$M_{\varphi}M_{\psi}$-convexity and separation theorems-Reference-Cited by-同舟云学术

$M_{\varphi}M_{\psi}$-convexity and separation theorems

Published:2022-05-23 Issue:1 Volume:2022 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Bombardelli Mea^ORCID,Varošanec Sanja

Abstract

AbstractA characterization of pairs of functions that can be separated by an

$M_{\varphi}M_{\psi}$

M φ M ψ -convex function and related results are obtained. Also, a Hyers–Ulam stability result for

$M_{\varphi}M_{\psi}$

M φ M ψ -convex functions is given.

Funder

University of Zagreb Faculty of Science: Sveuciliste u Zagrebu Prirodoslovno-matematicki fakultet

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-022-02797-x.pdf

Reference13 articles.

1. Adamek, M.: On a generalization of sandwich type theorems. Aequationes Math. 92, 641–647 (2018)

2. Baron, K., Matkowski, J., Nikodem, K.: A sandwich with convexity. Math. Pannon. 5(1), 139–144 (1994)

3. Borwein, D., Borwein, J., Fee, G., Girgensohn, R.: Refined convexity and special cases of the Blaschke-Santalo inequality. Math. Inequal. Appl. 4, 631–638 (2001)

4. Bracamonte, M., Giménez, J., Medina, J., Vivas-Cortez, M.: A sandwich theorem and stability result of Hyers-Ulam type for harmonically convex functions. Lect. Mat. 38, 5–18 (2017)

5. Khan, A.R., Pečarić, J., Varošanec, S.: Positivity of sums and integrals for convex functions of higher order of n variables. Math. Inequal. Appl. 19(1), 221–247 (2016)

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