Cesàro summability of successively differentiated series of a Fourier series and its conjugate series
نویسندگان
چکیده
منابع مشابه
Product Summability Transform of Conjugate Series of Fourier Series
A known theorem, Nigam 2010 dealing with the degree of approximation of conjugate of a signal belonging to Lipξ t -class by E, 1 C, 1 product summability means of conjugate series of Fourier series has been generalized for the weighted W Lr, ξ t , r ≥ 1 , t > 0 -class, where ξ t is nonnegative and increasing function of t, by ̃ E1 nC n which is in more general form of Theorem 2 of Nigam and Shar...
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Recently, Lal [9] has determined the degree of approximation of function belonging to Lip α and weighted classes using Product C . Np summability with non-increasing weights{pn}. In this paper, we determine the degree of approximation of function f̃ , conjugate to a 2π-periodic function f belonging to Lip (ξ (t), r)−class using semi-monotonicity on the generating sequence {pn} with proper set of...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1962
ISSN: 0386-5991
DOI: 10.2996/kmj/1138844636