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., 2014, Volume 16, Number 3,Pages 9

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. Dung^a, N. T. Chung^b, V. N. Huy^c

^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.

UDC: 517.5

MSC: 26D10

Received: 29.11.2013

Language: English