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

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Shirokiy Alexandr Alexandrovich
 
Assistant Teacher, Chair of Computer Science and Experimental Mathematics, Volgograd State University
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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.

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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

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