The $${\varphi}$$φ-Brunn–Minkowski inequality
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-018-0825-8
Abstract: For strictly increasing concave functions $${\varphi}$$φ whose inverse functions are log-concave, the $${\varphi}$$φ-Brunn–Minkowski inequality for planar convex bodies is established. It is shown that for convex bodies in $${\mathbb{R}^n}$$Rn the $${\varphi}$$φ-Brunn–Minkowski is equivalent to the… read more here.
Keywords: varphi brunn; minkowski inequality; brunn minkowski;
A Note on Reverse Minkowski Inequality via Generalized Proportional Fractional Integral Operator with respect to Another Function
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/7630260
Abstract: This study reveals new fractional behavior of Minkowski inequality and several other related generalizations in the frame of the newly proposed fractional operators. For this, an efficient technique called generalized proportional fractional integral operator with… read more here.
Keywords: generalized proportional; proportional fractional; minkowski inequality; another function ... See more keywords
Brunn-Minkowski inequality for $L_p$-mixed intersection bodies
Sign Up to like & getrecommendations! Published in 2017 at "Miskolc Mathematical Notes"
DOI: 10.18514/mmn.2017.416
Abstract: In this paper, we establish Lp-Brunn-Minkowski inequality for dual Quermassintegral of Lp-mixed intersection bodies. As application, we give the well-known Brunn-Minkowski inequality for mixed intersection bodies. 2010 Mathematics Subject Classification: 52A40 read more here.
Keywords: mixed intersection; intersection bodies; minkowski inequality; brunn minkowski ... See more keywords