Some new Saigo type fractional integral inequalities and their \(q\)-analogues

DOI10.1155/2014/579260zbMath1474.26100OpenAlexW2036754835WikidataQ59039607 ScholiaQ59039607MaRDI QIDQ1724433

Praveen Agarwal, Junesang Choi

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/579260

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (16)

Grüss type integral inequalities for generalized Riemann-Liouville \(k\)-fractional integrals ⋮ Some new existence and uniqueness results of solutions to semilinear impulsive fractional integro-differential equations ⋮ New version of fractional Simpson type inequalities for twice differentiable functions ⋮ Some \(k\)-fractional extension of Grüss-type inequalities via generalized Hilfer-Katugampola derivative ⋮ Application of Laplace transform on fractional kinetic equation pertaining to the generalized Galué type Struve function ⋮ Unnamed Item ⋮ A new generalization of Pochhammer symbol and its applications ⋮ Complete monotonicity related to the \(k\)-polygamma functions with applications ⋮ Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional \(q\)-derivatives ⋮ Fractional quantum integral operator with general kernels and applications ⋮ Certain inequalities involving the fractional \(q\)-integral operators ⋮ Hermite-Hadamard type inequalities for superquadratic functions via fractional integrals ⋮ Extended type \(k\)-Mittag-Leffler function and its applications ⋮ A Grüss type inequality for two weighted functions ⋮ Some recursion formulas for \(q\)-Lauricella series ⋮ \(q\)-integral inequalities associated with some fractional \(q\)-integral operators

Cites Work

• On fractional integral inequalities involving hypergeometric operators
• Fractional quantum integral inequalities
• Some integral inequalities of Grüss type
• Certain inequalities involving the fractional \(q\)-integral operators
• Advances on Fractional Inequalities
• Analytic Inequalities
• On an integral inequality
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