A Sharp Upper Bound for the Error of Quadrature Formulas in Hilbert Space ????(????)2,????
Keywords:
quadrature formulas, the error functional, exact upper bound for error, Hilbert space, optimal coefficientsAbstract
One of the main problems of computational mathematics is the optimization of computational methods in function spaces. Optimization of computational methods has proven itself well in problems of the theory of quadrature formulas. This paper studies the problem of constructing an optimal quadrature formula in a Hilbert space. The article considers the problem of finding an exact upper bound for the error of quadrature formulas in the Hilbert space ????(????)2,???? found.
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