Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute value are convex with applications

DOI10.1016/j.ajmsc.2014.01.002zbMath1308.26014OpenAlexW2111279470MaRDI QIDQ486123

Muhammad Amer Latif

Publication date: 14 January 2015

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2014.01.002

zbMATH Keywords

convex functionsHölder inequalityHermite-Hadamard's inequalitypower-mean inequalityspecial means

Mathematics Subject Classification ID

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

Related Items (12)

PROPERTIES AND INTEGRAL INEQUALITIES INVOLVING WITH THE GENERALIZED s-TYPE PREINVEX MAPPINGS IN FRACTAL SPACE ⋮ On Generalizations of Integral Inequalities ⋮ PROPERTIES AND INTEGRAL INEQUALITIES ARISING FROM THE GENERALIZED n-POLYNOMIAL CONVEXITY IN THE FRAME OF FRACTAL SPACE ⋮ AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES ⋮ On some new inequalities of Hermite-Hadamard type for functions whose derivatives are \(s\)-convex in the second sense in the absolute value ⋮ Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain ⋮ Certain Ostrowski type inequalities for generalized s-convex functions ⋮ Some weighted integral inequalities for differentiable \(h\)-preinvex functions ⋮ Some new Hermite-Hadamard type inequalities for \(s\)-convex functions and their applications ⋮ Hermite-Hadamard type inequalities for \(m\)-convex and \(( \alpha , m)\)-convex functions ⋮ AN IMPROVEMENT OF HÖLDER INTEGRAL INEQUALITY ON FRACTAL SETS AND SOME RELATED SIMPSON-LIKE INEQUALITIES ⋮ ON THE BULLEN-TYPE INEQUALITIES VIA GENERALIZED FRACTIONAL INTEGRALS AND THEIR APPLICATIONS

Cites Work

• Unnamed Item
• Hadamard-type inequalities for s-convex functions
• Convex functions, partial orderings, and statistical applications
• Some remarks on \(s\)-convex functions
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Inequalities for differentiable mappings with application to special means and quadrature formulæ
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• Analytic Inequalities

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