Inequalities for H-invex functions with applications for uniformly convex and superquadratic functions

DOI10.2298/FIL1715781NzbMath1499.49025MaRDI QIDQ5020918

Marek Niezgoda

Publication date: 7 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

convex functionJensen inequalitymajorizationglobal minimizerSherman inequalitysuperquadratic functionweighted majorization\(\varphi\)-uniformly convex function\(H\)-invex functionHardy-Littlewood-Pólya-Karamata inequality\((F, G)\)-invex function\(\eta\)-invex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25) Optimality conditions for problems in abstract spaces (49K27) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (5)

Unnamed Item ⋮ On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions ⋮ Hermite-Hadamard, Fejer and Sherman type inequalities for generalizations of superquadratic and convex functions ⋮ More accurate majorization inequalities obtained via superquadraticity and convexity with application to entropies ⋮ Fejér and Hermite-Hadamard type results for \(H\)-invex functions with applications

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