We state some pointwise estimates for the rate of weighted approximation of a continuous function on the semiaxis by polynomials. Similarly to a previous result in C[−1, 1] due ...
A spatially adaptive image deblurring algorithm is presented for Poisson observations. It adapts to the unknown image smoothness by using local polynomial approximation (LPA) kern...
Alessandro Foi, Sakari Alenius, Mejdi Trimeche, Vl...
The local polynomial approximation (LPA) is a nonparametric regression technique with pointwise estimation in a sliding window. We apply the LPA of the argument of cos and sin in o...
Vladimir Katkovnik, Jaakko Astola, Karen O. Egiaza...
This paper addresses the point-wise estimation of differential properties of a smooth manifold S--a curve in the plane or a surface in 3D--assuming a point cloud sampled over S is...
Abstract. Hinrichs [3] recently studied multivariate integration defined over reproducing kernel Hilbert spaces in the randomized setting and for the normalized error criterion. I...