The dual Brunn–Minkowski inequality for log-volume of star bodies

Abstract

This paper aims to consider the dual Brunn–Minkowski inequality for log-volume of star bodies, and the equivalent Minkowski inequality for mixed log-volume.

Enlarged integral inequalities through recent fractional generalized operators

“…In the context of the generalized fractional theta-obedient integral, a variety of research directions related to integral inequalities can be examined in equation (12). More research on the Hermite-Hadamard inequality with differentiable h-convex functions [31], Hermite-Hadamard inequality for s-convex functions [29], the binary Brunn-Minkowski inequality [17], and other topics are predicted under this operator.…”

Further Integral Inequalities through Some Generalized Fractional Integral Operators

“…In addition, numerous research directions related to the integral inequalities can be considered in the frame of the general improved fractional integral ( 6) and (7). Under these operators, it is expected there will be more investigations into the Hermite-Hadamard inequality with differentiable h-convex functions [31], Hermite-Hadamard inequality for s-Convex functions [32], the binary Brunn-Minkowski inequality [33], and others.…”