Hermite-Hadamard-type inequalities for the interval-valued approximately \(h\)-convex functions via generalized fractional integrals

DOI10.1186/s13660-020-02488-5zbMath1503.26085OpenAlexW3087639005MaRDI QIDQ2069562

Artion Kashuri, Dafang Zhao, Muhammad Aamir Ali, Hüseyin Budak, Mehmet Zeki Sarikaya

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02488-5

zbMATH Keywords

fractional integralsinterval-valued functionsHermite-Hadamard-type inequalities

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)

Related Items (12)

On modified convex interval valued functions and related inclusions via the interval valued generalized fractional integrals in extended interval space ⋮ Some parameterized Simpson-, midpoint- and trapezoid-type inequalities for generalized fractional integrals ⋮ On generalized Ostrowski, Simpson and trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals ⋮ Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals ⋮ Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions ⋮ Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals ⋮ SOME BULLEN-TYPE INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS ⋮ Fractional Hermite-Hadamard inequality, Simpson's and Ostrowski's type inequalities for convex functions with respect to a pair of functions ⋮ A new version of Newton's inequalities for Riemann-Liouville fractional integrals ⋮ Generalized Hermite-Hadamard inclusions for a generalized fractional integral ⋮ Some inequalities related to interval-valued \(\eta_h\)-convex functions ⋮ Some new generalized fractional Newton's type inequalities for convex functions

Cites Work

• Refinements of Hermite-Hadamard type inequalities involving fractional integrals
• Ostrowski type inequalities and applications in numerical integration for interval-valued functions
• Fractional calculus for interval-valued functions
• Some integral inequalities for interval-valued functions
• Zum Minkowskischen Integralbegriff abgeschlossener Mengen
• Some integral inequalities for fuzzy-interval-valued functions
• New Jensen and Hermite-Hadamard type inequalities for \(h\)-convex interval-valued functions
• Convex functions, partial orderings, and statistical applications
• Two mappings in connection to Hadamard's inequalities
• Calculus for interval functions of a real variable
• Hadamard inequality and a refinement of Jensen inequality for set-valued functions
• Jensen's inequality type integral for fuzzy-interval-valued functions
• A note on Hermite-Hadamard inequalities for products of convex functions
• Ostrowski type inequalities for interval-valued functions using generalized Hukuhara derivative
• Fractional Hermite-Hadamard type inequalities for interval-valued functions
• Some inequalities for interval-valued functions on time scales
• Simpson type integral inequalities for generalized fractional integral
• Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
• Introduction to Interval Analysis
• Fractional Hermite-Hadamard-type inequalities for interval-valued functions
• New Hermite-Hadamard-type inequalities and their applications
• Hermite–Hadamard inequalities for convex set-valued functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hermite-Hadamard-type inequalities for the interval-valued approximately \(h\)-convex functions via generalized fractional integrals