Hermite-Hadamard type inequalities for harmonically alpha-convex functions

DOI10.15672/HJMS.20164516901zbMath1347.26043arXiv1307.5402MaRDI QIDQ2818355

İmdat İşcan

Publication date: 7 September 2016

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5402

zbMATH Keywords

hypergeometric functionHermite-Hadamard type inequalitiesharmonically \((\alpha, m)\)-convex function

Mathematics Subject Classification ID

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

Related Items (12)

Some Ostrowski type inequalities for harmonically \((s,m)\)-convex functions in second sense ⋮ Different types of quantum integral inequalities via \((\alpha ,m)\)-convexity ⋮ The Hermite-Hadamard inequality for \(s\)-convex functions in the third sense ⋮ Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals ⋮ Trapezoidal like inequalities via harmonic \(h\)-convex functions on the co-ordinates in a rectangle from the plane ⋮ Ostrowski-type inequalities for strongly convex functions ⋮ Hermite-Hadamard type inequalities for the s-HH convex functions via k-fractional integrals and applications ⋮ Some integral inequalities via new generalized harmonically convexity ⋮ Generalized fractional Hadamard and Fejér-Hadamard inequalities for generalized harmonically convex functions ⋮ Simpson-like type inequalities for relative semi-(α,m)-logarithmically convex functions ⋮ Some inequalities for reciprocally (s,m)-convex in the second sense functions and applications to special means ⋮ Some integral inequalities for harmonically \((\alpha,s)\)-convex functions

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