International Journal of Nonlinear Analysis and Applications
On Ostrowski type inequalities via the Taylor's formula
Document Type : Research Paper
Authors
1 Department of Mathematics, University of Karachi, University Road, Karachi 75270, Pakistan
2 Croation Academy of Sciences and Arts, Zagreb, Croatia
Abstract
In the present article, our aim is to obtain new Ostrwoski type inequalities by using Taylor's formula with weighted Montgomery identity and the Green's function. The results we acquire containing the identities for the sum $\sum_{i=1}^m p_i f_{1}(\lambda_ i)$ and the integral $\int^{\nu}_{\mu} p(\xi) f_{1}(g(\xi) )\, d\xi$. We also estimate the difference of two weighted integral means for the result obtained by the Taylor formula with weighted Montgomery identity.
Keywords
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Volume 14, Issue 1
January 2023Pages 2717-2729
- Receive Date: 21 January 2022
- Accept Date: 15 January 2023