本文中,我们研究了第二类s-凸函数,把凸函数的子母定理推广到s-凸函数的相应形式,由此证明了Ky-Fan型不等式,Milne型不等式。 In this paper we study the s-Convex Functions of the second type. We show that a master theorem holds for the s-Convex Functions, and we then apply it to obtain Ky-Fan type inequalities and Milne type inequalities.
凸函数,第二类s-凸函数,子母定理,Milne型不等式,Ky-Fan型不等式, Convex Functions S-Convex Functions of the Second Type Master Theorem Milne Type Inequalities Ky-Fan Type Inequalities关于第二类s-凸函数的注记
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http://rgmir.vu.edu.au/SSDragomirWeb.htmlGodunova, E.K. (1967) Convexity of Complex Functions and Its Use in Proving Inequalities (in Russian). Matematicheskie Zametiki, Vol. 1, 495-500. (English Translation: Mathematical Notes, Vol. 1, 326-329).
<br>http://dx.doi.org/10.1007/BF01095554Woeginger, G.J. (2009) When Cauchy and Holder Met Minkowski: A Tour through Well-Known Inequalities. Mathematics Magazine, 82, 202-207. <br>http://dx.doi.org/10.4169/193009809X468814