On Ostrowski type inequalities via the Taylor's formula | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 213، دوره 14، شماره 1، فروردین 2023، صفحه 2717-2729 اصل مقاله (426.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.25999.3185 | ||
| نویسندگان | ||
| Asif R. Khan1؛ Hira Nabi* 1؛ Josip Pecaric2 | ||
| 1Department of Mathematics, University of Karachi, University Road, Karachi 75270, Pakistan | ||
| 2Croation Academy of Sciences and Arts, Zagreb, Croatia | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Ostrowski inequality؛ Taylor's formula؛ Green's function؛ Integral means | ||
| مراجع | ||
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