Inequalities for differentiable mappings with application to special meansand quadrature formulae

Authors
Pearce, CEM Pecaric, J
Citation
Cem. Pearce et J. Pecaric, Inequalities for differentiable mappings with application to special meansand quadrature formulae, APPL MATH L, 13(2), 2000, pp. 51-55
Citations number
2
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
13
Issue
2
Year of publication
2000
Pages
51 - 55
Database
ISI
SICI code
0893-9659(200002)13:2<51:IFDMWA>2.0.ZU;2-I
Abstract
Improvements are obtained to some recent error estimates of Dragomir and Ag arwal, based on convexity, for the trapezoidal formula. Corresponding estim ates are established for the midpoint formula. A parallel development is ma de based on concavity. (C) 2000 Elsevier Science Ltd. All rights reserved.