منابع مشابه
Monotonic Cubic Spline Interpolation
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E-mail: [email protected] This study gives an overview of spline interpolation, a special class of interpolation methods. The focal concern discussed in this paper is that the augmentation of non-equidistant time series (using averages, previous values, or interpolation) often leads to misleading or erroneous conclusions, as the augmented time series may have different characteristics than the ...
متن کاملCubic Spline Coalescence Fractal Interpolation through Moments
This paper generalizes the classical cubic spline with the construction of the cubic spline coalescence hidden variable fractal interpolation function (CHFIF) through its moments, i.e. its second derivative at the mesh points. The second derivative of a cubic spline CHFIF is a typical fractal function that is self-affine or non-self-affine depending on the parameters of the generalized iterated...
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We construct a generalized Cr-Fractal Interpolation Function (Cr-FIF) f by prescribing any combination of r values of the derivatives f (k), k = 1, 2, . . . , r, at boundary points of the interval I = [x0, xN ]. Our approach to construction settles several questions of Barnsley and Harrington [J. Approx Theory, 57 (1989), pp. 14–34] when construction is not restricted to prescribing the values ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1971
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1971-12853-7