Optimal Cubature Formulas on Classes of Periodic Functions in Several Variables

Author:

Bazarkhanov D. B.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference38 articles.

1. N. S. Bakhvalov, “On the approximate calculation of multiple integrals,” Vestn. Mosk. Univ., Ser. 1: Mat., Mekh., Astron., Fiz., Khim., No. 4, 3–18 (1959).

2. N. S. Bakhvalov, “Optimal convergence bounds for quadrature processes and integration methods of Monte Carlo type for classes of functions,” Zh. Vychisl. Mat. Mat. Fiz. 4 (4, Suppl.), 5–63 (1964).

3. N. S. Bakhvalov, “A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative,” Math. Notes 12 (6), 833–838 (1972) [transl. from Mat. Zametki 12 (6), 655–664 (1972)].

4. D. B. Bazarkhanov, “Characterizations of the Nikol’skii–Besov and Lizorkin–Triebel function spaces of mixed smoothness,” Proc. Steklov Inst. Math. 243, 46–58 (2003) [transl. from Tr. Mat. Inst. Steklova 243, 53–65 (2003)].

5. D. B. Bazarkhanov, “Equivalent (quasi)norms for certain function spaces of generalized mixed smoothness,” Proc. Steklov Inst. Math. 248, 21–34 (2005) [transl. from Tr. Mat. Inst. Steklova 248, 26–39 (2005)].

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