Absolute conjugate Fourier effective methods and functions

Kumar, A.; Peyerimhoff, A.

doi:10.1090/S0002-9939-1994-1189545-4

Absolute conjugate Fourier effective methods and functions
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by A. Kumar and A. Peyerimhoff

Proc. Amer. Math. Soc. 121 (1994), 1123-1132

DOI: https://doi.org/10.1090/S0002-9939-1994-1189545-4

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Abstract:

We consider matrix transformation of the conjugate series of a Fourier series. Necessary and sufficient conditions on the function, generating the Fourier series, as well as on the method of the transformation have been obtained for absolute summability of the transformed series.

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