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On the Absolute Convergence of Fourier Series |
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| Authors: | Karchava T |
| Institution: | (1) Faculty of Physics and Mathematics, Sukhumi Branch of I. Javakhishvili Tbilisi State University, 1, I. Chavchavadze ave., Tbilisi, 380028, Georgia |
| Abstract: | The necessary and sufficient conditions of the absolute convergence of a trigonometric Fourier series are established for continuous 2 -periodic functions which in 0, 2] have a finite number of intervals of convexity, and whose nth Fourier coefficients are O( (l/n; f)/n), where ( f) is the continuity modulus of the function f. |
| Keywords: | Periodic functions with a finite number of intervals of convexity absolute convergence of Fourier series estimates of Fourier coefficients |
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