On Weighted Average Interpolation with Cardinal Splines
Sign Up to like & getrecommendations! Published in 2017 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-017-0112-7
Abstract: Given a sequence of data {yn}n∈Z$\{ y_{n} \} _{n \in \mathbb{Z}}$ with polynomial growth and an odd number d$d$, Schoenberg proved that there exists a unique cardinal spline f$f$ of degree d$d$ with polynomial growth… read more here.
Keywords: cardinal splines; average interpolation; weighted average; interpolation cardinal ... See more keywords
Quaternionic Fundamental Cardinal Splines: Interpolation and Sampling
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DOI: 10.1007/s11785-019-00943-w
Abstract: B-splines $B_{q}$, $\Sc q > 1$, of quaternionic order $q$, for short quaternionic B-splines, are quaternion-valued piecewise M\"{u}ntz polynomials whose scalar parts interpolate the classical Schoenberg splines $B_{n}$, $n\in\N$, with respect to degree and smoothness.… read more here.
Keywords: cardinal splines; order; quaternionic order; quaternionic fundamental ... See more keywords