Sharp inequalities related to Adamović-Mitrinović, Cusa, Wilker and Huygens results-Reference-Cited by-同舟云学术

Sharp inequalities related to Adamović-Mitrinović, Cusa, Wilker and Huygens results

Published:2022-12-31 Issue: Volume: Page:1-26
ISSN:2651-477X
Container-title:Hacettepe Journal of Mathematics and Statistics
language:en
Short-container-title:

Author:

ZHU Ling¹,MALESEVİC Branko²

Affiliation:

1. Zhejiang Gongshang University

2. University of Belgrade

Abstract

Using the estimations of the even-indexed Bernoulli number and Euler number this paper established some new inequalities for the three functions 2(sin x)/x+(tan x)/x, (sin x)/x+2(tan(x/2))/(x/2) and 2x/sin x+x/tan x bounded by the powers of tangent function.

Publisher

Hacettepe University

Subject

Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis

Reference15 articles.

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3. 3. E. Neuman, On Wilker and Huygens type inequalities, Math. Inequal. Appl. 15 (2) (2012), 271-279. 10.7153/mia-15-22.

4. 4. Ch.-P. Chen, and W.-S. Cheung, Sharpness of Wilker and Huygens Type Inequalities, Journal of Inequalities and Applications 2012, 2012:72. Available online at http://doi.org/10.1186/1029-242X-2012-72.

5. 5. G.D. Anderson, M.K. Vamanamurthy, and M. Vuorinen, Inequalities for quasiconformal mappings in space, Pac. J. Math., vol. 160, no. 1, pp. 1-18, 1993.

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