A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative-Reference-Cited by-同舟云学术

A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative

Published:1972-12 Issue:6 Volume:12 Page:833-838
ISSN:0001-4346
Container-title:Mathematical Notes of the Academy of Sciences of the USSR
language:en
Short-container-title:Mathematical Notes of the Academy of Sciences of the USSR

Author:

Bakhvalov N. S.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01156040.pdf

Reference8 articles.

1. S. M. Nikol'skii, ?Functions with dominating mixed derivative satisfying a multiple Hölder condition,? Sibirsk. Matem. Zh.,4, No. 6, 1342?1364 (1963).

2. N. S. Bakhvalov, ?Imbedding theorems for classes of functions with several bounded derivatives,? Vestnik MGU,3, 7?16 (1963).

3. N. S. Bakhvalov, ?Optimal bounds for the convergence of quadrature processes and Monte Carlo type integration methods for classes of functions,? in: Numerical Methods of Solving Differential and Integral Equations and Quadrature Formulas [in Russian]. Supplement to Zh. Vychisl. Matem. i Matem. Fiz., No. 4, 5?63 (1964).

4. I. F. Sharygin, ?A lower bound for the error in quadrature formulas for classes of functions,? Zh. Vychisl. Matem. i Matem. Fiz.,3, No. 2, 370?376 (1963).

5. I. M. Sobol', Multidimensional Quadrature Formulas and Haar Functions [in Russian], Moscow (1969).

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