Approximative properties of Fourier-Meixner sums
نویسندگان
چکیده
منابع مشابه
On Generalized Approximative Properties of Systems
Theory of classical basis including Schauder basis is sufficiently well developed, and quite a good number of monographs such as Day 1 , Singer 2, 3 , Young 4 , Bilalov, Veliyev 5 , Ch. Heil 6 , and so forth have been dedicated to it so far. There are different versions and generalizations of the concept of classical basis for more details see 2, 3 . One of such generalizations is proposed in 5...
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provided an = sin (wn/2) and k(x) =sin (irx/2). Weinberger [8] treated the case when the coefficients a„ form a periodic sequence; that is an+q = a„ for some integer q. Making use of the character theory of Dirichlet 7-functions, he found the conditions on the a„ so that (3) holds with the kernel (2/q112) cos (2irx/q) or the kernel (2/q112) sin (2irx/q). (These kernels give self-reciprocal tran...
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Here sn x is an abbreviation for sin (wx/2). This paper gives other conditions for the validity of these identities. The previous conditions permitted to have various types of discontinuity. The present paper is concerned with smooth functions; however, the growth at 0 and «> is permitted to be greater than before. Theorems 1, 2, and 3 of the previous paper together with Theorems 2 and 3 of...
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Elementary complex analysis and Hilbert space methods show that a union of at most n arcs on the circle is uniquely determined by the nth Fourier partial sum of its characteristic function. The endpoints of the arcs can be recovered from the coefficients appearing in the partial sum by solving two polynomial equations.
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ژورنال
عنوان ژورنال: Issues of Analysis
سال: 2018
ISSN: 2306-3432
DOI: 10.15393/j3.art.2018.4390