Convergence of Fourier series with complex quasimonotone coefficients and coefficients of bounded variation of order m

Abstract

L1-convergence theorems for Fourier series with complex quasimonotone coefficients are generalized. The class of null sequences of bounded variation of order m is extended and the point-wise theorem for Fourier series with such coefficients is proved.

Document Type

Article

DOI

https://doi.org/10.1016/0022-247X(86)90010-7

Publication Date

5-1-1986

Journal Title

Journal of Mathematical Analysis and Applications

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