【創(chuàng)源大講堂】On strongly convex functions and related classes of functions

報(bào)告人：KazimierzNikodem教授 (Bielsko-Biala大學(xué))

報(bào)告題目：On strongly convex functions and related classes of functions(強(qiáng)凸函數(shù)及其相關(guān)函數(shù)類)

報(bào)告時(shí)間：2015年9月22日（星期二）14:30-15:30

報(bào)告地點(diǎn)：犀浦校區(qū)X2511

報(bào)告內(nèi)容簡(jiǎn)介：

Strongly convex functions are useful in optimization theory and mathematical economics. Many properties and applications of them can be found in the literature. In my talksome results on strongly convex functions and other related classes of functions obtainedby the author with co-authors in the last few years are presented. In particular, discrete and integral Jensen-type inequalities and Hermite{Hadamard{type inequalities for strongly convex functions are obtained. Counterparts of the classical Bernstain{Doetschand Sierpi_nski theorems for strongly midconvex functions are given. New characterizations of inner product spaces involving strong convexity are obtained. Some results onstrongly Wright-convex functions are presented. Strongly n-convex and Jensen n-convexfunctions are investigated. Finally, a relationship between strong convexity and generalized convexity in the sense of Beckenbach is established.

報(bào)告人簡(jiǎn)介：

KazimierzNikodem教授，1977年獲得西里西亞大學(xué)數(shù)學(xué)碩士學(xué)位；1981年獲得西里西亞大學(xué)數(shù)學(xué)博士學(xué)位；2001年被評(píng)為正教授?，F(xiàn)任Bielsko-Biala大學(xué)副校長(zhǎng)，分管科研和財(cái)務(wù)。他是迭代理論與動(dòng)力系統(tǒng)領(lǐng)域國(guó)際知名專家，是波蘭Kuczma學(xué)派的活躍人物，在凸分析、泛函方程和不等式、集值函數(shù)等方面做出了非常有影響的工作，分別在J. Convex Anal.,Proc. Amer. Math. Soc.,J. Global Optim., Banach J. Math. Anal., Nonlinear Anal., J. Math. Anal. Appl., Aequationes Math.等國(guó)際重要刊物發(fā)表學(xué)術(shù)論文80余篇。參加超過90場(chǎng)國(guó)內(nèi)外國(guó)際討論會(huì)會(huì)議，指導(dǎo)完成3篇博士論文。

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