Simpson-type inequalities by means of tempered fractional integrals

Abstract

The latest iterations of Simpson-type inequalities (STIs) are the topic of this paper. These inequalities were generated via convex functions and tempered fractional integral operators (TFIOs). To get these sorts of inequalities, we employ the well-known Hölder inequality and the inequality of exponent mean. The subsequent STIS are a generalization of several works on this topic that use the fractional integrals of Riemann-Liouville (FIsRL). Moreover, distinctive outcomes can be achieved through unique selections of the parameters.

Keywords

• simpson-type inequalities
• convex functions
• fractional integrals
• riemann-liouville fractional integrals
• tempered fractional integrals