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Dive into the research topics where Masako Izumi is active.

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Featured researches published by Masako Izumi.


Mathematische Zeitschrift | 1968

Hausdorff means and Gibbs phenomenon

Masako Izumi; Shin-ichi Izumi

The corresponding phenomenon occurs on the left side of the origin. This is called the Gibbs phenomenon (see [1] and [11]). This phenomenon was discussed for many kinds of means of s~; for example, Ces/tro mean, H61der mean, Euler mean and so on. We shall here consider the Hausdorff mean which contains above all as particular cases. This is defined as follows. Let ~ c, be a given infinite series and s,, be its n-th partial sum. The n-th n = l Hausdorff mean with respect to dg(t) of the series is defined by


Bulletin of The Australian Mathematical Society | 1973

Divergence of Fourier series: Corrigenda. II

Masako Izumi; Shin-ichi Izumi

The proof of divergence of Fourier series which was constructed in the authors earlier paper [ Bull. Austral. Math. Soc. 8 (1973), 289–304] is not complete. The object of this paper is to show that the unestimated terms do not disturb the divergence.


Arkiv för Matematik | 1967

On absolute convergence of Fourier series

Masako Izumi; Shin-ichi Izumi


Journal D Analyse Mathematique | 1968

On some inequalities for Fourier series

Masako Izumi; Shin-ichi Izumi


Journal of Mathematical Analysis and Applications | 1968

Modulus of continuity of functions defined by trigonometric series

Masako Izumi; Shin-ichi Izumi


Tohoku Mathematical Journal | 1969

On Hardy's inequality and its generalization

Masako Izumi; Shin-ichi Izumi; Cordon M. Petersen


Journal of Approximation Theory | 1968

Absolute convergence of Fourier series of convolution functions

Masako Izumi; Shin-ichi Izumi


Journal of Mathematical Analysis and Applications | 1967

Integrability theorem for Fourier series and Parseval equation

Masako Izumi; Shin-ichi Izumi


Journal of Mathematical Analysis and Applications | 1970

On a problem concerning integrability of trigonometric series

Masako Izumi; Shin-ichi Izumi


Proceedings of the Japan Academy | 1969

Absolute convergence of Fourier series

Masako Izumi; Shin-ichi Izumi

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Shin-ichi Izumi

Australian National University

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Cordon M. Petersen

Australian National University

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