Optimal finite measurements and Gauss quadratures
نویسندگان
چکیده
منابع مشابه
Error estimates for Gauss–Turán quadratures and their Kronrod extensions
We study the kernel Kn,s(z) of the remainder term Rn,s( f ) of Gauss–Turán–Kronrod quadrature rules with respect to one of the generalized Chebyshev weight functions for analytic functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective L∞-error bounds of Gauss–Turán–Kronrod quadratures. Following Kronrod,...
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We study the kernels Kn,s(z) in the remainder terms Rn,s(f) of the Gauss-Turán quadrature formulae for analytic functions on elliptical contours with foci at ±1, when the weight ω is a generalized Chebyshev weight function. For the generalized Chebyshev weight of the first (third) kind, it is shown that the modulus of the kernel |Kn,s(z)| attains its maximum on the real axis (positive real semi...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2006
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2006.05.045