Feller’s Scheme in Approximation by Nonlinear Possibilistic Integral Operators

DOI10.1080/01630563.2017.1279174zbMath1364.41013OpenAlexW2568405015MaRDI QIDQ2987802

Bogdan D. Opris, Sorin Trifa, Sorin Gheorghe Gal, Lucian C. Coroianu

Publication date: 18 May 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2017.1279174

zbMATH Keywords

possibilistic (max-product) Bernstein-kind operatorspossibilistic de la Vallée-Poussin operatorspossibilistic Fejér operatorspossibilistic Gauss-Weierstrass operatorspossibilistic Jackson operatorspossibilistic Picard operatorspossibilistic Poisson-Cauchy operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Fuzzy measure theory (28E10) Approximation by positive operators (41A36)

Related Items (2)

Approximation by Choquet integral operators ⋮ Approximation by mixed operators of max-product-Choquet type

Cites Work

• Unnamed Item
• Approximation by Choquet integral operators
• Complete asymptotic expansion for generalized Favard operators
• Approximation and shape preserving properties of the Bernstein operator of max-product kind
• Localization results for the Bernstein MAX-product operator
• A possibilistic approach of the max-product Bernstein kind operators
• Localization Results for the Meyer-König and Zeller Max-Product Operator
• POSSIBILITY THEORY I: THE MEASURE- AND INTEGRAL-THEORETIC GROUNDWORK
• 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

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