Results 31 to 40 of about 173,280,044 (84)
The Characterization of the Derivatives for Linear Combinations of Post–Widder Operators inLp
, 1999 The aim of the paper is to characterize the global rate of approximation of derivativesf(l)through corresponding derivatives of linear combinations of Post–Widder operators in an appropriate weightedLp-metric using a weighted Ditzian and Totik modulus of
Li, Song, Wang, Ren Tai
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Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights
Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 Using the modulus of smoothness, directional derivatives of multivariate Bernstein operators with weights are characterized. The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights.
Jianjun Wang +4 more
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, 2020 In the present paper, the Bezier variant of Jakimovski-Leviatan-Peltenea operators involving Sheffer polynomials is introduced and the degree of approximation by these operators is investigated with the aid of Ditzian-Totik modulus of smoothness ...
KUMAR, Ajay, AGRAWAL, P.
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Approximation and Orthogonality on Fully Symmetric Domains
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We study orthogonal polynomials on a fully symmetric planar domain Ω$\Omega$ that is generated by a certain triangle in the first quadrant. For a family of weight functions on Ω$\Omega$, we show that orthogonal polynomials that are even in the second variable on Ω$\Omega$ can be identified with orthogonal polynomials on the unit disk composed ...
Yuan Xu
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Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 Using the equivalence relation between K‐functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein‐Durrmeyer operators with Jacobi weights on a simplex in this paper. We also obtain a characterization for multivariate Bernstein‐Durrmeyer operators with Jacobi weights on a ...
Jianjun Wang +3 more
wiley +1 more source
Wavelets‐Associated Approximation to the Family of New Class of q‐Szász Operators Via q‐Analog
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This study investigates the approximation properties of a recently developed class of q‐Szász–Mirakjan operators integrated with wavelets. By constructing these q‐Szász‐type operators and introducing their Kantorovich variants, we establish Lp‐approximation results for 1 ≤ p ≤ ∞.
Md. Nasiruzzaman +4 more
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Approximation and Shape Preserving Properties of the Bernstein Operator of Max‐Product Kind
International Journal of Mathematics and Mathematical Sciences, Volume 2009, Issue 1, 2009., 2009 Starting from the study of the Shepard nonlinear operator of max-prod type by Bede et al. (2006, 2008), in the book by Gal (2008), Open Problem 5.5.4, pages 324–326, the Bernstein max-prod-type operator is introduced and the question of the approximation order by this operator is raised.
Barnabás Bede +3 more
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Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi +3 more
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Simultaneous approximation for the Phillips operators
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 We study the simultaneous approximation properties of the well‐known Phillips operators. We establish the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded variation.
N. K. Govil +2 more
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Bézier Form of Quantum λ‐Bernstein–Schurer Operators With Associated Approximation Properties
Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce a Bézier form of Schurer‐type modification of the quantum λ‐Bernstein operators, extending the classical Schurer operators through the Bézier basis with shape parameter −1 ≤ λ ≤ 1. By applying Korovkin’s theorem, we obtain both global and local approximation results.
Jabr Aljedani +3 more
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