Generalised Lipschitz class of functions and the absolute summability of Fourier series by Nörlund means

Lal, S. N.; Singh, K. N.

doi:10.1090/S0002-9939-1981-0589133-5

Generalised Lipschitz class of functions and the absolute summability of Fourier series by Nörlund means
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by S. N. Lal and K. N. Singh

Proc. Amer. Math. Soc. 81 (1981), 41-49

DOI: https://doi.org/10.1090/S0002-9939-1981-0589133-5

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Abstract:

The main aim of the paper is to investigate the relationship between certain generalised Lipschitz classes of functions and to discuss the absolute Nörlund summability of Fourier series of functions of the class ${L^q}$ where $2 < q < \infty$.

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