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

Kazimierz Nikodem; Teresa Rajba

Published: 2020-07-16

Vol. 34 No. 1 (2020)

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

Kazimierz Nikodem

, Teresa Rajba

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

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Kazimierz Nikodem

knikodem@ath.bielsko.pl
https://orcid.org/0000-0001-9458-2272

Affiliation:

Katedra Matematyki, Akademia Techniczno-Humanistyczna w Bielsku-Białej Poland

Teresa Rajba

Affiliation:

Katedra Matematyki, Akademia Techniczno-Humanistyczna w Bielsku-Białej Poland

Vol. 34 No. 1 (2020)
Published: 2020-07-20

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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