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On one problem for comonotone approximation
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
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