Geodesic
Some Triangle Inequalities and Generalizations
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 267-274

Voir la notice de l'article provenant de la source Cambridge University Press

Let , where ai, s, and x are real, and II denotes the product over cyclic rearrangements of the subscripts. We show that, in five special cases, Dn, s (x)Dn, s (y) is greater than a fixed multiple of Dn, s (x + y). 
Carroll, C. E.; Yang, C C.; Ahn, S. Some Triangle Inequalities and Generalizations. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 267-274. doi: 10.4153/CMB-1980-037-6
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[1] 1. Beckenbach, E.F. and Bellman, R., Inequalities, Springer-Verlag, New York, 1965. Google Scholar

[2] 2. Breusch, R., American Mathematical Monthly 80, 809, (1973). Google Scholar

[3] 3. Lars, Gårding, Journal of Mathematics and Mechanics 8, 957, (1959). Google Scholar

[4] 4. Hardy, G.H., Littlewood, J.E. and Pólya, G., Inequalities, Cambridge University Press, 1952. Google Scholar

[5] 5. Hobson, E.W., A Treatise on Plane and Advanced Trigonometry, Dover Publications, New York, 1928. Google Scholar

[6] 6. Jensen, J. L. W. V., Acta Mathematica 30, 175, (1905). Google Scholar

[7] 7. Mitrinovic, D.S., Analytic Inequalities, Springer-Verlag, New York, 1970. Google Scholar

[8] 8. Pringsheim, A., Sitzungsberichte der mathematisch-physikalischen Classe der k?niglichen, Bayerischen Akademie der Wissenschaften zu Miinchen 32, 295, (1903). Google Scholar

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