<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

Publicado en línea: 16 jul 2020

Páginas: 123 - 132

Recibido: 06 jul 2019

Aceptado: 28 jun 2020

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

Palabras clave
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

Publicado en línea: 16 jul 2020

Páginas: 123 - 132

Recibido: 06 jul 2019

Aceptado: 28 jun 2020

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

Palabras claveOhlin’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.

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