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The Multipoint-based Hermite-Hadamard Inequalities for Fractional Integrals with Exponential Kernels.
- Source :
-
IAENG International Journal of Applied Mathematics . Jun2024, Vol. 54 Issue 6, p1013-1025. 13p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 19929978
- Volume :
- 54
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- IAENG International Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 177619636