Popoviciu type inequalities via Green function and Taylor polynomial

DOI10.3906/MAT-1501-38zbMath1424.26036OpenAlexW2266210344MaRDI QIDQ4633110

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

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1501-38

zbMATH Keywords

Green functionOstrowski inequalityPopoviciu inequalityGrüss inequalityexponential convexityChebyshev functionalTaylor formulaCauchy mean

Mathematics Subject Classification ID

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

Related Items (6)

Generalization of cyclic refinements of Jensen's inequality by Fink's identity ⋮ 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 ⋮ Bounds of some divergence measures using Hermite polynomial via diamond integrals on time scales ⋮ New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity ⋮ Generalizations of Hardy type inequalities by Taylor's formula

Cites Work

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• Differences of weighted mixed symmetric means and related results
• Convex functions, partial orderings, and statistical applications
• Steffensen inequality, higher order convexity and exponential convexity
• The integral version of Popoviciu's inequality
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• Completely Convex Functions and Lidstone Series

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