On Ostrowski type inequalities via the Taylor's formula

Khan, Asif R.; Nabi, Hira; Pecaric, Josip

doi:10.22075/ijnaa.2023.25999.3185

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	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
تاریخ دریافت: 01 بهمن 1400، تاریخ پذیرش: 25 دی 1401
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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On Ostrowski type inequalities via the Taylor's formula