New Inequalities On Generalized m-Convexity On Fractal Sets


Abstract:

In this research, we study some algebraic and topological properties of generalized m-convex functions on fractal sets and establish a new Jensen type inequality. Also, we obtain some new Hermite-Hadamard type inequalities for local fractional integrals of this class of functions. As applications, we present some inequalities with generalized special means and generalized probability density functions.

Año de publicación:

2022

Keywords:

  • m-Convex Function
  • Convex function
  • Generalized m-Convex Function
  • Fractal set

Fuente:

scopusscopus

Tipo de documento:

Article

Estado:

Acceso restringido

Áreas de conocimiento:

  • Optimización matemática

Áreas temáticas:

  • Álgebra
  • Matemáticas
  • Aritmética