A Generalized Version of Polynomial Convex Functions and Some Interesting Inequalities with Applications

In this article, we introduce a general class of convex functions and proved some of its basic properties. We establish Hermite-Hadamard type inequalities as well as fractional version of Hermite-Hadamard type inequalities by using Riemann-Liouville integral operator. At the end, some application to special means of real numbers are also given. It can be observed from the remarks given in this paper that several exiting results of ligature can be obtained immediacy from our results by taking suitable involved parameters.

Automated summary

In this article, we introduce a general class of convex functions and prove some basic properties. We establish Hermite-Hadamard type inequalities and fractional versions of Hermite-Hadamard type inequalities using the Riemann-Liouville integral operator. Furthermore, we provide applications to special means of real numbers. It is observed from the remarks in this paper that several significant results of ligature can be immediately obtained from our results by selecting suitable involved parameters.