On approximating periodic functions by singular integrals with positive kernels
- 22 Downloads
In the two-dimensional case, new approximation characteristics for functions belonging to saturation classes of continuity modules for the spaces Lp of periodic functions are obtained. The problem of approximating a function by an analog of Fejér’s integral in the space of periodic functions square integrable on the period is considered. Bibliography: 5 titles.
KeywordsPeriodic Function Continuity Module Singular Integral Approximation Characteristic Positive Kernel
Unable to display preview. Download preview PDF.
- 2.V. V. Zhuk, Approximation of Periodic Functions [in Russian], Leningrad (1982).Google Scholar
- 3.V. V. Zhuk, Strong Approximation of Periodic Functions [in Russian], Leningrad (1989).Google Scholar
- 4.H. Bateman and A. Erdélyi, Tables of Integral Transforms [Russian translation], Vol. 1, Moscow (1969).Google Scholar
- 5.A. Zygmund, Trigonometrical Series [Russian translation], Vol. 1, Moscow (1965).Google Scholar