Approximation of Functions Using Euler-Matrix Means of its Fourier-Laguerre Series.

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Title: Approximation of Functions Using Euler-Matrix Means of its Fourier-Laguerre Series.
Authors: Srivastava, Shailesh Kumar1 shaileshiitr2010@gmail.com
Source: IAENG International Journal of Applied Mathematics. Sep2026, Vol. 56 Issue 9, p4210-4214. 5p.
Subjects: Approximation theory, Laguerre polynomials, Integrable functions, Interpolation
Abstract: In this article, we determine the degree of approx imation of functions belonging to L[0,∞)-class using Eq. T means of their Fourier-Laguerre series at the frontier point x = 0. The obtained results provide extensions of several existing approximation results. In addition, some special cases of the obtained results are presented. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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An: 196779601
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  Data: Approximation of Functions Using Euler-Matrix Means of its Fourier-Laguerre Series.
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  Data: <searchLink fieldCode="AR" term="%22Srivastava%2C+Shailesh+Kumar%22">Srivastava, Shailesh Kumar</searchLink><relatesTo>1</relatesTo><i> shaileshiitr2010@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Sep2026, Vol. 56 Issue 9, p4210-4214. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Laguerre+polynomials%22">Laguerre polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Integrable+functions%22">Integrable functions</searchLink><br /><searchLink fieldCode="DE" term="%22Interpolation%22">Interpolation</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: In this article, we determine the degree of approx imation of functions belonging to L[0,∞)-class using Eq. T means of their Fourier-Laguerre series at the frontier point x = 0. The obtained results provide extensions of several existing approximation results. In addition, some special cases of the obtained results are presented. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        PageCount: 5
        StartPage: 4210
    Subjects:
      – SubjectFull: Approximation theory
        Type: general
      – SubjectFull: Laguerre polynomials
        Type: general
      – SubjectFull: Integrable functions
        Type: general
      – SubjectFull: Interpolation
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      – TitleFull: Approximation of Functions Using Euler-Matrix Means of its Fourier-Laguerre Series.
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            – D: 01
              M: 09
              Text: Sep2026
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              Y: 2026
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