Bellman–Steffensen type inequalities

Bellman–Steffensen type inequalities

Abstract 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–Steffe...

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Bibliographic Details
Main Authors: Julije Jakšetić, Josip Pečarić, Ksenija Smoljak Kalamir
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Journal of Inequalities and Applications
Subjects:
Steffensen’s inequality
Bellman–Steffensen type inequality
Measure theory
Exponential convexity
Online Access:http://link.springer.com/article/10.1186/s13660-018-1882-9

Internet

http://link.springer.com/article/10.1186/s13660-018-1882-9

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