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
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 3, pp. 9-21
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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 $p\in[1,+\infty]$.
@article{VMJ_2014_16_3_a1,
author = {P. T. Dung and N. T. Chung and V. N. Huy},
title = {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},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {9--21},
publisher = {mathdoc},
volume = {16},
number = {3},
year = {2014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_3_a1/}
}
TY - JOUR AU - P. T. Dung AU - N. T. Chung AU - V. N. Huy TI - 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 JO - Vladikavkazskij matematičeskij žurnal PY - 2014 SP - 9 EP - 21 VL - 16 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2014_16_3_a1/ LA - en ID - VMJ_2014_16_3_a1 ER -
%0 Journal Article %A P. T. Dung %A N. T. Chung %A V. N. Huy %T 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 %J Vladikavkazskij matematičeskij žurnal %D 2014 %P 9-21 %V 16 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMJ_2014_16_3_a1/ %G en %F VMJ_2014_16_3_a1
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. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 3, pp. 9-21. http://geodesic.mathdoc.fr/item/VMJ_2014_16_3_a1/