Abstract
The Euler formula is used with functions possessing various convexity and concavity properties to derive inequalities pertinent to numerical integration.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
I.S. Berezin and N.P. Zhidkov: ‘Computing methods, Vol. I’, Pergamon Press, Oxford—London—Edinburgh—New York—Paris—Frankfurt, 1965.
Lj. Dedié, C.E.M. Pearce and J. Pearie: ‘Hadamard and DragomirAgarwal inequalities, higher-order convexity and the Euler formula’, J. Korean Math. Soc 38 (2001), 1235–1243.
Lj. Dedié, C.E.M. Pearce and J. Pecarié: ‘The Euler formulae and convex functions’, Math. Inequal. Appl 3 No. 2 (2000), 211–221.
Lj. Dedié, M. Matie and J. Pecarié: ‘On Euler—Simpson formulae’, PanAmer. Math. J 11 No. 2 (2001), 47–64.
Lj. Dedié, M. Matié and J. Pecarié: ‘On dual Euler—Simpson formulae’, Bull. Belg. Math. Soc 8 (2001), 479–504.
Lj. Dedié, M. Matié, J. Pecarié and A. Vukelie: ‘On Euler—Simpson 3/8 formulae’ (submited).
Lj. Dedié, M. Matir and J. Pecarié: ‘On Euler—Maclaurin formulae’, Math. Inequal. Appl (to appear).
S.S. Dragomir and R.P. Agarwal: ‘Two inequalities for differentiable mappings and applications to special means of real numbers and to trapesoidal formula’, Appl. Mat. Lett 11 No. 5 (1998), 91–95.
V.I. Krylov: ‘Approximate calculation of integrals’, The MacMillan Comp., New York, 1962.
M. Matié, C.E.M. Pearce and J. Pecarié: ‘Two-point formulae of Euler type’, ANZIAM J (to appear).
C.E.M. Pearce and J. Pdaric: ‘Inequalities for differentiable mappings and applications to special means and quadrature formulas’, Appl. Math. Lett 13 (2000), 51–55.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Pečarić, J., Vukelić, A. (2003). Hadamard and Dragomir-Agarwal Inequalities, the Euler Formulae and Convex Functions. In: Rassias, T.M. (eds) Functional Equations, Inequalities and Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0225-6_8
Download citation
DOI: https://doi.org/10.1007/978-94-017-0225-6_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6406-6
Online ISBN: 978-94-017-0225-6
eBook Packages: Springer Book Archive