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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 4, Pages 497–503
DOI: https://doi.org/10.7868/S0044466918040014 (Mi zvmmf10713) 		 
Estimates for the remainders of certain quadrature formulas

V. A. Abilova, F. V. Abilovab, M. K. Kerimovc

a Dagestan State University, Makhachkala, Russia
b Dagestan State Technical University, Makhachkala, Russia
c Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466918040014
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.
Key words: weight function, shift operator, generalized modulus of continuity, $N$-width, Chebyshevtype quadrature formula.
Received: 13.07.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 4, Pages 471–477
DOI: https://doi.org/10.1134/S0965542518040024
Bibliographic databases:
Document Type: Article
UDC: 519.644.7
Language: Russian
Citation: V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Estimates for the remainders of certain quadrature formulas”, Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018), 497–503; Comput. Math. Math. Phys., 58:4 (2018), 471–477
Citation in format AMSBIB
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