Bellman-Steffensen type inequalities

作者：Jakšetić J, Pečarić J, Smoljak Kalamir K · 发表于：Journal of inequalities and applications · 年份：2018 · DOI：10.1186/s13660-018-1882-9

In this paper some Bellman-Steffensen type inequalities are generalized for positive measures. Using sublinearity of a class of convex functions and Jensen's inequality, nonnormalized versions of Steffensen's inequality are obtained. Further, linear functionals, from obtained Bellman-Steffensen type inequalities, are produced and their action on families of exponentially convex functions is studied.