Hermite-Hadamard type fractional integral inequalities for products of two MT(r;g,m,φ)-preinvex functions

DOI10.22199/issn.0717-6279-2020-01-0014zbMath1458.26012OpenAlexW3005528526MaRDI QIDQ5142140

Artion Kashuri, Rozana Liko

Publication date: 29 December 2020

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2020-01-0014

zbMATH Keywords

Cauchy inequalityHölder inequalityRiemann-Liouville fractional integralMinkowski inequalitypower mean inequalityHermite-Hadamard-type inequalityP-functionm-invexs-convex function in the second sense

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) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New inequalities of Hermite-Hadamard type for convex functions with applications
• The Hermite-Hadamard type inequality of GA-convex functions and its application
• Some remarks on \(s\)-convex functions
• Generalized invexity and generalized invariant monotonicity
• Mean value in invexity analysis
• Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions
• On Some Fractional Integral Inequalities of Hermite-Hadamard Type for $r$-Preinvex Functions
• Schur convexity and Hadamard's inequality
• Two Schur-convex functions related to Hadamard-type\\ integral inequalities
• Generalizations of Hermite--Hadamard type inequalities for MT-convex functions
• Invexity and generalized convexity
• Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
• Several complementary inequalities to inequalities of Hermite-Hadamard type for s-convex functions
• New integral inequalities via P-convexity
• Some integral inequalities of Simpson type for GA-ɛ-convex functions
• Some inequalities of Hermite-Hadamard type for $r$-$\varphi$-preinvex functions

This page was built for publication: Hermite-Hadamard type fractional integral inequalities for products of two MT(r;g,m,φ)-preinvex functions