Bounds of Riemann-Liouville fractional integral operators

DOI10.22034/CMDE.2020.32653.1516zbMath1499.26013OpenAlexW3046864402MaRDI QIDQ5025478

Ghulam Farid

Publication date: 2 February 2022

Full work available at URL: https://cmde.tabrizu.ac.ir/article_10752_c4ec191093d776940f3007fc1d6f70fe.pdf

zbMATH Keywords

convex functionboundsRiemann-Liouville fractional integral operators\((h-m)\)-convex function

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 (6)

Generalized inequalities for integral operators via several kinds of convex functions ⋮ On bounds of fractional integral operators containing Mittag-Leffler functions for generalized exponentially convex functions ⋮ A mathematical model with fractional-order dynamics for the combined treatment of metastatic colorectal cancer ⋮ Inequalities for unified integral operators via strongly \((\alpha ,h\text{-}m)\)-convexity ⋮ Estimations of fractional integral operators for convex functions and related results ⋮ Study of fractional integral inequalities involving Mittag-Leffler functions via convexity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• General fractional integral inequalities for convex and \(m\)-convex functions via an extended generalized Mittag-Leffler function
• On \(h\)-convexity
• Convex functions, partial orderings, and statistical applications
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Norm inequalities related to the arithmetic-geometric mean inequalities for positive semidefinite matrices
• Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
• On a Hardy operator inequality
• Generalized fractional inequalities for quasi-convex functions
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Some Riemann-Liouville fractional integral inequalities for convex functions
• Generalizations of some fractional integral inequalities for m-convex functions via generalized Mittag-Leffler function
• Convex functions and their applications. A contemporary approach

This page was built for publication: Bounds of Riemann-Liouville fractional integral operators