Approximation for a generalization of Bernstein operators

DOI10.1186/s13660-016-1147-4zbMath1346.41002OpenAlexW2515791435WikidataQ59461227 ScholiaQ59461227MaRDI QIDQ308182

Guofen Liu, Xiuzhong Yang

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1147-4

zbMATH Keywords

\(K\)-functionalmodulus of smoothnessequivalent approximation theoremgeneralized Bernstein-Kantorovich operators

Mathematics Subject Classification ID

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

Cites Work

• On the approximation for generalized Szász-Durrmeyer type operators in the space \(L_p[0, \infty)\)
• Simultaneous approximation for Bézier variant of Szász--Mirakyan--Durrmeyer operators
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
• A generalization of the Bernstein polynomials
• The central approximation theorems for Baskakov-Bézier operators
• Analytic Number Theory, Approximation Theory, and Special Functions
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