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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Autores principales:	Ahmed A. El-Deeb, Omar Bazighifan, Jan Awrejcewicz
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	diamond-α dynamic integral Steffensen’s inequality dynamic inequality time scale Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/0df64b1dad2e461890ebc736b8626f0b
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spelling	oai:doaj.org-article:0df64b1dad2e461890ebc736b8626f0b2021-11-11T18:14:19ZOn Some New Weighted Steffensen-Type Inequalities on Time Scales10.3390/math92126702227-7390https://doaj.org/article/0df64b1dad2e461890ebc736b8626f0b2021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2670https://doaj.org/toc/2227-7390The 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.Ahmed A. El-DeebOmar BazighifanJan AwrejcewiczMDPI AGarticlediamond-α dynamic integralSteffensen’s inequalitydynamic inequalitytime scaleMathematicsQA1-939ENMathematics, Vol 9, Iss 2670, p 2670 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	diamond-α dynamic integral Steffensen’s inequality dynamic inequality time scale Mathematics QA1-939
spellingShingle	diamond-α dynamic integral Steffensen’s inequality dynamic inequality time scale Mathematics QA1-939 Ahmed A. El-Deeb Omar Bazighifan Jan Awrejcewicz On Some New Weighted Steffensen-Type Inequalities on Time Scales
description	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.
format	article
author	Ahmed A. El-Deeb Omar Bazighifan Jan Awrejcewicz
author_facet	Ahmed A. El-Deeb Omar Bazighifan Jan Awrejcewicz
author_sort	Ahmed A. El-Deeb
title	On Some New Weighted Steffensen-Type Inequalities on Time Scales
title_short	On Some New Weighted Steffensen-Type Inequalities on Time Scales
title_full	On Some New Weighted Steffensen-Type Inequalities on Time Scales
title_fullStr	On Some New Weighted Steffensen-Type Inequalities on Time Scales
title_full_unstemmed	On Some New Weighted Steffensen-Type Inequalities on Time Scales
title_sort	on some new weighted steffensen-type inequalities on time scales
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0df64b1dad2e461890ebc736b8626f0b
work_keys_str_mv	AT ahmedaeldeeb onsomenewweightedsteffensentypeinequalitiesontimescales AT omarbazighifan onsomenewweightedsteffensentypeinequalitiesontimescales AT janawrejcewicz onsomenewweightedsteffensentypeinequalitiesontimescales
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On Some New Weighted Steffensen-Type Inequalities on Time Scales

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