NEW ALGEBRAIC-TRIGONOMETRIC INEQUALITIES OF LAUB-ILANI TYPE

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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.

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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

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0101 mathematics, 01 natural sciences

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1

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96

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1

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87

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97

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Scopus : 3

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3

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3

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