On some new inequalities of Hermite-Hadamard type for functions whose derivatives are \(s\)-convex in the second sense in the absolute value

DOI10.1007/s11253-016-1172-yzbMath1386.26030OpenAlexW2473731332WikidataQ112879603 ScholiaQ112879603MaRDI QIDQ1684597

Peng Zhang

Publication date: 11 December 2017

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1172-y

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Inequalities involving derivatives and differential and integral operators (26D10) Numerical integration (65D30)

Related Items (12)

Different types of quantum integral inequalities via \((\alpha ,m)\)-convexity ⋮ Some inequalities for multiplicative tempered fractional integrals involving the \(\lambda \)-incomplete gamma functions ⋮ Extensions of different type parameterized inequalities for generalized \((m,h)\)-preinvex mappings via \(k\)-fractional integrals ⋮ On Generalizations of Integral Inequalities ⋮ AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES ⋮ \(k\)-fractional integral trapezium-like inequalities through \((h,m)\)-convex and \((\alpha,m)\)-convex mappings ⋮ Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain ⋮ Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity ⋮ Fractional trapezium-like inequalities involving generalized relative semi-\(( m, h_1 , h_2)\)-preinvex mappings on an \(m\)-invex set ⋮ Hermite-Hadamard-type inequalities involving \(\psi\)-Riemann-Liouville fractional integrals via \(s\)-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

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