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Weighted Simpson-like type inequalities for quasi-convex functions.
- Source :
-
Journal of Applied Analysis . Dec2023, Vol. 29 Issue 2, p313-322. 10p. - Publication Year :
- 2023
-
Abstract
- In this paper, by considering the identity established by Luo et al. in [C. Luo, T.-S. Du, M. Kunt and Y. Zhang, Certain new bounds considering the weighted Simpson-like type inequality and applications, J. Inequal. Appl. 2018 2018, Paper No. 332] and under the assumption of the quasi-convexity of the first derivative, we establish some new error estimates of the Simpson-like type inequalities. We also discuss the case where the first derivative satisfies the Hölder condition. At the end, we provide some applications to special means. The obtained results represent a continuation of the above-mentioned paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOLDER spaces
*CONVEX functions
Subjects
Details
- Language :
- English
- ISSN :
- 14256908
- Volume :
- 29
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 173777191
- Full Text :
- https://doi.org/10.1515/jaa-2022-1000