Abstract
New very general multidimensional Ostrowski type inequalities are established, some of them prove to be sharp. They involve the ∥·∥∞ and ∥·∥p norms of the engaged mixed partial of nth order n≧1. In establishing them, other important multivariate results of Montgomery type identity are developed and presented for the first time.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
George A. Anastassiou, Multivariate Ostrowski type inequalities, Acta Math. Hungar., 76 (1997), 267–278.
Tom M. Apostol, Mathematical Analysis, Second Edition, Addison-Wesley Publ. Co. (Reading, MA-London-Don Mills, Ont., 1974), xvii + 492pp.
S. S. Dragomir, N. S. Barnett, and P. Cerone, An Ostrowski type inequality for double integrals in terms of L p -norms and applications in numerical integration, RGMIA Research Report Collection, Vol. 1,No. 2 (1998), pp. 79–87; http://rgmia.vut.edu.au.
A. Ostrowski, Über die Absolutabweichung einer differentierbaren Funktion von ihrem Integralmittelwert, Comment. Math. Helv., 10 (1938), 226–227.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Anastassiou, G.A. Multidimensional Ostrowski inequalities, revisited. Acta Mathematica Hungarica 97, 339–353 (2002). https://doi.org/10.1023/A:1021617416614
Issue Date:
DOI: https://doi.org/10.1023/A:1021617416614