Generalization of majorization theorem-II

DOI10.7153/jmi-2018-12-56zbMath1403.26008OpenAlexW2511175103WikidataQ129202716 ScholiaQ129202716MaRDI QIDQ4561060

Nouman Siddique, Naveed Latif, Josip E. Pečarić

Publication date: 10 December 2018

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2018-12-56

zbMATH Keywords

applicationslinear functionalsmean value theoremsTaylor formula\(n\)-exponential convexitymajorization inequalitynew Green functions\((n+1)\)-convex functions at a pointGrüss and Ostrowski-type upper bounds

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Other analytical inequalities (26D20)

Related Items (5)

Difference equations related to majorization theorems via Montgomery identity and Green's functions with application to the Shannon entropy ⋮ Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional ⋮ Estimation of divergence measures on time scales via Taylor's polynomial and Green's function with applications in \(q\)-calculus ⋮ Majorization inequalities via Green functions and Fink's identity with applications to Shannon entropy ⋮ New entropic bounds on time scales via Hermite interpolating polynomial

Cites Work

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• Popoviciu type inequalities via Green function and generalized Montgomery identity
• Refinements of some majorization type inequalities
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• Inequalities: theory of majorization and its applications

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