On $L^1$-approximation of Trigonometric Series

Authors

  • Laszlo Leindler Bolyai Institute, University of Szeged, Aradi vertanuk tere 1, H-6720, Szeged, Hungary

DOI:

https://doi.org/10.26713/jims.v2i2%20&%203.28

Keywords:

Trigonometric approximation, Logarithm sequences, Embedding relations

Abstract

In the paper [3] we defined three new classes of sequences motivated by the Logarithm Rest Bounded Variation Sequences defined by S.P. Zhou [4]. By means of these
classes we extended Zhou's theorems pertaining to $L^1$-convergence of sine series. Very recently R.J. Le and S.P. Zhou [1] proved $L^1$-approximation theorems. Now we generalize their theorems to our wider classes.

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Citations

Issue

Vol. 2 No. 2 & 3 (2010)

Section

Research Article

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How to Cite

Leindler, L. (2010). On $L^1$-approximation of Trigonometric Series. Journal of Informatics and Mathematical Sciences, 2(2 & 3), 62-70. https://doi.org/10.26713/jims.v2i2 & 3.28