On the approximation for generalized Szász-Durrmeyer type operators in the space \(L_p[0, \infty)\)

DOI10.1186/1029-242X-2014-447zbMath1334.41034OpenAlexW2103915678WikidataQ59324493 ScholiaQ59324493MaRDI QIDQ261140

Xiuzhong Yang, Guofen Liu

Publication date: 22 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-447

zbMATH Keywords

\(K\)-functionalmodulus of smoothnessdirect and inverse theoremsSzász-Durrmeyer-Bézier operator

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Inverse theorems in approximation theory (41A27)

Related Items (4)

Towards the best constant in front of the Ditzian-Totik modulus of smoothness ⋮ Approximation for a generalization of Bernstein operators ⋮ Approximation of a kind of new type Bézier operators ⋮ Direct, inverse, and equivalence theorems for weighted Szász-Durrmeyer-Bézier operators in Orlicz spaces

Cites Work

• Some approximation properties of Baskakov-Durrmeyer-Stancu operators
• On the rate of convergence of the generalized Szász type operators for functions of bounded variation
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
• Rate of convergence of Baskakov-Bézier type operators for locally bounded functions.
• The central approximation theorems for Baskakov-Bézier operators
• Convergence Estimates in Approximation Theory
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