S. Bassarov; N. Tleukhanova

doi:10.32523/2077-9879-2026-17-3-81-84

New cubature formulas for Korobov spaces

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Authors

S. Bassarov Department of Fundamental Mathematics, L.N. Gumilyov Eurasian National University, 5 Munaitpasov St, 010008 Astana, Republic of Kazakhstan
N. Tleukhanova Department of Fundamental Mathematics, L.N. Gumilyov Eurasian National University, 5 Munaitpasov St, 010008 Astana, Republic of Kazakhstan

DOI:

https://doi.org/10.32523/2077-9879-2026-17-3-81-84

Keywords:

cubature formulas, multivariate numerical integration, Korobov space, periodic functions

Abstract

In this paper we present new cubature formulas for the Korobov spaces with a smoothness parameter \(\alpha > 1\) and an estimate of the worst-case error of the cubature formulas.

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Published

2026-09-30

How to Cite

Bassarov, S., & Tleukhanova, N. (2026). New cubature formulas for Korobov spaces. Eurasian Mathematical Journal, 17(3), 81–84. https://doi.org/10.32523/2077-9879-2026-17-3-81-84