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

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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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Key Dates

Published

30-09-2019

Issue

Section

Original Article

How to Cite

[1]
S. K. Al-Saidy, N. J. AL-Jawari, and A. H. Zaboon, “Best multiplier Approximation in L_(p,∅_n ) (B)”, Al-Mustansiriyah Journal of Science, vol. 30, no. 2, pp. 27–32, Sep. 2019, doi: 10.23851/mjs.v30i2.541.

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