Email this article Estimates for the Remainders of Certain Quadrature Formulas
- Authors: Abilov V.A.1, Abilova F.V.2, Kerimov M.K.3
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Affiliations:
- Dagestan State University
- Dagestan State Technical University
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
- Issue: Vol 58, No 4 (2018)
- Pages: 471-477
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180132
- DOI: https://doi.org/10.1134/S0965542518040024
- ID: 180132
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Abstract
Estimates of the remainders of certain quadrature formulas are obtained, in particular, of quadrature formulas with nodes that are the zeros of Chebyshev polynomials of the first kind in classes of differentiable functions characterized by a generalized modulus of continuity.
About the authors
V. A. Abilov
Dagestan State University
Author for correspondence.
Email: vladimirababil@yandex.ru
Russian Federation, Makhachkala, 367025
F. V. Abilova
Dagestan State Technical University
Email: vladimirababil@yandex.ru
Russian Federation, Makhachkala, 367015
M. K. Kerimov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
Email: vladimirababil@yandex.ru
Russian Federation, Moscow, 119991
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