Generalization of different type integral inequalities fors-convex functions via fractional integrals

DOI10.1080/00036811.2013.851785zbMath1296.26039OpenAlexW2964223250WikidataQ58171751 ScholiaQ58171751MaRDI QIDQ3191891

İmdat İşcan

Publication date: 25 September 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2013.851785

zbMATH Keywords

Riemann-Liouville fractional integralHermite-Hadamard inequality\(s\)-convex functionSimpson type inequalities

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (13)

Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals ⋮ On new general integral inequalities for \(s\)-convex functions ⋮ Extensions of different type parameterized inequalities for generalized \((m,h)\)-preinvex mappings via \(k\)-fractional integrals ⋮ New fuzzy-interval inequalities in fuzzy-interval fractional calculus by means of fuzzy order relation ⋮ \(k\)-fractional integral trapezium-like inequalities through \((h,m)\)-convex and \((\alpha,m)\)-convex mappings ⋮ Unnamed Item ⋮ Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity ⋮ Hermite-Hadamard-Fejér type inequalities for quasi-geometrically convex functions via fractional integrals ⋮ Hermite-Hadamard type inequalities for a new class of harmonically convex functions ⋮ On strongly convex functions via Caputo-Fabrizio-type fractional integral and some applications ⋮ Generalized fractional integral inequalities of Hermite-Hadamard type for harmonically convex functions ⋮ Fractional Hermite-Hadamard type inequalities for interval-valued functions ⋮ Hermite-Hadamard type inequalities for operator (p,h)-convex functions

Cites Work

• Unnamed Item
• Unnamed Item
• A new generalization of some integral inequalities for (\(\alpha, m\))-convex functions
• On the generalization of some integral inequalities and their applications
• New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals
• Hermite-Hadamard-type inequalities via \((\alpha ,m)\)-convexity
• Some remarks on \(s\)-convex functions
• On new inequalities via Riemann-Liouville fractional integration
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities

This page was built for publication: Generalization of different type integral inequalities fors-convex functions via fractional integrals