Optimal Recovery of Monotone Operators in Partially Ordered L-Spaces

DOI10.1080/01630563.2020.1775251zbMath1448.41030OpenAlexW3034533058MaRDI QIDQ5119512

Oleg V. Kovalenko, Vira Babenko, Vladislav F. Babenko

Publication date: 28 August 2020

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

Full work available at URL: https://doi.org/10.1080/01630563.2020.1775251

zbMATH Keywords

fuzzy setmonotone operatorsoptimal recoverymultivariate functionpartially ordered normed spacepartially ordered L-space

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities involving derivatives and differential and integral operators (26D10) Best constants in approximation theory (41A44)

Related Items (3)

General form of $(\lambda,\varphi)$-additive operators on spaces of $L$-space-valued functions ⋮ Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions ⋮ Estimates for the deviations of integral operators in semilinear metric spaces and their applications

Cites Work

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• Optimization of approximate integration of set-valued functions monotone with respect to inclusion
• Metric spaces of fuzzy sets
• Quasilinear operators and their application in the theory of multivalued mappings
• Approximations, widths and optimal quadrature formulae for classes of periodic functions with rearrangements invariant sets of derivatives
• Nonsymmetric approximation in the mean of differentiable functions by algebraic polynomials
• Integration of monotone functions of several variables
• Calculus and nonlinear integral equations for functions with values in \(L\)-spaces
• Optimum Sequential Search and Approximation Methods Under Minimum Regularity Assumptions
• Approximations with a sign-sensitive weight: existence and uniqueness theorems
• Approximations with a sign-sensitive weight. Stability, applications to the theory of snakes and Hausdorff approximations

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