Certain Chebyshev type integral inequalities involving Hadamard's fractional operators

DOI10.1155/2014/249091zbMath1470.26035OpenAlexW2040966369WikidataQ57663790 ScholiaQ57663790MaRDI QIDQ1722435

Jessada Tariboon, Sunil Dutt Purohit, Sotiris K. Ntouyas

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/249091

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items (14)

A survey of useful inequalities in fractional calculus ⋮ Certain generalized fractional integral inequalities ⋮ Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya-Szegö inequality with applications ⋮ Some new fractional inequalities involving convex functions and generalized fractional integral operator ⋮ Integral inequalities involving generalized Erdélyi-Kober fractional integral operators ⋮ Chebyshev-type inequalities involving \((k, \psi)\)-proportional fractional integral operators ⋮ Integral inequalities associated with Gauss hypergeometric function fractional integral operators ⋮ Generalized fractional integral operators involving Mittag-Leffler function ⋮ On new integral inequalities using mixed conformable fractional integrals ⋮ New Chebyshev type inequalities via a general family of fractional integral operators with a modified Mittag-Leffler kernel ⋮ Some new integral inequalities associated with generalized proportional fractional operators ⋮ The extended Mittag-Leffler function via fractional calculus ⋮ Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain ⋮ Certain Hermite-Hadamard type inequalities via generalized \(k\)-fractional integrals

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