A quadrature rule as simple as the classical Gauss formula, with a lower computational cost and having the same convergence order of best weighted polynomial approximation in L 1 is constructed to approximate integrals on unbounded intervals. An analogous problem is discussed in the case of Lagrange
Approximation of unbounded functions on unbounded interval
β Scribed by T. Hermann
- Publisher
- Akadmiai Kiad
- Year
- 1977
- Tongue
- English
- Weight
- 217 KB
- Volume
- 29
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
Given a function analytic in an unbounded domain of \(\mathbb{C}^{n}\) with certain estimates of growth, we construct an entire function approximating it with a certain rate in some inner domain and give estimates of growth of the approximating function. This extends well-known results of M. V. Keld
## 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