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- Title
The Multipoint-based Hermite-Hadamard Inequalities for Fractional Integrals with Exponential Kernels.
- Authors
Zhengrong Yuan; Tingsong Du
- Abstract
This paper concentrates on addressing fractional inequalities for exponential type convex functions. By means of exponential-type convexity, we firstly establish Hermite-Hadamard (HH) type inequalities for fractional integrals with exponential kernels. Secondly, based on the discovered fractional identity by separating [a; b] to n equal subintervals, and the fact that the twice derivative in absolute value is exponential type convex, we present multipoint-based HH inequalities, which cover the trapezoid- and Bullen-type inequalities for n = 1 and 2, correspondingly. During the period, some numerical examples with graphs are provided to show the validity of the deduced inequalities.
- Subjects
INTEGRAL inequalities; FRACTIONAL integrals; CONVEX functions; ABSOLUTE value; TRAPEZOIDS
- Publication
IAENG International Journal of Applied Mathematics, 2024, Vol 54, Issue 6, p1013
- ISSN
1992-9978
- Publication type
Article