Grüss–Ostrowski inequalities and bounded variation
In this note, we establish corresponding Grüss–Ostrowski-type inequalities for functions with bounded variation. As an application, we provide some estimates for the error in numerical integration rules and estimation for the cumulative distribution function of a given random variable.
Authors
- Karol Gryszka (ORCID: https://orcid.org/0000-0002-3258-3330)
Institutions
- Uniwersytet Komisji Edukacji Narodowej w Krakowie (PL)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2025-10-16
- DOI
- https://doi.org/10.1186/s13660-025-03297-4
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00