Perturbation of Orthogonal Fourier Expansions
✍ Scribed by José J. Guadalupe; Mario Pérez
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 360 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
Summability of spherical h-harmonic expansions with respect to the weight function Q d j¼1 jx j j 2kj ðk j X0Þ on the unit sphere S dÀ1 is studied. The main result characterizes the critical index of summability of the Cesa`ro ðC; dÞ means of the h-harmonic expansion; it is proved that the ðC; dÞ me
## Abstract Let __d__μ(__x__) = (1 − __x__^2^)^α−1/2^__dx__,α> − 1/2, be the Gegenbauer measure on the interval [ − 1, 1] and introduce the non‐discrete Sobolev inner product where λ>0. In this paper we will prove a Cohen type inequality for Fourier expansions in terms of the polynomials orthogona