R. M. Dhaigude, Y. J. Bagul, “A note on the Becker-Stark type inequalities”, Probl. Anal. Issues Anal., 2022, Volume 11(29), Issue 1,Pages <nobr>58

A note on the Becker-Stark type inequalities

R. M. Dhaigude^a, Y. J. Bagul^b

^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

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.

UDC: 517.1, 517.521

MSC: 26A48, 26D05, 33B10

Received: 17.08.2021
Revised: 09.01.2022
Accepted: 24.01.2022

Language: English

DOI: 10.15393/j3.art.2022.10770