Results 251 to 260 of about 463,737 (318)

Notes on orthogonal polynomials for exponential weights (Root-distances. Weighted Lebesgue function)

Acta Mathematica Hungarica, 2008
We prove some results on the root-distances and the weighted Lebesgue function corresponding to orthogonal polynomials for exponential weights, where the weights are not necessarily symmetric.
P Vértesi
exaly   +3 more sources

An Orthogonal Set of Weighted Quaternionic Zernike Spherical Functions

Communication Systems and Applications, 2014
In this work, we give a brief description of the theory and properties of the three-dimensional quaternionic Zernike spherical polynomials (QZSPs). A refinement of the QZSPs to functions vanishing over the unit sphere leads to the computation of the weighted quaternionic Zernike spherical functions (WQZSFs).
Isabel Cação, João Morais
openaire   +2 more sources

A global weighted mean temperature model based on empirical orthogonal function analysis

Advances in Space Research, 2018
Qinzheng Li, Peng Chen, Xiaping Ma
exaly   +2 more sources

The greedy side of the LASSO: new algorithms for weighted sparse recovery via loss function-based orthogonal matching pursuit

Sampling Theory, Signal Processing, and Data Analysis, 2023
We propose a class of greedy algorithms for weighted sparse recovery by considering new loss function-based generalizations of Orthogonal Matching Pursuit (OMP).
Sina Mohammad-Taheri, Simone Brugiapaglia   +1 more
semanticscholar   +1 more source

Orthogonal polynomials relative to weight functions of Prudnikov type

Numerical Algorithms, 2021
Some orthogonal polynomials and their symmetric extensions with respect to the Prudnikov, the generalized Prudnikov and Prudnikov-type weight functions and their three-term recurrence relations have been investigated. The authors used the classical Chebyshev algorithm to compute the recurrence coefficients from the moments of the respective weight ...
Walter Gautschi, Gradimir V. Milovanovic
openaire   +2 more sources

Sharp estimates of the Cesàro kernels for weighted orthogonal polynomial expansions in several variables

, 2021
We study the Cesaro means of the orthogonal polynomial expansions (OPEs) with respect to the weight function ∏ i = 1 d | x i | 2 κ i on the unit sphere S d − 1 ⊂ R d for all parameters κ 1 , ⋯ , κ d > − 1 2 .
F. Dai, Yan Ge
semanticscholar   +1 more source

On the convergence of ICA algorithms with weighted orthogonal constraint

Digit. Signal Process., 2014
Jimin Ye
exaly   +2 more sources

A new approach of air pollution regionalization based on geographically weighted variations for multi-pollutants in China.

Science of the Total Environment, 2023
Air pollution regionalization is a key and necessary action to identify pollution regions for implementing control measures. Here we present a new approach called Geographically Weighted Rotation Empirical Orthogonal Function (GWREOF) for air pollution ...
P. Qiu, Lin Zhang, Xuesong Wang, Yafei Liu, Shuai Wang, Sunling Gong, Yuanhang Zhang   +6 more
semanticscholar   +1 more source

Distributional Weight Functions for Orthogonal Polynomials

SIAM Journal on Mathematical Analysis, 1978
Given any collection of real numbers $\{ \mu _i \} _{i = 0}^\infty $, called moments, satisfying a Hamburger-like condition $\Delta _n = \det [\mu _{i + j} ]_{i,j = 0}^n \ne 0$ and a growth condition $| {\mu _n } | < cM^n n!$, where c, M are constant, $n = 0,1, \cdots $, the Chebyshev polynomials $p_0 = 1$, \[p_n (x) = \left[ {{1 / {\Delta _{n - 1} }}}
Morton, Robert D., Krall, Allan M.
openaire   +2 more sources