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Absolute Riesz summability of Fourier series and their conjugate series
Published online by Cambridge University Press: 17 April 2009
Abstract
This paper contains two theorems. The first theorem treats the |R, r, l| summability of Fourier series and their associated series of functions of bounded variation. The second concerns the |R, r, l| summability of Fourier series of functions f such that φ(t)m(l/t) is of bounded variation where m(u) increases to infinity as u → ∞. These theorems generalize Mohanty's theorems.
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- Research Article
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- Copyright © Australian Mathematical Society 1970