Bellman–Steffensen type inequalities

Autor: Julije Jakšetić, Josip Pečarić, Ksenija Smoljak Kalamir
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-15 (2018)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-018-1882-9
Popis: 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–Steffensen type inequalities, are produced and their action on families of exponentially convex functions is studied.
Databáze: Directory of Open Access Journals
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