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This article is cited in 1 scientific paper (total in 1 paper)
Brief communications
Formulas for approximate calculation of the Chebyshev coefficients
S. S. Kudaibergenov, Ye. Ye. Nurmoldin, N. Zh. Nauryzbayev, N. Temirgaliyev L.N. Gumilyov Eurasian National University, 13 Kazhimukan str., Nur-Sultan, 010008 Republic of Kazakhstan
Abstract:
The approximate calculation of integrals is a common part of research in various fields of mathematics, primarily in the theory of approximations and computational mathematics. In turn, within the theory of numerical integration, distinctions take place depending on the features of the integrand, the scale of which is "Quadrature (cubature) formulas" and "Theory of oscillations". This article belongs to the second type of problems and consists in the approximate calculation of the Chebyshev coefficients.
Keywords:
quadrature formulas, oscillatory integral, Chebyshev system, tensor product of functionals.
Received: 01.10.2020 Revised: 01.10.2020 Accepted: 01.10.2020
Citation:
S. S. Kudaibergenov, Ye. Ye. Nurmoldin, N. Zh. Nauryzbayev, N. Temirgaliyev, “Formulas for approximate calculation of the Chebyshev coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 2, 79–85; Russian Math. (Iz. VUZ), 65:2 (2021), 69–74
Linking options:
https://www.mathnet.ru/eng/ivm9650 https://www.mathnet.ru/eng/ivm/y2021/i2/p79
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