Abstract
In this work, Sherman-Steffensen type inequalities for convex functions with
not necessarily non-negative coefficients are established by using Steffensen?s
conditions. The Brunk, Bellman and Olkin type inequalities are derived as
special cases of the Sherman-Steffensen inequality. The superadditivity of
the Jensen-Steffensen functional is investigated via Steffensen?s condition
for the sequence of the total sums of all entries of the involved vectors of
coeffecients. Some results of Baric et al. [2] and of Krnic et al. [11] on
the monotonicity of the functional are recovered. Finally, a
Sherman-Steffensen type inequality is shown for a row graded matrix.
Publisher
National Library of Serbia
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献