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The Direct and Converse Theorems for Best Approximation of Algebraic Polynomial in Lp, α (X)

Journal of physics. Conference series, 2021-05, Vol.1879 (3) [Peer Reviewed Journal]

Published under licence by IOP Publishing Ltd ;2021. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;ISSN: 1742-6588 ;EISSN: 1742-6596 ;DOI: 10.1088/1742-6596/1879/3/032010

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  • Title:
    The Direct and Converse Theorems for Best Approximation of Algebraic Polynomial in Lp, α (X)
  • Author: Auad, Alaa Adnan ; Fayyadh, Mohammed Hamad
  • Subjects: Algebra ; Approximation ; Mathematical analysis ; Polynomials ; Smoothness ; Theorems
  • Is Part Of: Journal of physics. Conference series, 2021-05, Vol.1879 (3)
  • Description: The direct and inverse algebraic polynomials approximation theorems in weighted spaces of unbounded functions are proved by using modulus of smoothness. Also, we obtain sharp Jackson ( direct ) inequality of algebraic approximation of unbounded functions in terms modulus of smoothness. In addition, constructive characterization of modulus of smoothness are considered.
  • Publisher: Bristol: IOP Publishing
  • Language: English
  • Identifier: ISSN: 1742-6588
    EISSN: 1742-6596
    DOI: 10.1088/1742-6596/1879/3/032010
  • Source: IOP Publishing Free Content
    IOPscience (Open Access)
    GFMER Free Medical Journals
    ProQuest Central
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