JIPAM

On a Generalization of Lipschitz's Classes  
 
  Authors: Xh. Z. Krasniqi,  
  Keywords: Lipschitz classes, Fourier series.  
  Date Received: 26/03/08  
  Date Accepted: 06/08/08  
  Subject Codes:

42A20, 42A32.

  
  Editors: Hüseyin Bor,  
 
  Abstract:

In this paper we obtain a generalization of Lipschitz's classes $ Lambda^{m} (eta, p, r)$ defined in [1]. We give necessary conditions for even or odd functions with Fourier series to belong to the classes $ Lambda^{m} (p, r, lpha)$. We also give sufficient conditions for even or odd functions with Fourier series to belong to the same classes.;


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