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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Online Access: | http://link.springer.com/article/10.1186/s13660-020-02435-4 |
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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 |
work_keys_str_mv |
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