Optimal bounds for the tangent and hyperbolic sine means-Reference-Cited by-同舟云学术

Optimal bounds for the tangent and hyperbolic sine means

Published:2020-01-14 Issue:5 Volume:94 Page:817-827
ISSN:0001-9054
Container-title:Aequationes mathematicae
language:en
Short-container-title:Aequat. Math.

Author:

Nowicka Monika^ORCID,Witkowski Alfred^ORCID

Abstract

AbstractWe provide optimal bounds for the tangent and hyperbolic sine means in terms of various weighted means of the arithmetic and geometric means.

Funder

UTP University of Science and Technology in Bydgoszcz

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00010-020-00705-6.pdf

Reference4 articles.

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2. Lazarević, I.: Certain inequalities with hyperbolic functions. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz., No. 159–170 (1966), 41–48 (in Serbo-Croatian)

3. Mitrinović, D.S., Adamović, D.D.: Sur une inégalité élémentaire où interviennent des fonctions trigonométriques. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz., No. 143–155 (1965), 23–34

4. Witkowski, A.: On Seiffert-like means. J. Math. Inequal. 4(9), 1071–1092 (2015). https://doi.org/10.7153/jmi-09-83

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