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Matematicheskie Zametki, 2024, Volume 116, Issue 2, paper published in the English version journal (Mi mzm14467)  
Papers published in the English version of the journal

Convergence rate of Fourier–Legendre series of functions of generalized bounded variation

R. K. Bera, B. L. Ghodadra

The Maharaja Sayajirao University of Baroda, Vadodara, Gujarat, India
Abstract: We estimate the convergence rate of Fourier–Legendre series of functions of generalized bounded variation. Our result is similar to a result due to Bojanić and Vuilleumier for the Fourier–Legendre series of functions of bounded variation, which applies to a wider class.
Keywords: Fourier–Legendre series, generalized bounded variation, pointwise convergence, rate of convergence.
Funding agency Grant number
Council of Scientific and Industrial Research 09/114(0233)/2019-EMR-I
The first author would like to thank Council of Scientific and Industrial Research (CSIR) for financial support through JRF (file no. 09/114(0233)/2019-EMR-I).
Received: 12.01.2022
Revised: 19.11.2022
English version:
Mathematical Notes, 2024, Volume 116, Issue 2, Pages 168–181
DOI: https://doi.org/10.1134/S0001434624070137
Bibliographic databases:
Document Type: Article
Language: English
Citation: R. K. Bera, B. L. Ghodadra, “Convergence rate of Fourier–Legendre series of functions of generalized bounded variation”, Math. Notes, 116:2 (2024), 168–181
Citation in format AMSBIB
\Bibitem{BerGho24}
\by R.~K.~Bera, B.~L.~Ghodadra
\paper Convergence rate of Fourier--Legendre series of functions of generalized bounded variation
\jour Math. Notes
\yr 2024
\vol 116
\issue 2
\pages 168--181
\mathnet{http://mi.mathnet.ru/mzm14467}
\crossref{https://doi.org/10.1134/S0001434624070137}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85204354041}
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