On an integral and consequent fractional integral operators via generalized convexity

DOI10.3934/MATH.2020488zbMath1484.26028OpenAlexW3087817399MaRDI QIDQ2132319

Moquddsa Zahra, Wenfeng He, Ghulam Farid, Nana Chen, Kahkashan Mahreen

Publication date: 27 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020488

zbMATH Keywords

boundsconvex functionsintegral operatorsfractional integral operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (4)

Generalization of some fractional versions of Hadamard inequalities via exponentially \((\alpha, h-m)\)-convex functions ⋮ CERTAIN NEW WEIGHTED YOUNG- AND PÓLYA–SZEGÖ-TYPE INEQUALITIES FOR UNIFIED FRACTIONAL INTEGRAL OPERATORS VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION WITH APPLICATIONS ⋮ On bounds of fractional integral operators containing Mittag-Leffler functions for generalized exponentially convex functions ⋮ Hadamard-type \(k\)-fractional integral inequalities for exponentially \((\alpha,h-m)\)-convex functions

Cites Work

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• Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Some remarks on \(s\)-convex functions
• On a new class of fractional operators
• Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
• Hermite-Hadamard type inequalities for exponentially \(p\)-convex functions and exponentially \(s\)-convex functions in the second sense with applications
• Generalized \(k\)-fractional integral inequalities associated with \((\alpha ,m)\)-convex functions
• Generalized fractional integral inequalities for exponentially \((s,m)\)-convex functions
• Boundedness of fractional integral operators containing Mittag-Leffler functions via \((s,m)\)-convexity
• Derivation of bounds of several kinds of operators via \((s,m)\)-convexity
• A further extension of Mittag-Leffler function
• Some Riemann-Liouville fractional integral inequalities for convex functions
• (k,s)-Riemann-Liouville fractional integral and applications
• Inequalities of Jensen's type for generalized k-g-fractional integrals of function $f$ for which the composite f ○ g^-1 is convex
• The extended Mittag-Leffler function via fractional calculus
• K-fractional integral inequalities of Hadamard type for (h − m)−convex functions

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