Popoviciu type inequalities via Hermite's polynomial

DOI10.7153/mia-19-96zbMath1353.26014OpenAlexW2547136941MaRDI QIDQ2835420

Khuram Ali Khan, Saad Ihsan Butt, Josip E. Pečarić

Publication date: 2 December 2016

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-19-96

zbMATH Keywords

convex functionOstrowski inequalityHermite interpolationGrüss inequalitydivided differenceexponential convexityChebyshev functional

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07)

Related Items (7)

Refinement of Jensen's inequality and estimation of \(f\)- and Rényi divergence via Montgomery identity ⋮ Unnamed Item ⋮ Bounds of some divergence measures using Hermite polynomial via diamond integrals on time scales ⋮ Estimation of different entropies via Lidstone polynomial using Jensen-type functionals ⋮ Estimation of different entropies via Hermite interpolating polynomial using Jensen-type functionals ⋮ New entropic bounds on time scales via Hermite interpolating polynomial ⋮ Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals

Cites Work

• Unnamed Item
• On the Green's function of an \(N\)-point boundary value problem
• The integral version of Popoviciu's inequality
• Popoviciu type inequalities via Green function and generalized Montgomery identity
• Some new Ostrowski-type bounds for the Čebyšev functional and applications

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