This article is cited in 36 papers

Trigonometric integrals

G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov


Abstract: A number of theorems on bounds, some sharp, are obtained for trigonometric integrals, and estimates which can be applied to investigations of singular integrals in the Tarry problem and its generalizations are derived.
Bibliography: 20 titles.

UDC: 511

MSC: Primary 10G10; Secondary 10J06

Received: 05.06.1978

 English version: Mathematics of the USSR-Izvestiya, 1980, 15:2, 211–239

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