On Some New Weighted Steffensen-Type Inequalities on Time Scales

The motivation of this paper is to explore some new inequalities of Steffensen-type which were demonstrated by Pečarić and Kalamir in 2014. The main idea is to investigate a class of certain inequalities by employing diamond-<inline-formula><math xmlns="http://www.w3.org/1998/Math/Math...

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Bibliographic Details
Main Authors: Ahmed A. El-Deeb, Omar Bazighifan, Jan Awrejcewicz
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/21/2670
Description
Summary:The motivation of this paper is to explore some new inequalities of Steffensen-type which were demonstrated by Pečarić and Kalamir in 2014. The main idea is to investigate a class of certain inequalities by employing diamond-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> dynamic integral on time scales. In addition, to obtain some new inequalities as special cases, we also extend our results to continuous and discrete calculations.
ISSN:2227-7390