منابع مشابه
Bivariate segment approximation and splines
The problem to determine partitions of a given reet angle which are optimal for segment approximation (e.g. by bivariate pieeewise polynomials) is investigated. We give eriteria for optimal partitions and develop algorithms for eomputing optimal partitions of eertain types. It is shown that there is a surprising relationship between various types of optimal partitions. In this way, we obtain go...
متن کاملQuick approximation of bivariate functions.
This paper presents two experiments where participants had to approximate function values at various generalization points of a square, using given function values at a small set of data points. A representative set of standard function approximation models was trained to exactly fit the function values at data points, and models' responses at generalization points were compared to those of hum...
متن کاملApproximation of bivariate copulas by patched bivariate Fréchet copulas
Bivariate Fréchet (BF) copulas characterize dependence as a mixture of three simple structures: comonotonicity, independence and countermonotonicity. They are easily interpretable but have limitations when used as approximations to general dependence structures. To improve the approximation property of the BF copulas and keep the advantage of easy interpretation, we develop a new copula approxi...
متن کاملEstimates of Approximation Error by Legendre Wavelet
This paper first introduces Legendre wavelet bases and derives their rich properties. Then these properties are applied to estimation of approximation error upper bounded in spaces [ ] ( ) C 0,1 α and [ ] ( ) N C 0,1 +α by norms 2 ⋅ and 1 ⋅ , respectively. These estimate results are valuable to solve integral-differential equations by Legendre wavelet method.
متن کاملOn the approximation power of bivariate splines
We show how to construct stable quasi-interpolation schemes in the bivariate spline spaces S r d (4) with d 3r+2 which achieve optimal approximation order. In addition to treating the usual max norm, we also give results in the L p norms, and show that the methods also approximate derivatives to optimal order. We pay special attention to the approximation constants, and show that they depend on...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Applied Mathematical Research
سال: 2017
ISSN: 2227-4324
DOI: 10.14419/ijamr.v6i4.8198