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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2019 Number 1, Pages 89–97 (Mi ivm9432)

This article is cited in 4 papers

Brief communications

Computational (Numerical) diameter in a context of general theory of a recovery

N. Temirgaliev, A. Zh. Zhubanysheva

L.N. Gumilyov Eurasian National University, 2 Satpaev str., Astana, 010008 Republic of Kazakhstan

Abstract: We discuss a C(N)D-statement consisting of the known and elaborating in decades C(N)D-1 statement which can be and should be interpreted as quantitative statement of approximation theory and calculus mathematics, which together with new prolongations of C(N)D-2 and -3 in aggregate is suggested as natural theoretical and computational scheme of further developments of numerical analysis.

Keywords: computational (Numerical) Diameter (C(N)D), approximation theory in quantitative statement, calculus mathematics, recovery by exact and inexact information, limiting error, new scheme of numerical analysis.

UDC: 519.6

Received: 26.09.2017
Revised: 17.07.2018
Accepted: 26.09.2018

DOI: 10.26907/0021-3446-2019-1-89-97


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:1, 79–86

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