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Error Estimation of Functions by Fourier-Laguerre Polynomials Using Matrix-Euler Operators

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  • M. L. Mittal
  • Mradul Veer Singh

Abstract

Various investigators have studied the degree of approximation of a function using different summability (Cesáro means of order : , Euler , and Nörlund ) means of its Fourier-Laguerre series at the point after replacing the continuity condition in Szegö theorem by much lighter conditions. The product summability methods are more powerful than the individual summability methods and thus give an approximation for wider class of functions than the individual methods. This has motivated us to investigate the error estimation of a function by -transform of its Fourier-Laguerre series at frontier point , where is a general lower triangular regular matrix. A particular case, when is a Cesáro matrix of order 1, that is, , has also been discussed as a corollary of main result.

Suggested Citation

  • M. L. Mittal & Mradul Veer Singh, 2015. "Error Estimation of Functions by Fourier-Laguerre Polynomials Using Matrix-Euler Operators," International Journal of Analysis, Hindawi, vol. 2015, pages 1-4, September.
    • Handle: RePEc:hin:ijanal:478345
    DOI: 10.1155/2015/478345
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    References listed on IDEAS

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    1. H. K. Nigam & Ajay Sharma, 2010. "A Study on Degree of Approximation by ( ð ¸ , 1 ) Summability Means of the Fourier-Laguerre Expansion," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-7, August.
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