Exploring s-e-condition and applications to some Ostrowski type inequalities via Hadamard fractional integrals

DOI10.2478/s12175-014-0281-zzbMath1349.26021OpenAlexW2089631899MaRDI QIDQ5253484

Jian-Hua Deng, JinRong Wang, Michal Fečkan

Publication date: 26 May 2015

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-014-0281-z

zbMATH Keywords

Hadamard fractional integralsOstrowski-type inequalities\(s\)-e-condition

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (14)

Some inequalities for multiplicative tempered fractional integrals involving the \(\lambda \)-incomplete gamma functions ⋮ Some parameterized integral inequalities for \(p\)-convex mappings via the right Katugampola fractional integrals ⋮ Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and \(p\)-convex mappings ⋮ Hermite-Hadamard-type inequalities for \(r\)-convex functions based on the use of Riemann-Liouville fractional integrals ⋮ On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings ⋮ Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities ⋮ Some new generalized integral inequalities for GA-\(s\)-convex functions via Hadamard fractional integrals ⋮ New Hermite-Hadamard-type inequalities for fractional integrals and their applications ⋮ Unnamed Item ⋮ Hadamard \(k\)-fractional inequalities of Fejér type for GA-\(s\)-convex mappings and applications ⋮ Some parameterized inequalities by means of fractional integrals with exponential kernels and their applications ⋮ Some Ostrowski type inequalities for p-convex functions via generalized fractional integrals ⋮ Applying GG-convex function to Hermite-Hadamard inequalities involving Hadamard fractional integrals ⋮ ON THE BULLEN-TYPE INEQUALITIES VIA GENERALIZED FRACTIONAL INTEGRALS AND THEIR APPLICATIONS

Cites Work

• New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals
• Hadamard-type and Bullen-type inequalities for Lipschitzian functions and their applications

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