CLASSES OF FUNCTIONS WITH IMPROVED ESTIMATES IN APPROXIMATION BY THE MAX-PRODUCT BERNSTEIN OPERATOR

DOI10.1142/S0219530511001856zbMath1226.41007OpenAlexW2147692646MaRDI QIDQ3173106

Lucian C. Coroianu, Sorin Gheorghe Gal

Publication date: 10 October 2011

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530511001856

zbMATH Keywords

pointwise estimateLipschitz functionquasi-concave functionpolygonal lineJackson-type estimatemax-product Bernstein approximation operator

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation with constraints (41A29) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (14)

Approximation of fuzzy numbers by max-product Bernstein operators ⋮ Some new theorems on the approximation of maximum product type of multivariate nonlinear Bernstein-Chlodowsky operators ⋮ Localization results for the Bernstein MAX-product operator ⋮ Quantitative estimates for generalized Szász operators of max-product kind ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Regular summability methods in the approximation by max-min operators ⋮ Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression ⋮ Feller’s Scheme in Approximation by Nonlinear Possibilistic Integral Operators ⋮ Saturation and inverse results for the Bernstein max-product operator ⋮ A possibilistic approach of the max-product Bernstein kind operators ⋮ New approximation properties of the Bernstein max-min operators and Bernstein max-product operators ⋮ Approximation by max-product sampling Kantorovich operators with generalized kernels ⋮ Connections between the Approximation Orders of Positive Linear Operators and Their Max-Product Counterparts

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