Results 51 to 60 of about 565 (106)
Dunkl analogue of Szász-mirakjan operators of blending type
Open Mathematics, 2018 In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal +2 more
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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
Approximation Properties of Ibragimov-Gadjiev-Durrmeyer Operators on Lp (ℝ+)
Demonstratio Mathematica, 2017 We deal with the approximation properties of a new class of positive linear Durrmeyer type operators which offer a reconstruction of integral type operators including well known Durrmeyer operators.
Ulusoy Gülsüm, Aral Ali
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On the approximation by Bezier-Paltanea operators based on Gould Hopper polynomials [PDF]
, 2019 In the present article, we give a Bezier variant of Paltanea operators whichinvolves Gould Hopper polynomials. First, we investigate rate of convergence by using Ditzian-Totik modulus of smoothness, weighted modulus of continuity and also for class ...
Khursheed J. Ansari +2 more
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New moduli of smoothness: weighted DT moduli revisited and applied
, 2014 We introduce new moduli of smoothness for functions $f\in L_p[-1,1]\cap C^{r-1}(-1,1)$, $1\le p\le\infty$, $r\ge1$, that have an $(r-1)$st locally absolutely continuous derivative in $(-1,1)$, and such that $\varphi^rf^{(r)}$ is in $L_p[-1,1]$, where ...
Kopotun, K. A. +2 more
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Equivalence Between K-functionals Based on Continuous Linear Transforms [PDF]
, 2007 2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.The paper presents a method of relating two K-functionals by means of a continuous linear transform of the function.
Draganov, Borislav, Ivanov, Kamen
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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
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On certain q-Baskakov-Durrmeyer operators
Le Matematiche, 2011 In this paper we introduce a q−analogue of Baskakaov-beta operators. We establish Voronovskaja-type theorem and obtain local error estimates by these q−operators in uniform norm by using the Ditzian-Totik weighted modulus of smoothness for 0 < q < ...
Asha R. Gairola +2 more
doaj
A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals [PDF]
, 2006 2000 Mathematics Subject Classification: 41A25, 41A36.The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness.
Zapryanova, T.
core
A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators
Constructive Mathematical Analysis, 2019 In this note we establish a quantitative Voronovskaja theorem for modified Bernstein polynomials using the first order Ditzian-Totik modulus of smoothness.
Z. Finta
semanticscholar +1 more source