A new form of trigonometric orthogonality and Gaussian-type quadrature
نویسندگان
چکیده
منابع مشابه
Trigonometric and Gaussian Quadrature
Some relationships are established between trigonometric quadrature and various classical quadrature formulas. In particular Gauss-Legendre quadrature is shown to be a limiting case of trigonometric quadrature. In an earlier paper [1] it was noted that there exist trigonometric and exponential analogs of Gaussian quadrature formulas. We now extend those results to show several interesting featu...
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Trigonometric Gaussian quadrature on subintervals of the period
We construct a quadrature formula with n+ 1 angles and positive weights, exact in the (2n+1)-dimensional space of trigonometric polynomials of degree ≤ n on intervals with length smaller than 2π. We apply the formula to the construction of product Gaussian quadrature rules on circular sectors, zones, segments and lenses. 2000 AMS subject classification: 65D32.
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In this paper we give error bound for quadrature rules of Gaussian type for trigonometric polynomials with respect to the weight function w(x) = 1+cosx, x ∈ (−π, π), for 2π-periodic integrand, analytic in a circular domain. Obtained theoretical bound is checked and illustrated on some numerical examples.
متن کاملSubperiodic trigonometric interpolation and quadrature
We study theoretically and numerically trigonometric interpolation on symmetric subintervals of [−π, π], based on a family of Chebyshevlike angular nodes (subperiodic interpolation). Their Lebesgue constant increases logarithmically in the degree, and the associated Fejérlike trigonometric quadrature formula has positive weights. Applications are given to the computation of the equilibrium meas...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1976
ISSN: 0377-0427
DOI: 10.1016/0771-050x(76)90045-0