Math. Nechr. 149 (1990) and (1.7) respectively, where the parameter 5 tends to 0. n W Z , 5 ) = ( 6 Z -l J I(% + 1) exp (-t2/5) d t , -JI Throughout the paper, we shall write (1.8) @A = I(% + 1) -2f(Z)'+ f ( Z -0 . 2.
Remark on the Degree of Approximation of Continuous Functions by Singular Integrals
β Scribed by S. G. Gal
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 113 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
## Abstract An approximation method for a wide class of twoβdimensional integral equations is proposed. The method is based on using a special function system. Orthonormality and good interaction with fundamental integral operators arising in partial differential equations are remarkable properties
The problem to be studied goes back to a question of ErdΓΆs and KΓΆvari, concerning functions \(M(x), x \in R_{0}{ }^{+}\), which are positive and logarithmically convex in \(\ln x\). The question to find necessary and sufficient conditions for the existence of a power series \[ N(x)=\sum c_{n} x^{n}