Some Riemann-Liouville fractional integral inequalities for convex functions

DOI10.1007/s41478-018-0079-4zbMath1428.26037OpenAlexW2800098685MaRDI QIDQ2335964

Ghulam Farid

Publication date: 18 November 2019

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-018-0079-4

zbMATH Keywords

convex functionRiemann-Liouville fractional integral

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 (21)

Inequalities for a unified integral operator for strongly \((\alpha,m)\)-convex function and related results in fractional calculus ⋮ Derivation of bounds of integral operators via convex functions ⋮ Bounds of a unified integral operator for \((s,m)\)-convex functions and their consequences ⋮ Refinement and corrigendum of bounds of fractional integral operators containing Mittag-Leffler functions ⋮ On an integral and consequent fractional integral operators via generalized convexity ⋮ On bounds of fractional integral operators containing Mittag-Leffler functions for generalized exponentially convex functions ⋮ On boundedness of unified integral operators for quasiconvex functions ⋮ Study of a generalized Riemann-Liouville fractional integral via convex functions ⋮ Unified integral operator inequalities via convex composition of two functions ⋮ Bounds of a unified integral operator via exponentially \((s,m)\)-convexity and their consequences ⋮ Bounds of Riemann-Liouville fractional integral operators ⋮ Inequalities for a unified integral operator via \((\alpha,m)\)-convex functions ⋮ Derivation of bounds of an integral operator via exponentially convex functions ⋮ Fractional Hadamard and Fejér-Hadamard inequalities associated with exponentially \((s,m)\)-convex functions ⋮ Refinements of some integral inequalities for \((s, m)\)-convex functions ⋮ Unnamed Item ⋮ Inequalities for unified integral operators via strongly \((\alpha ,h\text{-}m)\)-convexity ⋮ New integral inequalities of Hermite-Hadamard type via the Katugampola fractional integrals for strongly \(\eta\)-quasiconvex functions ⋮ Estimations of fractional integral operators for convex functions and related results ⋮ Study of fractional integral inequalities involving Mittag-Leffler functions via convexity ⋮ BOUNDS OF AN INTEGRAL OPERATOR FOR CONVEX FUNCTIONS AND RESULTS IN FRACTIONAL CALCULUS

Cites Work

• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Unnamed Item

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