Jensen-Type Inequalities for (<i>h</i>, <i>g</i>; <i>m</i>)-Convex Functions

Jensen-Type Inequalities for (<i>h</i>, <i>g</i>; <i>m</i>)-Convex Functions

Jensen-type inequalities for the recently introduced new class of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>h</mi><mo>,</mo><mi>g</mi><...

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Bibliographic Details
Main Author: Maja Andrić
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
convex function
Schur inequality
Jensen inequality
Online Access:https://www.mdpi.com/2227-7390/9/24/3312
Description
Summary:Jensen-type inequalities for the recently introduced new class of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>h</mi><mo>,</mo><mi>g</mi><mo>;</mo><mi>m</mi><mo>)</mo></mrow></semantics></math></inline-formula>-convex functions are obtained, and certain special results are indicated. These results generalize and extend corresponding inequalities for the classes of convex functions that already exist in the literature. Schur-type inequalities are given.
ISSN:2227-7390

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