Trapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi Φ−Convex Functions


Abstract:

The Hermite-Hadamard inequality and an identity for AB−fractional integrals are demonstrated in this study using generalized Φ−convex functions. Some Hermite–Hadamard type inequalities are also established using the stated identity and theAB−fractional integral operator. A number of unique examples have been identified. The concept of generalized quasi Φ−convexfunctions is also introduced, as well as some fractional inequalities

Año de publicación:

2022

Keywords:

  • Hölder inequality
  • Power mean inequality
  • Mittag-leffler function
  • Hermite-hadamard inequality
  • Ab-fractional integrals
  • Convexity

Fuente:

googlegoogle
scopusscopus

Tipo de documento:

Article

Estado:

Acceso restringido

Áreas de conocimiento:

  • Optimización matemática
  • Optimización matemática

Áreas temáticas:

  • Análisis