Hermite-Hadamard-type inequalities for interval-valued preinvex functions via Riemann-Liouville fractional integrals

DOI10.1186/s13660-021-02623-wzbMath1504.26066OpenAlexW3171287299WikidataQ114061340 ScholiaQ114061340MaRDI QIDQ2072868

Sanjeev Kumar Singh, Nidhi Sharma, Abdelouahed Hamdi, Shashi Kant Mishra

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-021-02623-w

zbMATH Keywords

invex setspreinvex functionsfractional integralsinterval-valued functionsHermite-Hadamard inequalities

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)

Related Items (7)

HERMITE–HADAMARD–FEJÉR-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE ⋮ DISCRETE HERMITE–HADAMARD-TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION ⋮ Hermite-Hadamard-Mercer type inclusions for interval-valued functions via Riemann-Liouville fractional integrals ⋮ Generalized Hermite-Hadamard inclusions for a generalized fractional integral ⋮ On characterizations of solution sets of interval-valued quasiconvex programming problems ⋮ Unnamed Item ⋮ NEW HERMITE–HADAMARD–FEJÉR TYPE INEQUALITIES VIA RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS FOR CONVEX FUNCTIONS

Cites Work

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• Multi-objective interval fractional programming problems: an approach for obtaining efficient solutions
• The strong convergence theorems for split common fixed point problem of asymptotically nonexpansive mappings in Hilbert spaces
• Hukuhara differentiability of interval-valued functions and interval differential equations on time scales
• Sufficient optimality conditions and duality theory for interval optimization problem
• Some further refinements and extensions of the Hermite-Hadamard and Jensen inequalities in several variables
• Ostrowski type inequalities and applications in numerical integration for interval-valued functions
• Fractional calculus for interval-valued functions
• Some weighted Opial-type inequalities on time scales
• Pre-invex functions in multiple objective optimization
• On sufficiency of the Kuhn-Tucker conditions
• A local fractional integral inequality on fractal space analogous to Anderson's inequality
• On invex sets and preinvex functions
• Efficient solution of interval optimization problem
• Some generalizations of Maroni's inequality on time scales
• Dynamic Inequalities On Time Scales
• Introduction to Interval Analysis
• Fractional Hermite-Hadamard Inequalities
• Fractional Hermite-Hadamard-type inequalities for interval-valued functions
• On strongly generalized convex functions of higher order
• Expansion of Generalized Hukuhara Differentiable Interval Valued Function

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