Generalization of Popoviciu type Inequalities via Green's function and Fink's identity

DOI10.7153/mia-19-91zbMath1353.26013OpenAlexW2547884424MaRDI QIDQ2835415

Saad Ihsan Butt, Ana Vukelić, Josip E. Pečarić, Ravi P. Agarwal

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-19-91

zbMATH Keywords

convex functionOstrowski inequalityGrüss inequalitydivided differenceexponential convexityChebyshev functionalFink identity

Mathematics Subject Classification ID

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

Related Items (1)

The Popoviciu type inequalities for s-convex functions in the third sense

Cites Work

• Bounds on the deviation of a function from its averages
• Popoviciu type inequalities via Green function and generalized Montgomery identity
• Completely Convex Functions and Lidstone Series

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