A possibilistic approach of the max-product Bernstein kind operators

DOI10.1007/S00025-013-0357-ZzbMath1293.41010OpenAlexW1977349482MaRDI QIDQ2016030

Sorin Gheorghe Gal

Publication date: 18 June 2014

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-013-0357-z

zbMATH Keywords

possibility theorypossibility distributionChebyshev-type inequalityapproximation by max-product Bernstein-kind operator

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probabilistic measure theory (60A10) Fuzzy measure theory (28E10) Approximation by positive operators (41A36)

Related Items (4)

Approximation by Choquet integral operators ⋮ Feller’s Scheme in Approximation by Nonlinear Possibilistic Integral Operators ⋮ Approximation by mixed operators of max-product-Choquet type ⋮ Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels

Cites Work

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• Saturation and inverse results for the Bernstein max-product operator
• Approximation and shape preserving properties of the Bernstein operator of max-product kind
• Korovkin-type approximation theory and its applications
• Localization Results for the Meyer-König and Zeller Max-Product Operator
• CLASSES OF FUNCTIONS WITH IMPROVED ESTIMATES IN APPROXIMATION BY THE MAX-PRODUCT BERNSTEIN OPERATOR
• Approximation and Shape Preserving Properties of the Nonlinear Meyer–König and Zeller Operator of Max-Product Kind
• A Probabilistic Proof of the Weierstrass Approximation Theorem
• Approximation and shape preserving properties of the nonlinear Favardsza-Szász-Mirakjan operator of max-product kind

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