Two theorems using the bounded variation concept. (English) Zbl 1299.26020
Summary: This note presents two versions of an interesting theorem due to R. J. Le and S. P. Zhou [Anal. Theory Appl. 22, 1–7 (2006; Zbl 1135.42303)], utilizing a new condition of bounded variation type for a trigonometric series to have an asymptotic sum.
MSC:
| 26A45 | Functions of bounded variation, generalizations |
| 42A32 | Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) |
Citations:
Zbl 1135.42303References:
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