Approximation Theory and its Applications

, Volume 16, Issue 1, pp 46–51 | Cite as

An extension of the Garrett-Stanojevic class

  • Tomovski Zivorad


The extension is made for the theorem of [2], by considering the classes Spr and Cr, 1<p≤2, r∈{0,1,2,…} instead of Sp and C. Namely, it is shown that the class Spr is a subclass of Cr∩BV, 1<p≤2,r∈{0,1, 2,…}, where BV is the class of null sequences of bounded variation, and Cr, r∈{0,1,2…} is the extension of the Garrett-Stanojevci class.


Analytical Function Positive Constant Fourier Series Natural Science Periodic Function 
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Copyright information

© Springer 2000

Authors and Affiliations

  1. 1.University of SkopjeMacedonia
  2. 2.Faculty of Mathematical and Natural SciencesSkopje Macedonia

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