On Best Multiplier Approximation of K- Monotone of f E LP,λn [-π, π]

Authors

  • Department of Communcation, College of Engineering, Uruk University, Baghdad, Iraq
  • Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
  • Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.32792/jeps.v12i2.225

Keywords:

Multiplier Integral, Multiplier Averaged Modulus of Smoothness, Multiplier Norm

Abstract

The aim of this paper is to obtain the degree of the best multiplier approximation of monotone
unbounded periodic functions in ????P,λnspace

References

V.A.Popov, “ One-Sided Approximation of Periodic Functions of Several Variables”, Comptes

Rendus de Academia Bulgare Sciences, Vol. 35, No. 12, pp. 1639-1642, 1982

V.H. Hristove, “ Best One-Sided Approximation and Mean Approximation by Interpolating

Polynomials of Periodic Functions ”, Mathematica Belakanica, New Series, 3, 418-429, 1989

N.M. Kassim,“ On the Monotone and Comonotone Approximation”, M. Sc thesis, Kufa University,

Mathematical Department, College of Eduction, 2004

L.Leindler,“ On the Degree of Approximation of Continuous Functions”, Acta Math. Hugar., 104 (1-

, 105-113,2004

Jasim S.K. and Zaboon A.H.,“ Approximation of Unbounded Functions by Trigonometric

Polynomials in Locally-Global”, Al-Mustansiriyha University , Journal of Science ,Vol.25,

No.3,2014

Sendov. B.C., Popov, V.A.,“ The Averaged Modulus of Smoothness”, Publ. House of the Bulg.

Acad. Of Science, Sofia, 1988

Hardy G.,” Divergent Series” Clarendon Press, Oxford, First Ed,1949

Downloads

Published

2023-02-19

Issue

Vol. 12 No. 2 (2022): University of Thi-Qar Journal of education for pure science

Section

Articles

License

Copyright Policy

Authors retain copyright of their articles published in the Journal of Education for Pure Science (JEPS).

By submitting their work, authors grant the journal a non-exclusive license to publish, distribute, and archive the article in all formats and media.

License

All articles published in JEPS are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

This license permits unrestricted use, distribution, and reproduction in any medium, provided that the original author(s) and the source are properly credited.

Author Rights

Authors have the right to:

  • Share their articles on personal websites, institutional repositories, and academic platforms

  • Reuse their work in future research and publications

  • Distribute the published version without restriction

Journal Rights

The journal retains the right to:

  • Publish and archive the articles

  • Include them in indexing and archiving systems such as LOCKSS and CLOCKSS

  • Promote and disseminate the published work

Responsibility

The contents of all articles are the sole responsibility of the authors. The journal, editors, and editorial board are not responsible for any errors, opinions, or statements expressed in the published articles.

Open Access Statement

JEPS provides immediate open access to its content, supporting the principle that making research freely available to the public enhances global knowledge exchange.

This work is licensed under a Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/