On hermite-fourier series
Copyright policy )On hermite-fourier series
The present work of the author is a sequel to his earlier paper (*) [Acta Math. Hung. 57, No. 1/2, 169-179 (1991; Zbl 0757.41027)]. Several results relating the Hermite-Fourier series are investigated including the norm estimates for the ordinary and conjugate Abel-Poisson means. Some results of Alexits-type discussed in (*) are also generalized for the case \(p=\infty\) in this paper.
- Eötvös Loránd University Hungary
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), saturation, conjugate function, Hermite-Fourier series, norm estimates, conjugate Abel-Poisson means
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), saturation, conjugate function, Hermite-Fourier series, norm estimates, conjugate Abel-Poisson means
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