On the generalized Becker-Stark type inequalities

Author:

Bagul Yogesh J.1,Kostić Marko2,Chesneau Christophe3,Dhaigude Ramkrishna M.4

Affiliation:

1. Department of Mathematics , K. K. M. College , Manwath, Dist: Parbhani(M.S.)-431505 , India

2. University of Novi Sad , Trg D. Obradovića 6, 21125 Novi Sad , Serbia

3. LMNO, University of Caen-Normandie , Caen , France

4. Department of Mathematics , Government Vidarbha Institute of Science and Humanities , Amravati(M. S.)-444604 , India

Abstract

Abstract In this paper, we establish several generalized Becker-Stark type inequalities for the tangent function. We present unified proofs of many inequalities in the existing literature. Graphical illustrations of some obtained results are also presented.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference21 articles.

1. [1] H. Alzer, Sharp bounds for the Bernoulli numbers, Archiv der Mathematik, Vol. 74, No. 3 (2000), 207–211.

2. [2] G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen, Conformal Invariants, Inequalities and Quasiconformal maps, John Wiley and Sons, New York, 1997.

3. [3] Y. J. Bagul, On simple Jordan type inequalities, Turkish J. Ineq., Vol. 3, No. 1 (2019), 1–6.

4. [4] Y. J. Bagul, and C. Chesneau, New sharp bounds for tangent function, Bulletin of the Allahabad Mathematical Society, Vol. 34, No. 2 (2019), 277–282.

5. [5] B. Banjac, M. Makragić and B. Malešević, Some notes on a method for proving inequalities by computer, Results in Mathematics, Vol. 69, No. 1 (2016), 161–176.

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