Author: "Hayotov, A.R." / Topic: sobolev space - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Hayotov, A.R." Topic sobolev space

Author: Akhmedov, D.M., Hayotov, A.R., and Shadimetov, Kh.M.
Subjects: *CAUCHY integrals, *GAUSSIAN quadrature formulas, *APPROXIMATION theory, *DERIVATIVES (Mathematics), *COEFFICIENTS (Statistics)
Abstract: In the present paper in L 2 ( m ) ( 0 , 1 ) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained. Some numerical results are presented. [ABSTRACT FROM AUTHOR]
Published: 2018
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Author: Shadimetov, Kh.M., Hayotov, A.R., and Akhmedov, D.M.
Subjects: *OPTIMAL control theory, *CAUCHY problem, *MATHEMATICAL singularities, *APPROXIMATION theory, *MATHEMATICAL formulas
Abstract: In the present paper in L 2 ( m ) ( − 1 , 1 ) space the optimal quadrature formula is constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained. [ABSTRACT FROM AUTHOR]
Published: 2015
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Author: Shadimetov, Kh.M. and Hayotov, A.R.
Subjects: *GAUSSIAN quadrature formulas, *SOBOLEV spaces, *ERROR analysis in mathematics, *FUNCTIONAL analysis, *NATURAL numbers, *NUMERICAL analysis
Abstract: Abstract: In the Sobolev space optimal quadrature formulas of the form with the nodes are investigated. For optimal coefficients explicit forms are obtained and the norm of the error functional is calculated for any natural numbers and . In particular, in the case and for optimal quadrature formulas with positive coefficients are numerically obtained and some of them are compared with well-known optimal formulas. [ABSTRACT FROM AUTHOR]
Published: 2011
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