Original scientific paper
On a theorem of S.S.Bhatia and B.Ram
Ž. Tomovski
Abstract
In this paper some inequalities for Dirichlet's and Fejer's kernels
proved in [6] are refined and extended.
Then we have obtained the conditions for L^1-convergence of the
r-th derivatives of complex trigonometric series.
These results are extensions of corresponding Bhatia's and Ram's
results for complex trigonometric series (case r=0).
Keywords
Dirichlet kernel; Fejer kernel; L^1-convergence; complex trigonometric series; Bernstein's inequality
Hrčak ID:
729
URI
Publication date:
22.12.2003.
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