Estimating errors of numerical approximation for periodic analytic functions
β Scribed by M. M. Chawla; R. Kress
- Publisher
- Springer Vienna
- Year
- 1977
- Tongue
- English
- Weight
- 324 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0010-485X
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π SIMILAR VOLUMES
For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points Β±1 and the sum of semi-axes > 1 for the Chebyshev weight functions of
Let S=[z # C: |Im(z)|<;] be a strip in the complex plane. H q , 1 q< , denotes the space of functions, which are analytic and 2?-periodic in S, real-valued on the real axis, and possess q-integrable boundary values. Let + be a positive measure on [0, 2?] and L p (+) be the corresponding Lebesgue spa