scientific article; zbMATH DE number 6105122

zbMath1259.41032MaRDI QIDQ4649760

Allal Guessab

Publication date: 13 November 2012

Full work available at URL: http://www.yokohamapublishers.jp/online2/opjnca/vol13/p777.html

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zbMATH Keywords

polytopesconvexityJensen's inequalitybarycentric coordinateslinear precisionnonnegative linear operators

Mathematics Subject Classification ID

Linear operator approximation theory (47A58) Multidimensional problems (41A63) Approximation by positive operators (41A36) Remainders in approximation formulas (41A80)

Related Items (8)

Approximations of differentiable convex functions on arbitrary convex polytopes ⋮ Generalizations of the Jensen functional involving diamond integrals via Abel-Gontscharoff interpolation ⋮ On some Volterra-Fredholm and Hermite-Hadamard-type fractional integral inequalities ⋮ On approximation of linear functionals over convex functions: construction techniques and new directions ⋮ Generalizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functions ⋮ Majorization and refined Jensen-Mercer type inequalities for self-adjoint operators ⋮ Cauchy type means for some generalized convex functions ⋮ On new general versions of Hermite-Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel

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