Sharpening and generalizations of Shafer-Fink and Wilker type inequalities: a new approach

Volume 11, Issue 7, pp 885--893 http://dx.doi.org/10.22436/jnsa.011.07.02

Publication Date: May 16, 2018 Submission Date: March 30, 2018 Revision Date: April 15, 2018 Accteptance Date: April 18, 2018

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Authors

Marija Rašajski - School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, 11000 Belgrade, Serbia. Tatjana Lutovac - School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, 11000 Belgrade, Serbia. Branko Malešević - School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, 11000 Belgrade, Serbia.

Abstract

In this paper, we propose and prove some generalizations and sharpenings of certain inequalities of Wilker's and Shafer-Fink's type. Application of the Wu-Debnath theorem enabled us to prove some double sided inequalities.

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Keywords

• Sharpening
• generalization
• inequalities of Wilker's and Shafer-Fink's type

MSC

•  33B10
•  26D05

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