A theorem on local property of
<mml:math alttext="$|\bar{N},p_n|_k$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>|</mml:mo><mml:mover accent="true"><mml:mi>N</mml:mi><mml:mo>&#175;</mml:mo></mml:mover><mml:mo>,</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:msub><mml:mo>|</mml:mo><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math> summability of factored
Fourier series, which generalizes some known results, and also a general theorem
concerning the <mml:math alttext="$|\bar{N},p_n|_k$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>|</mml:mo><mml:mover accent="true"><mml:mi>N</mml:mi><mml:mo>&#175;</mml:mo></mml:mover><mml:mo>,</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:msub><mml:mo>|</mml:mo><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math> summability factors of
Fourier series have been proved.

International Journal of Mathematics and Mathematical Sciences

Local properties of Fourier series

Abstract

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