We obtain exponentially accurate Fourier series for nonperiodic functions on the interval [−1, 1] by extending these functions to periodic functions on a larger domain. The series may be evaluated, ...

The topics of orthogonality and Fourier series occupy a central position in analysis. Nevertheless, there is surprisingly little statistical literature, with the exception of that of time series and ...

Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...

Description: Boundary-value problems in various fields of mathematical physics and engineering. Basic techniques of solving boundary-value problems of partial differential equations by employing the ...

Orthogonal moments have emerged as robust mathematical descriptors in image analysis and pattern recognition, offering a compact and invariant representation of image features. By decomposing images ...