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- Title
Calculation of the Limit of a Special Sequence of Trigonometric Functions.
- Authors
Alferova, E. D.; Sherstyukov, V. B.
- Abstract
This article, titled "Calculation of the Limit of a Special Sequence of Trigonometric Functions," discusses the problem of calculating the exact spectral radius of a special family of functional operators. The authors provide a theorem that solves this problem for rational and simple radical values, but the problem remains open for arbitrary algebraic numbers. The authors also present an elementary proof of a general formula that gives the value of the limit and an estimate of the rate of convergence of the sequence. The article includes theorems, proofs, and auxiliary assertions to support their findings.
- Subjects
ALGEBRAIC numbers; INTEGRAL calculus; INTEGRAL functions; WAVELETS (Mathematics); AFFINE transformations
- Publication
Mathematical Notes, 2024, Vol 115, Issue 1/2, p269
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434624010255