Integration by Parts Formulae for Some Trigonometric Integrals
β Scribed by Bullen, P. S.; Mukhopadhyay, S. N.
- Book ID
- 120102694
- Publisher
- Oxford University Press
- Year
- 1974
- Tongue
- English
- Weight
- 285 KB
- Volume
- s3-29
- Category
- Article
- ISSN
- 0024-6115
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π SIMILAR VOLUMES
## Abstract Two trigonometric quadrature formulae, one of nonβinterpolatory type and one of interpolatory type for computing the hypersingular integral ${\int\hskip-0.33cm=}\_{-1}^{1} w(\tau)g(\tau)/(\tau-t)^{2} \,{\rm d}\tau$ are developed on the basis of trigonometric quadrature formulae for Cauc
Some inequalities associated with the Laplacian for trigonometric polynomials are given, which will be applied to investigate the behavior in approximation by trigonometric polynomials in higher dimensions and the best lower and upper estimates for some linear operators. In particular, we obtain a c