Abstract and Applied Analysis
Volume 2009 (2009), Article ID 165194, 19 pages
doi:10.1155/2009/165194
Review Article

S. N. Bernstein Type Estimations in the Mean on the Curves in a Complex Plane

J. I. Mamedkhanov and I. B. Dadashova

Institute of Mathematics and Mechanics, Baku State University, 370148 Baku, Azerbaijan

Received 3 June 2009; Accepted 3 August 2009

Academic Editor: John Rassias

Copyright © 2009 J. I. Mamedkhanov and I. B. Dadashova. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The present paper discusses in the metric Lp S. N. Bernstein type inequalities of the most general kind on very general accessible classes of curves in a complex plane. The obtained estimations, generally speaking, are not improvable.