منابع مشابه
Decay of (p,q)-Fourier coefficients.
We show that essentially the speed of decay of the Fourier sine coefficients of a function in a Lebesgue space is comparable to that of the corresponding coefficients with respect to the basis formed by the generalized sine functions sin p,q .
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In this paper, we develop the theory of a p, q-analogue of the binomial coefficients. Some properties and identities parallel to those of the usual and q-binomial coefficients will be established including the triangular, vertical, and the horizontal recurrence relations, horizontal generating function, and the orthogonality and inverse relations. The construction and derivation of these result...
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متن کاملOn (N, p, q)(E, 1) Summability of Fourier Series
H. K. Nigam and Ajay Sharma Department of Mathematics, Faculty of Engineering & Technology, Mody Institute of Technology and Science (Deemed University), Laxmangarh, Sikar (Rajasthan) 332311, India Correspondence should be addressed to Ajay Sharma, [email protected] Received 7 November 2008; Revised 17 March 2009; Accepted 30 March 2009 Recommended by Hüseyin Bor A new theorem on N...
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Introduction. In 1923 M. Fekete [2]2 introduced the concept of factor sequences that left invariant the class of a Fourier series. That is, Fekete investigated the conditions to which a sequence of constants (X„) must be subjected in order that (X„a„, X„i„) be Fourier coefficients of a function of the same class, K, as that of the function determined by (an, bn). Whenever (X„) has this property...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2014
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2014.0221