Integral inequalities of Hermite-Hadamard type for functions whose third derivatives are convex

DOI10.1186/1029-242X-2013-451zbMath1297.26047WikidataQ59302033 ScholiaQ59302033MaRDI QIDQ2250432

Ling Chun, Feng Qi

Publication date: 7 July 2014

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

zbMATH Keywords

convex functionHermite-Hadamard integral inequalitythird derivative

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Convexity of real functions in one variable, generalizations (26A51)

Related Items (10)

Integral inequalities of Hermite-Hadamard type for extended \(s\)-convex functions and applications ⋮ Generalized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property ⋮ Hermite-Hadamard-type integral inequalities for functions whose first derivatives are convex ⋮ Hermite-Hadamard-type inequalities for geometrically \(r\)-convex functions in terms of Stolarsky's mean with applications to means ⋮ Hermite-Hadamard type inequalities for \(n\)-times differentiable and preinvex functions ⋮ MORE RESULTS ON HERMITE-HADAMARD TYPE INEQUALITY THROUGH (<i>α, m</i>)-PREINVEXITY ⋮ Generalized Hermite-Hadamard type integral inequalities ⋮ Some new Hermite-Hadamard type inequalities for h-convex functions via quantum integral on finite intervals ⋮ Some new inequalities of the Hermite–Hadamard type for extended ((s₁, m₁)-(s₂, m₂))-convex functions on co-ordinates ⋮ Some new inequalities involving the Katugampola fractional integrals for strongly \(\eta \)-convex functions

Cites Work

• Two mappings in connection to Hadamard's inequalities
• Some remarks on \(s\)-convex functions
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• On integral inequalities of Hermite-Hadamard type for \(s\)-geometrically convex functions
• Generalizations and refinements of Hermite-Hadamard's inequality
• Hermite–Hadamard type integral inequalities for geometric-arithmeticallys-convex functions
• Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions

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