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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 3, Pages 9–21
(Mi vmj509)
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Error inequalities for some new quadrature formulas with weight involving $n$ knots and the $L_p$-norm of the $m$-th derivative on time scales
P. T. Dunga, N. T. Chungb, V. N. Huyc
a Department of Mathematic, Faculty of Information Technology, Le Quy Don Technical University, 100 Hoang Quoc Viet street, Cau Giay District, Ha Noi, Vietnam
b Department of Mathematics, Quang Binh University, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam
c Department of Mathematics, College of Science, Vietnam National University, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
Abstract:
In this paper we generalize the Ostrowski inequality on time scales for $n$ points and the $L_p$ norm of $m$-th derivative, where $m,n\in\mathbb N$ and $p\in[1,+\infty]$.
Key words:
error inequalities, $n$ knots, time scales.
Received: 29.11.2013
Citation:
P. T. Dung, N. T. Chung, V. N. Huy, “Error inequalities for some new quadrature formulas with weight involving $n$ knots and the $L_p$-norm of the $m$-th derivative on time scales”, Vladikavkaz. Mat. Zh., 16:3 (2014), 9–21
Linking options:
https://www.mathnet.ru/eng/vmj509 https://www.mathnet.ru/eng/vmj/v16/i3/p9
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| Abstract page: | 189 | | Full-text PDF : | 63 | | References: | 37 |
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