A Santaló-type inequality for the transform

Dan I. Florentin; Alexander Segal

doi:10.1142/s0219199719500901

A Santaló-type inequality for the transform

Research output: Contribution to journal › Article › peer-review

Abstract

This paper deals with an analog of the Mahler volume product related to the ℑ transform acting in the class of geometric convex functions Cvx0(ℝn). We provide asymptotically sharp bounds for the quantity sJ(f) = ∫e-ℑf ∫e-f and characterize all the extremal functions.

Original language	English
Article number	1950090
Journal	Communications in Contemporary Mathematics
Volume	23
Issue number	1
DOIs	https://doi.org/10.1142/s0219199719500901
State	Published - 1 Feb 2021
Externally published	Yes

Keywords

Convex
Legendre
Mahler
Santaló
functional

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

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10.1142/s0219199719500901

Cite this

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abstract = "This paper deals with an analog of the Mahler volume product related to the ℑ transform acting in the class of geometric convex functions Cvx0(ℝn). We provide asymptotically sharp bounds for the quantity sJ(f) = ∫e-ℑf ∫e-f and characterize all the extremal functions.",

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AB - This paper deals with an analog of the Mahler volume product related to the ℑ transform acting in the class of geometric convex functions Cvx0(ℝn). We provide asymptotically sharp bounds for the quantity sJ(f) = ∫e-ℑf ∫e-f and characterize all the extremal functions.

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KW - Legendre

KW - Mahler

KW - Santaló

KW - functional

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DO - 10.1142/s0219199719500901

M3 - مقالة

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VL - 23

JO - Communications in Contemporary Mathematics

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M1 - 1950090

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A Santaló-type inequality for the transform

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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