New integral inequalities via P-convexity

TL;DR

This paper extends integral inequalities for functions with P-convexity, providing new estimates for weighted integrals involving powers of the absolute value.

Contribution

It introduces novel bounds for integrals of P-convex functions, expanding the theoretical framework of integral inequalities.

Findings

Derived new estimates for weighted integrals of P-convex functions.

Extended classical inequalities to broader classes of functions.

Provided theoretical tools for future research in integral inequalities.

Abstract

In this note we extend some new estimates of the integral $\int_a^b (x-a)^p(b-x)^qf(x)dx$ for functions when a power of the absolute value is $P-$convex.