Better bounds for an inequality of the Ostrowski type with applications

• Autorzy: Barnett N. , Dragomir S. , Sofo A.
• Języki publikacji: EN

Abstrakty

EN

In this paper we improwe a recent result by Matic, Pecaric und Ujevic [6] and apply if for special means and cumulative probability functions.

Słowa kluczowe

EN

Ostrowski's inequality; probability density functions; expectation; special means

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 3
• Strony: 533--542
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Barnett N.

• School of Communications and Informatics Victoria University of Technology PO BOX 14428 Melbourne City MC, Victoria, 8001, Australia

autor

Dragomir S.

• School of Communications and Informatics Victoria University of Technology PO BOX 14428 Melbourne City MC, Victoria, 8001, Australia

autor

Sofo A.

• School of Communications and Informatics Victoria University of Technology PO BOX 14428 Melbourne City MC, Victoria, 8001, Australia

Bibliografia

• [1] D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Inequalities for Functions and their Integrals and Derivatives, Kluwer Academic, Dordrecht, 1994.
• [2] A. M. Fink, Bounds on the derivation of a function from its averages, Czechoslovak Math. J., 42 (1992), 289-310.
• [3] G. A. Anastassiou, Ostrowski type inequalities, Proc. Amer. Math. Soc., 123 No. 12, (1995), 3775-3781.
• [4] G. A. Anastassiou, Multivariate Ostrowski type inequalities, Acta. Math. Hung., 76 No. 4, (1997), 267-278.
• [5] S. S. Dragomir and S. Wang, An inequality of Ostrowski-Grüss type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Comput. Math. Appl., 33 No. 11, (1997), 15-20.
• [6] M. Matić, J. E. Pečarić and N. Ujević, Improvement and further generalization of some inequalities of Ostrowski-Grüss type, Comput. Math. Appl., (to appear).
• [7] I. Fedotov and S. S. Dragomir, An inequality of Ostrowski's type and its applications for Simpson's rule in numerical integration and for special means, Math. Ineq. Appl., 2 (1999), 491-499.
• [8] N. S. Barnett and S. S. Dragomir, An Ostrowski type inequality for mappings whose second derivatives are bounded and applications, RGMIA Res. Rep. Coll., 1 No. 2, (1998), 69-70.