Optimal quadrature forrrmulas for approximate solution of the Abel integral equation.

Authors :: Shadimetov, Kh. M.
Daliyev, B. S.
Source :: Uzbek Mathematical Journal; 2020, Issue 2, p157-163, 7p
Publication Year :: 2020
Abstract: The work is devoted to construction of optimal quadrature formulas for approximate solution of the Abel generalized integral equation. Here for optimal coefficients the system of linear equations is obtained. The existence and uniqueness of the solution for the obtained system are studied. [ABSTRACT FROM AUTHOR]

Subjects :: INTEGRAL equations
GENERALIZED integrals
GAUSSIAN quadrature formulas
LINEAR systems
SOBOLEV spaces

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