Best multiplier Approximation in L_(p,∅_n ) (B)

Authors

  • Saheb K. Al-Saidy Department of Mathematics, College of Science, Mustansiriyah University.
  • Naseif J. AL-Jawari Department of Mathematics, College of Science, Mustansiriyah University.
  • Ali Hussein Zaboon Department of Mathematics, College of Science, Mustansiriyah University.

DOI:

https://doi.org/10.23851/mjs.v30i2.541

Keywords:

multiplier convergence, Fourier series

Abstract

The purpose of this paper is to find best multiplier approximation of unbounded functions in L_(p,∅_n ) –space by using Trigonometric polynomials and by de la Vallee- Poussin operators. Also we will estimate the degree of the best multiplier approximation by Weighted –Ditzian-Totik modulus

Author Biography

Ali Hussein Zaboon, Department of Mathematics, College of Science, Mustansiriyah University.

College of Science Department of Mathematics.

References

Ahmed K., Mohammad A. and Suleiman M.,"Approximation Properties of de la Vallee -Poussin sums in Morrey spaces" SQU Journal for science, Tishreen University Vol.122, pp.89-95, (2017).

Sadulla Z. Jafarov,"Approximation of functions by de la Vallee-Poussin sums in weighted Orlicz spaces ", Arabian Journal of Math. 5: p.125-137, (2016). [Crossref]

Kamel Al-Khaled and Rateb Albtoush ,"Approximation of periodic functions by Vallee-Poussin sums ",Hokkaido Math.Jounrnal ,Jordan University, (2001).

Habeeb A. Kadhim, "On best Trigonometric approximation in L_p (μ) -space ", Dep. of Math. Journal of Education College of computer and Math. University of Thi-Qar, No.3, Vo.2, (2012).

G.H. Hardy, "divergent series", Clarendon press, Oxford, (1949).

VASIL A. POPOV, "Averaged moduli of smoothness", Sofa (1983).

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Published

2019-09-30

How to Cite

[1]
S. K. Al-Saidy, N. J. AL-Jawari, and A. H. Zaboon, “Best multiplier Approximation in L_(p,∅_n ) (B)”, MJS, vol. 30, no. 2, pp. 27–32, Sep. 2019.

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Section

Mathematics

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