Bellman–Steffensen type inequalities

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...

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Detalles Bibliográficos
Autores principales: Jakšetić, Julije, Pečarić, Josip, Smoljak Kalamir, Ksenija
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208619/
https://www.ncbi.nlm.nih.gov/pubmed/30839733
http://dx.doi.org/10.1186/s13660-018-1882-9
Descripción
Sumario: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.

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