Generalized results of majorization inequality via Lidstone's polynomial and newly Green functions

DOI10.22436/jnsa.011.06.08zbMath1438.26099OpenAlexW2801487721MaRDI QIDQ5225419

Naveed Latif, Nouman Siddique, Josip E. Pečarić

Publication date: 22 July 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.011.06.08

zbMATH Keywords

mean value theoremsChebyshev functionalStolarsky-type means\(n\)-exponentially convex functionOstrowski-type boundsLidstone interpolating polynomialclassical majorization theoremFuchs thoremGrüss-type upper boundsconvex function \(f(x)/x\)Green function for `two point right focal' problem

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (2)

Difference equations related to majorization theorems via Montgomery identity and Green's functions with application to the Shannon entropy ⋮ Majorization inequalities via Green functions and Fink's identity with applications to Shannon entropy

Cites Work

• Exponential convexity for majorization
• New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity
• Generalizations of Sherman's inequality by Lidstone's interpolating polynomial
• Convex functions, partial orderings, and statistical applications
• Generalization of Jensen's inequality by Lidstone's polynomial and related results
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• Completely Convex Functions and Lidstone Series
• Inequalities: theory of majorization and its applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized results of majorization inequality via Lidstone's polynomial and newly Green functions