Simpson's formula for functions whose derivatives belong to L-p spaces

Authors
Pecaric, J Varosanec, S
Citation
J. Pecaric et S. Varosanec, Simpson's formula for functions whose derivatives belong to L-p spaces, APPL MATH L, 14(2), 2001, pp. 131-135
Citations number
8
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
14
Issue
2
Year of publication
2001
Pages
131 - 135
Database
ISI
SICI code
0893-9659(200102)14:2<131:SFFFWD>2.0.ZU;2-R
Abstract
In [1], Dragomir gave an inequality of Simpson's type for functions whose d erivatives belong to L-p spaces. Here, we generalize his results using func tions whose n(th) derivatives, n is an element of {2, 3, 4}, belong to L-p spaces. (C) 2000 Elsevier Science Ltd. All rights reserved.