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

Kazimierz Nikodem; Teresa Rajba

doi:10.2478/amsil-2020-0017

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

Annales Mathematicae Silesianae

Volume 34 (2020): Issue 1 (July 2020)

By: Kazimierz Nikodem and Teresa Rajba

Open Access

|Jul 2020

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2020-0017 | Journal eISSN: 2391-4238 (formerly 0860-2107) | Journal ISSN: 0860-2107

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Language: English

Page range: 123 - 132

Submitted on: Jul 6, 2019

Accepted on: Jun 28, 2020

Published on: Jul 16, 2020

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Keywords:

Ohlin’s lemma,

stochastic ordering,

Levin–Stečkin theorem,

strongly convex functions,

Hermite–Hadamard inequalities

MSC:

26A51,

39B62,

26D15

Related subjects:

Mathematics,

General mathematics

© 2020 Kazimierz Nikodem, Teresa Rajba, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 34 (2020): Issue 1 (July 2020)