\((h-m)\)-convex functions and associated fractional Hadamard and Fejér-Hadamard inequalities via an extended generalized Mittag-Leffler function

DOI10.1186/s13660-019-2019-5zbMath1499.26128OpenAlexW2947460891MaRDI QIDQ2067798

Waqas Nazeer, Ghulam Farid, Sajid Mehmood, Kang, Shin Min

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2019-5

zbMATH Keywords

Mittag-Leffler functionfractional integralsRiemann-Liouville fractional integrals\((h-m)\)-convex functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (16)

Generalized inequalities for integral operators via several kinds of convex functions ⋮ Chebyshev type inequalities involving extended generalized fractional integral operators ⋮ Fractional integral versions of Hermite-Hadamard type inequality for generalized exponentially convexity ⋮ Boundedness of fractional integral operators containing Mittag-Leffler functions via \((s,m)\)-convexity ⋮ Some new Chebyshev type inequalities for fractional integral operator containing a further extension of Mittag-Leffler function in the kernel ⋮ Hermite-Jensen-Mercer type inequalities for Caputo fractional derivatives ⋮ Some properties and inequalities for the \((h,s)\)-nonconvex functions ⋮ Fractional Hadamard and Fejér-Hadamard inequalities associated with exponentially \((s,m)\)-convex functions ⋮ Unnamed Item ⋮ On Caputo-Fabrizio fractional integral inequalities of Hermite-Hadamard type for modified \(h\)-convex functions ⋮ New Trapezoid Type Inequalities for Generalized Exponentially Strongly Convex Functions ⋮ Unnamed Item ⋮ Generalized \(k\)-fractional integral inequalities associated with \((\alpha ,m)\)-convex functions ⋮ New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions ⋮ Hermite-Hadamard- and Jensen-type inequalities for interval \((h_1,h_2)\) nonconvex function ⋮ Non-conformable integral inequalities of Chebyshev-Pólya-Szegö type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
• On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals via two kinds of convexity
• On \(h\)-convexity
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On some new properties of fractional derivatives with Mittag-Leffler kernel
• Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
• A further extension of Mittag-Leffler function
• On a generalization of Mittag-Leffler function and its properties
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• On Hadamard-type inequalities for <i>m</i>-convex functions via Riemann-Liouville fractional integrals
• The extended Mittag-Leffler function via fractional calculus
• On new inequalities for h-convex functions via Riemann-Liouville fractional integration

This page was built for publication: \((h-m)\)-convex functions and associated fractional Hadamard and Fejér-Hadamard inequalities via an extended generalized Mittag-Leffler function