On Ostrowski type inequalities via the Taylor's formula

نویسندگان
Khan, Asif R. ID 1
Nabi, Hira ID 2
Pecaric, Josip ID 3

1 Department of Mathematics, University of Karachi, University Road, Karachi 75270, Pakistan

2 Department of Mathematics, University of Karachi, University Road, Karachi 75270, Pakistan

3 Croation Academy of Sciences and Arts, Zagreb, Croatia

doi
10.22075/ijnaa.2023.25999.3185
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