Embedding and Approximation Theories in the Context of Computational (Numerical) Diameter andInternal Problems of the Theory of Functions


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Authors

  • N. Temirgaliyev Institute of Theoretical Mathematics and Scientific Computations of the L. N. Gumilyov Eurasian National University

Keywords:

The Computational (numerical) diameter, mbedding theory, pproximation Theory, asses and spacesof functions, module of smoothness, best approximations

Abstract

The Computational (numerical) diameter, as we see it, is quite distinctly at the level "For all times!" formulates the main tasks of the Approximation Theory, Computational Mathematics and Numerical Analysis with theaccompanying computer service maintenance. Moreover, already at the task formulation stage, the corresponding unim-provable theorems of the theory of embeddings are among the first requirements for the correctness of the statement. Atthe same time, as P.L. Ulyanov claimed, that "internal problems" were in the Embedding Theorems and ApproximationTheory. This article is devoted to this.

Published

2018-12-30

How to Cite

Temirgaliyev Н. (2018). Embedding and Approximation Theories in the Context of Computational (Numerical) Diameter andInternal Problems of the Theory of Functions. BULLETIN OF THE L.N. GUMILYOV EURASIAN NATIONAL UNIVERSITY. Mathematics. Computer Science. Mechanics Series, 125(4), 8–68. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/31

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