On the Gauss-Weierstrass Summability of Multiple Trigonometric Series at mu-smoothness Points
ACTA MATHEMATICA SINICA-ENGLISH SERIES, vol.27, no.4, pp.741-746, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 27 Issue: 4
- Publication Date: 2011
- Doi Number: 10.1007/s10114-011-9399-x
- Journal Name: ACTA MATHEMATICA SINICA-ENGLISH SERIES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.741-746
- Keywords: Multiple Fourier series, Fourier transform, Gauss-Weierstrass summability, modulus of continuity, INTEGRALS
- Akdeniz University Affiliated: Yes
Abstract
The notion of mu-smoothness points of periodic functions of several variables is introduced and the rate of convergence of the Gauss-Weierstrass means of relevant Fourier series at these points is investigated.
The notion of mu-smoothness points of periodic functions of several variables is introduced and the rate of convergence of the Gauss-Weierstrass means of relevant Fourier series at these points is investigated.