Formulas for approximate calculation of the Chebyshev coefficients

DOI10.3103/S1066369X21020079zbMath1472.65022OpenAlexW3135321372MaRDI QIDQ2027946

S. S. Kudaibergenov, N. Zh. Nauryzbayev, Y. Y. Nurmoldin, Nurlan Temirgaliyev

Publication date: 28 May 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21020079

zbMATH Keywords

quadrature formulaChebyshev systemhighly oscillatory integraltensor product of functionals

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Numerical quadrature and cubature formulas (65D32)

Cites Work

• Orderly exact calculation of integrals of products of functions by the method of tensor products of functionals
• Application of divisor theory to the construction of tables of optimal coefficients for quadrature formulas
• APPLICATION OF DIVISOR THEORY TO THE NUMERICAL INTEGRATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES
• An application of tensor products of functionals in problems of numerical integration
• Applications of Number Theory to Numerical Analysis
• Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
• On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
• On polynomials orthogonal on several segments with indefinite weight
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