Product Summability Transform of Conjugate Series of Fourier Series

Vishnu Narayan Mishra, Kejal Khatri and Lakshmi Narayan Mishra

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-13

Abstract:

A known theorem, Nigam (2010) dealing with the degree of approximation of conjugate of a signal belonging to L i p 𠜉 ( ð ‘¡ ) -class by ( ð ¸ , 1 ) ( ð ¶ , 1 ) product summability means of conjugate series of Fourier series has been generalized for the weighted ð ‘Š ( ð ¿ ð ‘Ÿ , 𠜉 ( ð ‘¡ ) ) , ( ð ‘Ÿ ≥ 1 ) , ( ð ‘¡ > 0 ) -class, where 𠜉 ( ð ‘¡ ) is nonnegative and increasing function of ð ‘¡ , by  ð ¸ 1 ð ‘› ð ¶ 1 ð ‘› which is in more general form of Theorem 2 of Nigam and Sharma (2011).

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:298923

DOI: 10.1155/2012/298923

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