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On the behavior of \(r\)-derivative near the origin of sine series with convex coefficients. (English) Zbl 1214.42001

Summary: We will give the behavior of the \(r\)-derivative near the origin of sine series with convex coefficients.

MSC:

42A15 Trigonometric interpolation
42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.)
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