No CrossRef data available.
Article contents
On an Extremal Problem in Fourier Series
Published online by Cambridge University Press: 20 November 2018
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Let f(x) be a bounded odd function, - π < x < π, |f(X)| ≤ 1, with non-negative Fourier coefficients bk, k = 1,2, ….
Otto Szász [l] proved anew the existence of a bounded set of numbers {βn}, n = 1,2,…, such that
where βn is the smallest constant satisfying the above inequality and added that 2/π ≤ βn ≤ 4/π. He pointed out [1, p. 170] that β1 = 4/π and raised the question of the value of βn for n > 1.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1960
References
1.
Otto, Szász, Some extremum problems in the theory of Fourier series, Amer. J. of Math. 61 (1939), 165-177.Google Scholar
You have
Access