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Integrability andL 1-convergence of sine series with generalized quasi-convex coefficients

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Abstract

In this paper we obtain a necessary and sufficient condition for the sine series with generalized quasi-convex coefficients to be a Fourier series. Also we studyL 1-convergence of this series under the said condition on the coefficients.

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Authors and Affiliations

  1. Department of Mathematics, Maharshi Dayanand University, 124 001, Rohtak, India

    Suresh Kumari & Babu Ram

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  1. Suresh Kumari
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  2. Babu Ram
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Kumari, S., Ram, B. Integrability andL 1-convergence of sine series with generalized quasi-convex coefficients. Proc. Indian Acad. Sci. (Math. Sci.) 100, 245–253 (1990). https://doi.org/10.1007/BF02837847

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  • DOI: https://doi.org/10.1007/BF02837847

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