Shirokiy A.A. Prior estimation of gradients' difference and their consequences

Details
Hits: 970
Shirokiy Alexandr Alexandrovich
 
Assistant Teacher, Chair of Computer Science and Experimental Mathematics, Volgograd State University
This email address is being protected from spambots. You need JavaScript enabled to view it.
Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. This work presents estimations of gradients difference of piecewise affine approximation and C1-differentiable function which is investigated with its aid in usual metrics and surface metrics. At first separate simplexes are estimated, then consequences are formulated for triangulation of ranges of definition of class function C2.

Key words: simplex, interpolation error, Delone triangulation, acute triangulation, function’ gradient.

Creative Commons License
Prior estimation of gradients’ difference and their consequences by Shirokiy A.A. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №2 (15) 2011 pp. 94-101

Attachments:
Download this file (11_Широкий.pdf) A.A. Shirokiy
URL: https://mp.jvolsu.com/index.php/en/component/attachments/download/98		662 Downloads