Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Caglar, Umut"'
Autor:
Topkaya, Cansu, Hökelek, Tuncer, Aslan, Sema, Göktürk, Tolga, Kıncal, Sultan, Çağlar, Umut, Güp, Ramazan
Publikováno v:
In Journal of Molecular Structure 15 December 2024 1318 Part 2
In this paper we further develop the theory of f-divergences for log-concave functions and their related inequalities. We establish Pinsker inequalities and new affine invariant entropy inequalities. We obtain new inequalities on functional affine su
Externí odkaz:
http://arxiv.org/abs/2005.07055
Autor:
Caglar, Umut
This dissertation deals with topics in convex geometric analysis. In particular, it deals with entropy inequalities for log concave functions and their relations with inequalities from convex geometry involving convex bodies.In recent years, many not
Externí odkaz:
http://rave.ohiolink.edu/etdc/view?acc_num=case1400598757
Autor:
Caglar, Umut
We introduce various concepts of floating bodies, namely Ulam's floating body, Dupin's floating body, and the convex floating body and we give examples for the different concepts. In particular, we investigate if counterexamples to certain long stand
Externí odkaz:
http://rave.ohiolink.edu/etdc/view?acc_num=case1274467259
Autor:
Caglar, Umut, Ye, Deping
In this paper, we develop a basic theory of Orlicz affine and geominimal surface areas for convex and $s$-concave functions. We prove some basic properties for these newly introduced functional affine invariants and establish related functional affin
Externí odkaz:
http://arxiv.org/abs/1506.02974
Autor:
Caglar, Umut, Werner, Elisabeth M.
Mixed $f$-divergences, a concept from information theory and statistics, measure the difference between multiple pairs of distributions. We introduce them for log concave functions and establish some of their properties. Among them are affine invaria
Externí odkaz:
http://arxiv.org/abs/1401.7065
Autor:
Werner, Elisabeth M., Caglar, Umut
The Blaschke Santal\'o inequality and the $L_p$ affine isoperimetric inequalities are major inequalities in convex geometry and they have a wide range of applications. Functional versions of the Blaschke Santal\'o inequality have been established ove
Externí odkaz:
http://arxiv.org/abs/1312.4148
Autor:
Caglar, Umut, Werner, Elisabeth M.
We prove new entropy inequalities for log concave and s-concave functions that strengthen and generalize recently established reverse log Sobolev and Poincare inequalities for such functions. This leads naturally to the concept of f-divergence and, i
Externí odkaz:
http://arxiv.org/abs/1307.5409
Autor:
Caglar, Umut, Ye, Deping
Publikováno v:
In Advances in Applied Mathematics October 2016 81:78-114
Autor:
Caglar, Umut, Werner, Elisabeth M.
Publikováno v:
In Advances in Mathematics 1 June 2014 257:219-247