Novel inequalities for subadditive functions via tempered fractional integrals and their numerical investigations

Abstract

In this paper, we proposed some new integral inequalities for subadditive functions and the product of subadditive functions. Additionally, a novel integral identity was established and a number of inequalities of the Hermite-Hadamard type for subadditive functions pertinent to tempered fractional integrals were proved. Finally, to support the major results, we provided several examples of subadditive functions and corresponding graphs for the newly proposed inequalities.

Keywords

• hermite-hadamard inequality
• subadditivity
• tempered fractional integral operators
• hölder's inequality
• power-mean inequality
• estimations