Vol. 42, No. 2, 1972

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Integrability of trigonometric series. II

Masako Izumi and Shin-ichi Izumi

Vol. 42 (1972), No. 2, 359–367
Abstract

There are proved theorems of the following type. Let 0 < r < 1 and g(t) n=1bn sinnt and suppose 0ng(t)|tu|rdt A for all u > 0. Then n=1|bn|nr1 < .

Mathematical Subject Classification 2000
Primary: 42A16
Secondary: 42A28
Milestones
Received: 1 April 1971
Published: 1 August 1972
Authors
Masako Izumi
Shin-ichi Izumi