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Formulas for Approximate Calculation of the Chebyshev Coefficients
Russian Mathematics ( IF 0.5 ) Pub Date : 2021-03-10 , DOI: 10.3103/s1066369x21020079
S. S. Kudaibergenov , Y. Y. Nurmoldin , N. Zh. Nauryzbayev , N. Temirgaliyev

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 its 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.



中文翻译:

Chebyshev系数的近似计算公式

积分的近似计算是数学各个领域研究的共同部分,主要是在近似理论和计算数学中。

反过来,在数值积分理论中,根据被积物的特征进行区分,其规模为“正交(温育)公式”和“振荡理论”。

本文属于第二类问题,包括切比雪夫系数的近似计算。

更新日期:2021-03-10
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