Copyright © 2016 by authors and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). The ...
ABSTRACT: In [1] and some following publications, Tadmor and Gelb took up a well known property of conjugate Fourier series in 1-d, namely the property to detect jump discontinuities in given spectral ...
Function estimation over the Besov spaces under pointwise ℓr (1 ≤ r < ∞) risks is considered. Minimax rates of convergence are derived using a constrained risk inequality and wavelets. Adaptation ...
Abstract: We consider algorithms for prediction, compression and entropy estimation in a universal setup. In each case, we estimate some function of an unknown distribution p over the set of natural ...
Let an estimated function belong to a Lipschitz class of order α. Consider a minimax approach where the infimum is taken over all possible estimators and the supremum is taken over the considered ...
The aim of this paper is to study the Fréchet-Urysohn property of the space Q p (X,R) of real-valued quasicontinuous functions, defined on a Hausdorff space X , endowed with the pointwise convergence ...
Abstract: Let M be a complete simply connected manifold which is in addition Gromov hyperbolic, coercive, and roughly starlike. For a given harmonic function on M, a local Fatou Theorem and a ...
Statistical convergence and approximation theorems constitute a dynamic area in mathematical analysis, bridging classical convergence methods with probabilistic approaches that account for irregular ...
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