NEW ALGEBRAIC-TRIGONOMETRIC INEQUALITIES OF LAUB-ILANI TYPE
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Date
2017
Authors
Journal Title
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Volume Title
Publisher
Cambridge Univ Press
Open Access Color
Green Open Access
No
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Abstract
The Laub-Ilani inequality ['A subtle inequality', Amer. Math. Monthly 97 (1990), 65-67] states that x(x) + y(y) >= x(y) + y(x) for nonnegative real numbers x, y. We introduce and prove new trigonometric and algebraic-trigonometric inequalities of Laub-Ilani type and propose some conjectural algebraictrigonometric inequalities of similar forms.
Description
Keywords
Laub-Ilani inequality, Jordan's inequality, concave function, trigonometric inequality, algebraic-trigonometric inequality, Jordan inequality, Inequalities for trigonometric functions and polynomials, trigonometric inequality, concave function, Inequalities involving other types of functions, algebraic-trigonometric inequality, Laub-Ilani inequality
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
OpenCitations Citation Count
1
Source
Bulletin of the Australian Mathematical Society
Volume
96
Issue
1
Start Page
87
End Page
97
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Citations
Scopus : 3
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3
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3
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