<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Ohlin and Levin\u2013Stečkin-Type Results for Strongly Convex Functions"}

Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known...

Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions

Published Online: Jul 16, 2020

Page range: 123 - 132

Received: Jul 06, 2019

Accepted: Jun 28, 2020

DOI: https://doi.org/10.2478/amsil-2020-0017

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

© 2020 Kazimierz Nikodem et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions

Published Online: Jul 16, 2020

Page range: 123 - 132

Received: Jul 06, 2019

Accepted: Jun 28, 2020

DOI: https://doi.org/10.2478/amsil-2020-0017

KeywordsOhlin’s lemma, stochastic ordering, Levin–Stečkin theorem, strongly convex functions, Hermite–Hadamard inequalities

© 2020 Kazimierz Nikodem et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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