SMS scnews item created by Daniel Daners at Sat 10 Sep 2011 1712
Type: Seminar
Distribution: World
Expiry: 12 Sep 2011
Calendar1: 12 Sep 2011 1400-1500
CalLoc1: Eastern Ave 405
Auth: daners@d110-33-208-28.mas801.nsw.optusnet.com.au (ddan2237) in SMS-WASM

PDE Seminar

New Reverses of Jensen’s Inequality with Applications

Dragomir

Sever S. Dragomir
Victoria University, Melbourne & University of the Witwatersrand, South Africa
Mon 12 September 2011 2-3pm, Eastern Avenue Seminar Room 405

Abstract

The study of inequalities reflects a general tendency in modern and contemporary mathematics which may be explained by its intimate connection with the many and various aspects of the discipline and with its applications in science. There are now numerous applications of inequalities in a wide variety of fields, from mathematical physics and biology to information theory and economics. It is also clear that the impact in applications will grow even more spectacularly in the future due to the wide accessibility of the new results to various scientists who use the Internet as a primary source of information.

Taking into account the 21st Century new principle: If you are not online, then you do not exist the talk will review in its first part the impact, achievements and failures for the last 14 years of the international web-based Research Group of Mathematical Inequalities & Applications (RGMIA), that comprises more than 1300 members from all over the world. In the second part, some new reverses of the celebrated Jensenís integral inequality for convex functions with applications to continuous functions of self-adjoint operators in Hilbert spaces and fdivergence measures in information theory are presented.

Check also the PDE Seminar page. Enquiries to Florica CÓrstea or Daniel Daners.


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