Trigonometric series with a generalized monotonicity condition
نویسندگان
چکیده
منابع مشابه
Trigonometric series with a generalized monotonicity condition
Abstract In this paper, we consider numerical and trigonometric series with a very general monotonicity condition. First, a fundamental decomposition is established from which the sufficient parts of many classical results in Fourier analysis can be derived in this general setting. In the second part of the paper a necessary and sufficient condition for the uniform convergence of sine series is...
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ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2014
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-014-3496-6