Generalization of Popoviciu-type inequalities via Fink identity

DOI10.1007/s00009-015-0573-8zbMath1347.26038OpenAlexW2145554357MaRDI QIDQ305800

Saad Ihsan Butt, Ana Vukelić, Josip E. Pečarić

Publication date: 31 August 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0573-8

zbMATH Keywords

convex functionOstrowski inequalityGrüss inequalitydivided differenceexponential convexityChebyshev functionalFink's identity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20) Inequalities in real analysis (26D99)

Related Items (12)

Generalization of cyclic refinements of Jensen's inequality by Fink's identity ⋮ New bounds for Shannon, relative and Mandelbrot entropies via Hermite interpolating polynomial ⋮ Simpson type conformable fractional inequalities ⋮ Generalization of cyclic refinements of Jensen inequality by montgomery identity and Green’s function ⋮ New generalizations of Popoviciu type inequalities via new Green functions and Fink's identity ⋮ Some Simpson's Riemann-Liouville fractional integral inequalities with applications to special functions ⋮ Generalizations of cyclic refinements of Jensen's inequality by Lidstone's polynomial with applications in information theory ⋮ The Popoviciu type inequalities for s-convex functions in the third sense ⋮ Unnamed Item ⋮ New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity ⋮ New bounds for Shannon, relative and Mandelbrot entropies via Abel-Gontscharoff interpolating polynomial ⋮ Several new cyclic Jensen type inequalities and their applications

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