... CorporationJournal of Inequalities and ApplicationsVolume 2010, Article ID 643768, 6 pagesdoi:10.1155/2010/643768 Research Article General Convexity of Some Functionals inSeminormed Spaces and ... “On cotypes of Banach lattices,” i n Constructive Function Theory, pp.429–441, Publishing House of the Slovak Academy of Sciences, Sofia, Bulgaria, 1983.9 T. S. Stoyanov, “Inequalities for convex ... β, for α ∈0, 1with α β 1, 1.12 the functions gt : 0, 1 → 0, 1 and r−1r−1 : 0, ∼ → 0, ∼ are convex.Then, if αi≥ 0,mi1αi 1, xi∈ X, i 1,n for i...