Inequalities generated by chains of Jensen inequalities for convex functions
Wang, Liang-Cheng ; Zhang, Xu
Kodai Math. J., Tome 27 (2004) no. 1, p. 114-133 / Harvested from Project Euclid
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In this paper, we study the monotonicity of some weighted differences between any two terms in chains of Jensen's inequalities for convex functions. The problem is reduced to the solvability of some weight equations or weight inequalities. Our proofs are based on the classical Jensen's inequality and some elementary identity involved combinatorial numbers.
Publié le : 2004-06-14
Classification:  
@article{1093351319,
     author = {Wang, Liang-Cheng and Zhang, Xu},
     title = {Inequalities generated by chains of Jensen inequalities for convex functions},
     journal = {Kodai Math. J.},
     volume = {27},
     number = {1},
     year = {2004},
     pages = { 114-133},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1093351319}
}

Wang, Liang-Cheng; Zhang, Xu. Inequalities generated by chains of Jensen inequalities for convex functions. Kodai Math. J., Tome 27 (2004) no. 1, pp.  114-133. http://gdmltest.u-ga.fr/item/1093351319/