Approximation of the unit step function by a linear combination of exponential functions
โ Scribed by J. Sullivan; L. Crone; J. Jalickee
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 362 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0021-9045
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๐ SIMILAR VOLUMES
When studying the approximation of the wave functions of the \(H\)-atom by sums of Gaussians, Klopper and Kutzelnigg [KK] and Kutzelnigg [Ku] found an asymptotic of \(\exp [-\gamma \sqrt{n}]\). The results were obtained from numerical results and justified by some asymptotic expansions in quadrature
## Abstract A unified class of linear positive operators has been defined. Using these operators some approximation estimates have been obtained for unbounded functions. For particular linear positive operators these results sharpen and improve the earlier estimates due to Fuhua Cheng (J. Approx. T