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Zygmund Toplamları İle Yaklaşımda Ekstremal Problem Üzerine Bir Not

A Note on Extremal Problem in Approximation by Zygmund Sums

Journal Name:

  • Cumhuriyet Üniversitesi Fen Fakültesi Fen Bilimleri Dergisi

Publication Year:

  • 2008

Key Words:

Keywords (Original Language):

Author NameUniversity of Author
Abstract (2. Language): 
In this paper we consider asymptotic representation about the approximation of functions from the classes of i|; -integrals by the Zygmund sums. In particularly, we obtain asymptotic formula for the value •„ (cy,Zsn )c = supjf (x)-Z°n (f;x)||c , where j\c = max j(x)|.
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Abstract (Original Language): 
Bu makalede, Zygmund toplamları ile ı|; -integrallerinin sınıflarından olan fonksiyonlara yaklaşım ile ilgili asimptotik gösterimleri göz önünde tutarız. Özellikle, j|C = max j (x)| olmak üzere, • n (Cy,Zsn) = sup f (x) -Zsn (f;x)| değeri için asimptotik formül elde ederiz.
FULL TEXT (PDF): 
PDF icon arastrmx_32114_29_pp_19-25.pdf
  • 2
19-25
  • Turkish

REFERENCES

References: 

[1] A. I. Stepanets, "Methods of Approximation Theory" Boston., VSP., 2005, p.880. [2] D. N. Bushev, "Approximation of Classes of Continuous Periodic Functions Zygmund Sums [in Russian]", Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Preprint No: 84.56., 1984, p.64.

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