An inequality involving some linear positive operators and box-convex functions

DOI10.1007/S00025-021-01576-2zbMath1492.26029OpenAlexW4200349383MaRDI QIDQ2071833

Bogdan Gavrea, Ioan Gavrea

Publication date: 31 January 2022

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

Full work available at URL: https://doi.org/10.1007/s00025-021-01576-2

zbMATH Keywords

Bernstein polynomialsconvex functionsdivided differenceslinear positive operatorsbox-convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Applications of functional analysis in probability theory and statistics (46N30) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

On q-monotonicity of α-Bernstein operators ⋮ On the integral representation and the Raşa, Jensen and Hermite-Hadamard inequalities for box-convex functions ⋮ Relations between the Bernstein polynomials and \(q\)-monotone functions

Cites Work

• A solution to the problem of Raşa connected with Bernstein polynomials
• A new look at Popoviciu's concept of convexity for functions of two variables
• An extension of Raşa's conjecture to \(q\)-monotone functions
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