Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with Applications
Integral inequalities concerned with convexity have many applications in several fields of mathematics in which symmetry plays an important role. In the theory of convexity, there exist strong connections between convexity and symmetry. If we are working on one of the concepts, then it can be applie...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/2/410 |
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| author | Kin Keung Lai Shashi Kant Mishra Vandana Singh |
| author_facet | Kin Keung Lai Shashi Kant Mishra Vandana Singh |
| author_sort | Kin Keung Lai |
| collection | DOAJ |
| description | Integral inequalities concerned with convexity have many applications in several fields of mathematics in which symmetry plays an important role. In the theory of convexity, there exist strong connections between convexity and symmetry. If we are working on one of the concepts, then it can be applied to the other of them. In this paper, we establish some novel generalizations of Ostrowski type inequalities for exponentially s-preinvex and s-preinvex functions on time scale by using Hölder inequality and Montgomery Identity. We also obtain applications to some special means. These results are motivated by the symmetric results obtained in the recent article by Abbasi and Anwar in 2022 on Ostrowski type inequalities for exponentially s-convex functions and s-convex functions on time scale. Moreover, we discuss several special cases of the results obtained in this paper. |
| first_indexed | 2024-03-11T08:05:00Z |
| format | Article |
| id | doaj.art-833d9bf3ab9045bd8a9a13b2c6b3036b |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T08:05:00Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-833d9bf3ab9045bd8a9a13b2c6b3036b2023-11-16T23:32:57ZengMDPI AGSymmetry2073-89942023-02-0115241010.3390/sym15020410Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with ApplicationsKin Keung Lai0Shashi Kant Mishra1Vandana Singh2International Business School, Shaanxi Normal University, Xi’an 710119, ChinaDepartment of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, IndiaIntegral inequalities concerned with convexity have many applications in several fields of mathematics in which symmetry plays an important role. In the theory of convexity, there exist strong connections between convexity and symmetry. If we are working on one of the concepts, then it can be applied to the other of them. In this paper, we establish some novel generalizations of Ostrowski type inequalities for exponentially s-preinvex and s-preinvex functions on time scale by using Hölder inequality and Montgomery Identity. We also obtain applications to some special means. These results are motivated by the symmetric results obtained in the recent article by Abbasi and Anwar in 2022 on Ostrowski type inequalities for exponentially s-convex functions and s-convex functions on time scale. Moreover, we discuss several special cases of the results obtained in this paper.https://www.mdpi.com/2073-8994/15/2/410Ostrowski type inequalitiess-preinvex functionsexponentially s-preinvex functionstime scales |
| spellingShingle | Kin Keung Lai Shashi Kant Mishra Vandana Singh Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with Applications Symmetry Ostrowski type inequalities s-preinvex functions exponentially s-preinvex functions time scales |
| title | Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with Applications |
| title_full | Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with Applications |
| title_fullStr | Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with Applications |
| title_full_unstemmed | Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with Applications |
| title_short | Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with Applications |
| title_sort | ostrowski type inequalities via some exponentially s preinvex functions on time scales with applications |
| topic | Ostrowski type inequalities s-preinvex functions exponentially s-preinvex functions time scales |
| url | https://www.mdpi.com/2073-8994/15/2/410 |
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