Results 1 to 10 of about 264 (60)
Detection of Edges in Spectral Data II. Nonlinear Enhancement [PDF]
We discuss a general framework for recovering edges in piecewise smooth functions with finitely many jump discontinuities, where $[f](x):=f(x+)-f(x-) \neq 0$. Our approach is based on two main aspects--localization using appropriate concentration kernels
Anne Gelb, Eitan Tadmor
exaly +4 more sources
ESPRIT for Multidimensional General Grids
We present a new method for complex frequency estimation in several variables, extending the classical (1d) ESPRIT-algorithm. We also consider how to work with data sampled on non-standard domains (i.e going beyond multi-rectangles)
Fredrik Andersson, Marcus Carlsson
exaly +3 more sources
Large gap asymptotics for the generating function of the sine point process
Abstract We consider the generating function of the sine point process on m consecutive intervals. It can be written as a Fredholm determinant with discontinuities, or equivalently as the convergent series ∑k1,…,km⩾0P∩j=1m#{pointsinthejthinterval}=kj∏j=1msjkj,where s1,…,sm∈[0,+∞). In particular, we can deduce from it joint probabilities of the counting
Christophe Charlier
wiley +1 more source
This paper describes the exceptionally precise results of 6th-order and 8th-order nonlinear boundary-value problems(BVPs). Cubic-Nonpolynomial spline(CNPS) and Cubic-polynomial spline(CNPS) are utilized to solve such types of BVPs.
Aasma Khalid +4 more
doaj +1 more source
Background – Canine atopic dermatitis (cAD) is a common inflammatory and pruritic skin disease, with various treatment options. The use of topical products containing natural ingredients has proven increasingly popular. Objective – To evaluate the effects of a spray solution containing heat‐killed Lactobacillus rhamnosus and L. reuteri, on the clinical
Domenico Santoro +3 more
wiley +1 more source
Direct and strong converse inequalities for approximation with Fejér means
We present upper and lower estimates of the error of approximation of periodic functions by Fejér means in the Lebesgue spaces L2πp{L}_{2{\pi }}^{p}. The estimates are given in terms of a K-functional for 1≤p≤∞1\le p\le \infty and in terms of the first ...
Bustamante Jorge
doaj +1 more source
Recovery of edges from spectral data with noise -- a new perspective [PDF]
We consider the problem of detecting edges in piecewise smooth functions from their N-degree spectral content, which is assumed to be corrupted by noise. There are three scales involved: the "smoothness" scale of order 1/N, the noise scale of order $\eta$
Engelberg, Shlomo, Tadmor, Eitan
core +4 more sources
Universal transforms of the geometric series under generalized Riesz methods [PDF]
In this paper generalized Riesz methods (R, p, M) of summability are considered. We prove that, to each open set O ⊂ C with adequate topological properties and each sequence {Pn} ⊂ C tending to infinity, we can associate a corresponding P-regular (R, p,
Bernal González, Luis +2 more
core +2 more sources
Density of Analytic Polynomials in Abstract Hardy Spaces [PDF]
Let $X$ be a separable Banach function space on the unit circle $\mathbb{T}$ and $H[X]$ be the abstract Hardy space built upon $X$. We show that the set of analytic polynomials is dense in $H[X]$ if the Hardy-Littlewood maximal operator is bounded on the
Karlovich, Alexei Yu.
core +2 more sources
On trigonometric approximation of functions in the Lq norm
In this paper we obtain a degree of approximation of functions in Lq by operators associated with their Fourier series using integral modulus of continuity. These results generalize many known results and are proved under less stringent conditions on the
Mohapatra Ram N., Szal Bogdan
doaj +1 more source

