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Criterion for the compactness of a class of functions of Wml(Ω), (1

✍ Scribed by S. F. Morozov; V. I. Sumin

Publisher
SP MAIK Nauka/Interperiodica
Year
1970
Tongue
English
Weight
210 KB
Volume
7
Category
Article
ISSN
0001-4346

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A Criterion of Orthogonality for a Class
A Criterion of Orthogonality for a Class of Scaling Functions
✍ Xingwei Zhou; Weifeng Su 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 67 KB

Suppose that m(ξ ) is a trigonometric polynomial with period 1 satisfying m(0) = 1 and |m(ξ In this paper, we prove a generalization: if m(ξ ) has no zeros in [-1 10 , 1 10 ] and |m( 1 6 )| + m(-1 6 )| > 0, then ϕ(x) is an orthogonal function.