• Slowly oscillating functions and a generalization of quasi-monotone coefficients

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/seca/070/05/0234-0242

    • Keywords

       

      Positive Constant; Fourier Series; Trigonometric Series; Positive Term; Inclusion Relation

    • Abstract

       

      We first state a conjecture due to Yong concerning equality of two classes of functions, and then give examples to disprove the conjecture. Later we extend some theorems concerning integrability of Fourier series.

    • Author Affiliations

       

      Charles S Rees1

      1. Department of Mathematics, University of Tennessee, Knoxville, Tennessee, U.S.A.
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