Open AccessJensen's type inequalities for the finite Hilbert transform of convex functions
Author(s) -
Silvestru Sever Dragomir
Publication year - 2020
Publication title -
bulletin of the "transilvania" university of braşov. series iii, mathematics, informatics, physics
Language(s) - English
Resource type - Journals
eISSN - 2065-216X
pISSN - 2065-2151
DOI - 10.31926/but.mif.2020.13.62.2.10
Subject(s) - mathematics , convex function , hilbert transform , jensen's inequality , inequality , pure mathematics , exponential type , regular polygon , type (biology) , convex analysis , mathematical analysis , convex optimization , geometry , statistics , ecology , spectral density , biology
In this paper we obtain some new inequalities for the finite Hilbert transform of convex functions by the use of Jensen’s integral inequality. Applications for exponential function are provided as well.