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- Title
Notes on the Overconvergence of Fourier Series and Hadamard–Ostrowski Gaps.
- Authors
Stoenchev, Miroslav; Todorov, Venelin; Georgiev, Slavi
- Abstract
This paper examines the relationship between the overconvergence of Fourier series and the existence of Hadamard–Ostrowski gaps. Ostrowski's result on the overconvergence of power series serves as a motivating factor for obtaining a natural generalization: the overconvergence of Fourier series. The connection between Hadamard–Ostrowski gaps and the overconvergence of Fourier series is clarified by applying the Hadamard three-circle theorem and the theory of orthogonal polynomials. Our main result is obtained by applying the Hadamard three-circle theorem.
- Subjects
FOURIER series; ORTHOGONAL polynomials; POWER series; CIRCLE
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 7, p979
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12070979