analytic in a neighborhood of infinity will be approximated by Pade approximants. In a first group of results rather strong assumptions are made about the singularities of the function f to be approximated (Assumption 1.1). In a second group (Definition 1.3 and Theorem 1.7) a different type of assum
Convergence properties of sequences of functions with application to restricted derivative approximation
โ Scribed by E Kimchi; N Richter-Dyn
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 655 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0021-9045
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๐ SIMILAR VOLUMES
For self-adjoint operators having isolated cisenvalucs of finite multiplicity in the lower part of their spectrum NC prove a convergence theorem for Rayleigh-Ritz approximations under weak complctencss assumptions on the basis functions. The result is applied to CLcalculations for molecules.
The object of this paper is to prove the following theorem: Let \(Y\) be a closed subspace of the Banach space \(X,(S, \Sigma, \mu)\) a \(\sigma\)-finite measure space, \(L(S, Y)\) (respectively, \(L(S, X)\) ) the space of all strongly measurable functions from \(S\) to \(Y\) (respectively, \(X\) ),