Approximation and shape preserving properties of the Bernstein operator of max-product kind

DOI10.1155/2009/590589zbMath1188.41016OpenAlexW2080279244WikidataQ58648472 ScholiaQ58648472MaRDI QIDQ963514

Barnabás Bede, Sorin Gheorghe Gal, Lucian C. Coroianu

Publication date: 20 April 2010

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227065

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (23)

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 ⋮ Approximation by truncated Lupaş operators of max-product kind ⋮ Unnamed Item ⋮ Summation Process by Max-Product Operators ⋮ Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression ⋮ The rate of convergence for linear shape-preserving algorithms ⋮ Unnamed Item ⋮ Approximation by max-min operators: a general theory and its applications ⋮ Feller’s Scheme in Approximation by Nonlinear Possibilistic Integral Operators ⋮ Saturation and inverse results for the Bernstein max-product operator ⋮ Unnamed Item ⋮ A possibilistic approach of the max-product Bernstein kind operators ⋮ Convexity of functions produced by Bernstein operators of max-product kind ⋮ Approximation results on nonlinear operators by \(P_p\)-statistical convergence ⋮ 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 ⋮ Approximation by Kantorovich-type max-min operators and its applications ⋮ Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels

Cites Work

• Approximation by pseudo-linear operators
• The lower estimate for linear positive operators. II
• Approximation by Bernstein Polynomials
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