On the Absolute Convergence of Fourier Series
Copyright policy )On the Absolute Convergence of Fourier Series
Abstract The necessary and sufficient conditions of the absolute convergence of a trigonometric Fourier series are established for continuous 2π-periodic functions which in [0, 2π] have a finite number of intervals of convexity, and whose 𝑛th Fourier coefficients are O(ω(1/𝑛; 𝑓)/𝑛), where ω(δ; 𝑓) is the continuity modulus of the function 𝑓.
- Tbilisi State University Georgia
Fourier coefficients, Fourier series of functions with special properties, special Fourier series, absolute convergence, piecewise convexity, Convergence and absolute convergence of Fourier and trigonometric series, Fourier series
Fourier coefficients, Fourier series of functions with special properties, special Fourier series, absolute convergence, piecewise convexity, Convergence and absolute convergence of Fourier and trigonometric series, Fourier series
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