ON $(N , p_n, q_n)$ SUMMABILITY OF FOURIER SERIES AND ITS CONJUGATE SERIES
نویسندگان
چکیده
منابع مشابه
ON ALMOST (N,p,q) SUMMABILITY OF CONJUGATE FOURIER SERIES
A new theorem on almost generalized Nörlund summability of conjugate series of Fourier series has been established under a very general condition. 2000 Mathematics Subject Classification. Primary 42B05, 42B08.
متن کاملProduct 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...
متن کاملOn Double Summability of Double Conjugate Fourier Series
H. K. Nigam and Kusum Sharma Department of Mathematics, Faculty of Engineering and Technology, Mody Institute of Technology and Science, Deemed University, Laxmangarh 332311, Sikar, Rajasthan, India Correspondence should be addressed to Kusum Sharma, [email protected] Received 20 January 2012; Accepted 1 March 2012 Academic Editor: Ram U. Verma Copyright q 2012 H. K. Nigam and K. Sha...
متن کاملSummability Method of Conjugate Series of Its Fourier Series (communicated by Hüseyin Bor)
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...
متن کاملGeneralized matrix summability of a conjugate derived Fourier series
The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this context. In this paper, we propose to use a more general matrix method to obtain necessary and sufficient conditions to sum the conjugate derived Fourier series.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 1994
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.25.1994.4430