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Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 1, Pages 58–66
DOI: https://doi.org/10.15393/j3.art.2022.10770 (Mi pa342) 		 
A note on the Becker-Stark type inequalities

R. M. Dhaigudea, Y. J. Bagulb

a Department of Mathematics, Government Vidarbha Institute of Science and Humanities, Amravati(M. S.)-444604, India
b Department of Mathematics, K. K. M. College, Manwath, Dist: Parbhani(M. S.)-431505, India
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DOI: https://doi.org/10.15393/j3.art.2022.10770
Abstract: This note is devoted to establishing the sharp bounds for the function $ x/\mathrm{tg}\, x $, thus refining the well-known Becker-Stark's inequality.
Keywords: Becker-Stark inequality, tangent function, monotonicity of functions, Bernoulli numbers.
Received: 17.08.2021
Revised: 09.01.2022
Accepted: 24.01.2022
Bibliographic databases:
Document Type: Article
UDC: 517.1, 517.521
MSC: 26A48, 26D05, 33B10
Language: English
Citation: R. M. Dhaigude, Y. J. Bagul, “A note on the Becker-Stark type inequalities”, Probl. Anal. Issues Anal., 11(29):1 (2022), 58–66
Citation in format AMSBIB
\Bibitem{DhaBag22}
\by R.~M.~Dhaigude, Y.~J.~Bagul
\paper A note on the Becker-Stark type inequalities
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 1
\pages 58--66
\mathnet{http://mi.mathnet.ru/pa342}
\crossref{https://doi.org/10.15393/j3.art.2022.10770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4396955}
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