The weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess function

Abstract Motivated by Pečarić et al. in (J. Math. Inequal. 11(2):543–5502017), we established here weighted discrete dynamic inequalities for the difference of second divided difference of 4-convex functions. Further we extend and unify the two inequalities, by establishing the theory of n-convexity...

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Main Authors:	Hira Ashraf Baig, Naveed Ahmad
Format:	Article
Language:	English
Published:	SpringerOpen 2020-06-01
Series:	Journal of Inequalities and Applications
Subjects:	The weighted delta-integral estimates 4-convex function Time scales
Online Access:	http://link.springer.com/article/10.1186/s13660-020-02435-4

id	doaj-2c55eb8afe3941d8b4d0e3629d92bca4
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spelling	doaj-2c55eb8afe3941d8b4d0e3629d92bca42020-11-25T03:06:43ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-06-012020111710.1186/s13660-020-02435-4The weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess functionHira Ashraf Baig0Naveed Ahmad1Department of Mathematical Sciences, Institute of Business AdministrationDepartment of Mathematical Sciences, Institute of Business AdministrationAbstract Motivated by Pečarić et al. in (J. Math. Inequal. 11(2):543–5502017), we established here weighted discrete dynamic inequalities for the difference of second divided difference of 4-convex functions. Further we extend and unify the two inequalities, by establishing the theory of n-convexity on time scales having constant graininess function.http://link.springer.com/article/10.1186/s13660-020-02435-4The weighted delta-integral estimates4-convex functionTime scales
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hira Ashraf Baig Naveed Ahmad
spellingShingle	Hira Ashraf Baig Naveed Ahmad The weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess function Journal of Inequalities and Applications The weighted delta-integral estimates 4-convex function Time scales
author_facet	Hira Ashraf Baig Naveed Ahmad
author_sort	Hira Ashraf Baig
title	The weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess function
title_short	The weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess function
title_full	The weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess function
title_fullStr	The weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess function
title_full_unstemmed	The weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess function
title_sort	weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess function
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2020-06-01
description	Abstract Motivated by Pečarić et al. in (J. Math. Inequal. 11(2):543–5502017), we established here weighted discrete dynamic inequalities for the difference of second divided difference of 4-convex functions. Further we extend and unify the two inequalities, by establishing the theory of n-convexity on time scales having constant graininess function.
topic	The weighted delta-integral estimates 4-convex function Time scales
url	http://link.springer.com/article/10.1186/s13660-020-02435-4
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The weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess function

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