Degree of Approximation of Lipschitz Function By (C, 1) (e, c) Means of its Fourier Series
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Abstract
Shyam Lal and Prem Narain Singh1 defined (C, 1) (E, 1) Summability of Fourier series and obtained approximation of Lip(ξ(t),p)
function using it. Extending the above result. Shyam Lal and J. K. Kushwaha, obtained the degree of approximation of function of Lip α
class by product summability mean of the form (C, 1) (E, q). It is known that (e, c) mean includes (E, 1) and (E, q) mean. In the present paper, we have defined (C, 1) (e, c) mean of Fourier series and generalizing the above two results, obtained the degree of approximation of function of Lipα class by (C, 1) (e, c) means.
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1.
U. K. Shrivastava, H. L. Rathore. Degree of Approximation of Lipschitz Function By (C, 1) (e, c) Means of its Fourier Series. J. Int. Acad. Phys. Sci. [Internet]. 2011 Oct. 30 [cited 2024 May 7];15(5):83-94. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/617
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