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Mathematical Notes

, Volume 105, Issue 3–4, pp 439–448 | Cite as

Multipliers of Absolute Convergence

  • V. Sh. TsagareishviliEmail author
  • G. TutberidzeEmail author
Article
  • 14 Downloads

Abstract

The paper deals with sequences of positive numbers (dn) such that, multiplying the Fourier coefficients (Cn(f)) of functions from given function classes by these numbers, one obtains a convergent series of the form \(\sum {{\rm{|}}{C_n}(f){{\rm{|}}^p}{d_n}, 1 \le p < 2} \). It is established that the resulting conditions cannot be strengthened in a certain sense. The results of the paper imply, in particular, some well-known results for trigonometric Fourier series.

Keywords

convergence Fourier coefficients sequence of numbers 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Tbilisi State UniversityTbilisiGeorgia

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