On $L^1$-approximation of Trigonometric Series

Laszlo Leindler

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.


Keywords


Trigonometric approximation; Logarithm sequences; Embedding relations

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DOI: http://dx.doi.org/10.26713%2Fjims.v2i2+%26+3.28

eISSN 0975-5748; pISSN 0974-875X