New orthogonality relations for the Hermite polynomials and related Hilbert spaces
β Scribed by S.J.L. van Eijndhoven; J.L.H. Meyers
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 335 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In a Hilbert space (H, & } &) is given a dense subspace W and a closed positive semidefinite quadratic form Q on W\_W. Thus W is a Hilbert space with the norm &u& 1 =(&u& 2 +Q(u)) 1Γ2 . For any closed subspace D of (W, & } & 1 ) let A(D) denote the selfadjoint operator in the closure of D in H such
The best polynomial approximation is closely related to the DitzianαTotik modulus of smoothness. In 1988, Z. Ditzian and V. Totik gave some equivalences between them and the class of Besov-type spaces B p with 1 F p F Ο± and β£, s 1 F s F Ο±. We extend these equivalences to the similar Besov-type space