Results 31 to 40 of about 44,437 (210)
The Sufficient Conditions for Orthogonal Matching Pursuit to Exactly Reconstruct Sparse Polynomials
Mathematics, 2022 Orthogonal matching pursuit (OMP for short) is a classical method for sparse signal recovery in compressed sensing. In this paper, we consider the application of OMP to reconstruct sparse polynomials generated by uniformly bounded orthonormal systems ...
Aitong Huang, Renzhong Feng, Andong Wang
doaj +1 more source
Collocation Orthonormal Bernstein Polynomials Method for Solving Integral Equations [PDF]
Engineering and Technology Journal, 2015 In this paper, we use a combination of Orthonormal Bernstein functions on the interval [0,1] for degree m=5,and 6 to produce anew approach implementing Bernstein operational matrix of derivative as a method for the numerical solution of linear Fredholm ...
Suha. N. Shihab +2 more
doaj +1 more source
Orthonormal polynomial wavelets on the interval [PDF]
Proceedings of the American Mathematical Society, 2005 We use special functions and orthonormal wavelet bases on the real line to construct wavelet-like bases. With these wavelets we can construct polynomial bases on the interval; moreover, we can use them for the numerical resolution of degenerate elliptic operators.
Dai, Dao-Qing, Lin, Wei
openaire +1 more source
Time and band limiting for matrix valued functions: an integral and a commuting differential operator [PDF]
, 2017 The problem of recovering a signal of finite duration from a piece of its Fourier transform was solved at Bell Labs in the $1960$'s, by exploiting a "miracle": a certain naturally appearing integral operator commutes with an explicit differential one ...
Grünbaum, F. Alberto +2 more
core +2 more sources
On the Complex Zeros of Some Families of Orthogonal Polynomials
Abstract and Applied Analysis, 2010 The complex zeros of the orthogonal Laguerre polynomials 𝐿𝑛(𝑎)(𝑥) for ...
Eugenia N. Petropoulou
doaj +1 more source
Journal of Inequalities and Applications, 2010 Let , and let be an even function. In this paper, we consider the exponential-type weights , and the orthonormal polynomials of degree with respect to .
Sakai R, Jung HS
doaj +2 more sources
Chebyshev, Legendre, Hermite and other orthonormal polynomials in D-dimensions
, 2017 We propose a general method to construct symmetric tensor polynomials in the D-dimensional Euclidean space which are orthonormal under a general weight.
Coelho, Rodrigo C. V., Doria, Mauro M.
core +1 more source
Orthonormal polynomials with generalized Freud-type weights
Journal of Approximation Theory, 2003 The authors study polynomials, orthonormal with respect to a generalized Freud-type weight \(W_{rQ}^2(x)=| x| ^{2r}\exp(-2Q(x)),\) where \(r>-1/2\) and \(\exp(-2Q(x))\) is a Freud weight. They prove infinite-finite range inequalities, estimates of Christoffel functions, the largest zeros and spacing of zeros for those orthonormal polynomials.
Kasuga, T., Sakai, R.
openaire +2 more sources
Orthonormal Polynomial Expansions and Lognormal Sum Densities [PDF]
, 2019 Approximations for an unknown density $g$ in terms of a reference density $f_ $ and its associated orthonormal polynomials are discussed. The main application is the approximation of the density $f$ of a sum $S$ of lognormals which may have different variances or be dependent.
Asmussen, Søren +2 more
openaire +5 more sources
Orthonormal polynomial basis in local Dirichlet spaces
Acta Scientiarum Mathematicarum, 2021 We provide an orthogonal basis of polynomials for the local Dirichlet space $\mathcal D_\zeta$. These polynomials have numerous interesting features and a very unique algebraic pattern. We obtain the recurrence relation, the generating function, a simple formula for their norm, and explicit formulae for the distance and the orthogonal projection onto ...
Fricain, Emmanuel, Mashreghi, Javad
openaire +2 more sources