Rate of convergence of Fourier–Legendre series of functions of the class (n^α)BV^p [−1, 1]
In this paper, the rate of convergence of the Fourier–Legendre series of functions of the class (nα)BVp[−1, 1] and in particular, the class BVp[−1, 1], are estimated. The result obtained is a similar to a result of Bojani´c and Vuilleumier for the Fourier–Legendre series of functions of bounded variation, and is applicable to wider class.
Authors
- Bhikha Lila Ghodadra (ORCID: https://orcid.org/0000-0001-6294-606X)
- R. K. Bera (ORCID: https://orcid.org/0009-0002-5973-348X)
Institutions
- Maharaja Sayajirao University of Baroda (IN)
Publication Details
- Journal
- Acta et Commentationes Universitatis Tartuensis de Mathematica
- Published
- 2024-11-28
- DOI
- https://doi.org/10.12697/acutm.2024.28.12
- Primary Topic
- Mathematical Approximation and Integration
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Council of Scientific and Industrial Research, India