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A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros
(2021-08-01)
This paper deals with orthogonal polynomials and associated connection coefficients with respect to a class of Sobolev inner products on the unit circle. Under certain conditions on the parameters in the inner product it ...
Comparative study between powers of sigmoid functions, MLP-backpropagation and polynomials in function approximation problems
(Spie - Int Soc Optical Engineering, 1999-01-01)
Function approximation is a very important task in environments where the computation has to be based on extracting information from data samples in real world processes. So, the development of new mathematical model is a ...
Interlacing of zeros of orthogonal polynomials under modification of the measure
(2013-11-01)
We investigate the mutual location of the zeros of two families of orthogonal polynomials. One of the families is orthogonal with respect to the measure dμ (x), supported on the interval (a, b) and the other with respect ...
Interlacing of zeros of orthogonal polynomials under modification of the measure
(2013-11-01)
We investigate the mutual location of the zeros of two families of orthogonal polynomials. One of the families is orthogonal with respect to the measure dμ (x), supported on the interval (a, b) and the other with respect ...
A modified least squares method: Approximations on the unit circle and on (−1,1)
(2022-08-15)
The main objective in the present manuscript is to consider approximations of functions defined on the unit circle by Laurent polynomials derived from certain combinations of kernel polynomials of orthogonal polynomials ...
Better Global Polynomial Approximation for Image Rectification
(2009-11-10)
When using images to locate objects, there is the problem of correcting for distortion and misalignment in the images. An elegant way of solving this problem is to generate an error correcting function that maps points in ...
Better Global Polynomial Approximation for Image Rectification
(2011-06-14)
When using images to locate objects, there is the problem of correcting for distortion and misalignment in the images. An elegant way of solving this problem is to generate an error correcting function that maps points in ...
Comparative study between powers of sigmoid functions, MLP-backpropagation and polynomials in function approximation problems
(Spie - Int Soc Optical Engineering, 2014)
Comparative study between powers of sigmoid functions, MLP-backpropagation and polynomials in function approximation problems
(Spie - Int Soc Optical Engineering, 2014)
Multivariate sobolev-type orthogonal polynomials
(2011-12-01)
Multivariate orthogonal polynomials associated with a Sobolev-type inner product, that is, an inner product defined by adding to a measure the evaluation of the gradients in a fixed point, are studied. Orthogonal polynomials ...