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Notes on the Overconvergence of Fourier Series and Hadamard–Ostrowski Gaps.
- Source :
-
Mathematics (2227-7390) . Apr2024, Vol. 12 Issue 7, p979. 16p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FOURIER series
*ORTHOGONAL polynomials
*POWER series
*CIRCLE
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 176593759
- Full Text :
- https://doi.org/10.3390/math12070979