Ohlin and Levin-Stečkin-type results for strongly convex functions



Abstract

Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known inequalities related with strongly convex functions in an alternative and unified way is presented.


Keywords

Ohlin’s lemma; stochastic ordering; Levin-Stečkin theorem; strongly convex functions; Hermite–Hadamard inequalities

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Published : 2020-07-16


NikodemK., & RajbaT. (2020). Ohlin and Levin-Stečkin-type results for strongly convex functions. Annales Mathematicae Silesianae, 34(1), 123-132. Retrieved from https://www.journals.us.edu.pl/index.php/AMSIL/article/view/13637

Kazimierz Nikodem  knikodem@ath.bielsko.pl
Katedra Matematyki, Akademia Techniczno-Humanistyczna w Bielsku-Białej  Poland
https://orcid.org/0000-0001-9458-2272
Teresa Rajba 
Katedra Matematyki, Akademia Techniczno-Humanistyczna w Bielsku-Białej  Poland



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