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A Generalization of Men'shov's Theorem on Functions Satisfying ConditionK″

✍ Scribed by D. S. Telyakovskii


Book ID
111598284
Publisher
SP MAIK Nauka/Interperiodica
Year
2004
Tongue
English
Weight
185 KB
Volume
76
Category
Article
ISSN
0001-4346

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A Generalization of Favard′s Theorem for
✍ A.J. Duran 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 744 KB

In this paper, we give the canonical expression for an inner product (defined in \(\mathscr{P}\), the linear space of real polynomials), for which the set of orthonormal polynomials satisfies a \((2 N+1)\)-term recurrence relation. This result is a generalization of Favard's theorem about orthogonal