Hermite-Hadamard Fractional Integral Inequalities via Abel-Gontscharoff Green’s Function
Abstract:
The Hermite-Hadamard inequalities for κ-Riemann-Liouville fractional integrals (R-LFI) are presented in this study using a relatively novel approach based on Abel-Gontscharoff Green’s function. In this new technique, we first established some integral identities. Such identities are used to obtain new results for monotonic functions whose second derivative is convex (concave) in absolute value. Some previously published inequalities are obtained as special cases of our main results. Various applications of our main consequences are also explored to special means and trapezoid-type formulae.
Año de publicación:
2022
Keywords:
- Abel-Gontscharoff Green’s function
- Convex function
- Mittag-Leffler
- Hermite-Hadamard inequalities
- κ-Riemann-Liouville fractional integral
Fuente:
google
scopus
Tipo de documento:
Article
Estado:
Acceso abierto
Áreas de conocimiento:
- Optimización matemática
- Optimización matemática
Áreas temáticas:
- Análisis