منابع مشابه
Monotone Rational Trigonometric Interpolation
This study is concerned with the visualization of monotone data using a piecewise C rational trigonometric interpolating scheme. Four positive shape parameters are incorporated in the structure of rational trigonometric spline. Conditions on two of these parameters are derived to attain the monotonicity of monotone data and other two are left free. Figures are used widely to exhibit that the pr...
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The aim of this paper is to investigate a multiresolution analysis of nested subspaces of trigonometric polynomials. The pair of scaling functions which span the sample spaces are fundamental functions for Hermite interpolation on a dyadic partition of nodes on the interval [0, 2π). Two wavelet functions that generate the corresponding orthogonal complementary subspaces are constructed so as to...
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...
متن کاملA discrete trigonometric interpolation method
Interpolation theory is a necessary and crucial tools for many applied engineering sciences. In this paper, we propose a new kind of 2-period interpolation of functions with period 2 at the nodes x k = x k;n = k=n; (k = 0; 1; ; 2n ? 1). We nd out the necessary and suucient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polyn...
متن کاملGeneralized Trigonometric Functions: 10744
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2019
ISSN: 0377-0427
DOI: 10.1016/j.cam.2018.08.003