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:

googlegoogle
scopusscopus

Tipo de documento:

Article

Estado:

Acceso abierto

Áreas de conocimiento:

  • Optimización matemática
  • Optimización matemática

Áreas temáticas:

  • Análisis