NEW ALGEBRAIC-TRIGONOMETRIC INEQUALITIES OF LAUB–ILANI TYPE

Autor:	Ahmet Yaşar Özban
Rok vydání:	2017
Předmět:	Hölder's inequality Kantorovich inequality Young's inequality General Mathematics 010102 general mathematics Ky Fan inequality 01 natural sciences 010101 applied mathematics Algebra 0101 mathematics Algebraic number Trigonometry Cauchy–Schwarz inequality Mathematics Karamata's inequality
Zdroj:	Bulletin of the Australian Mathematical Society. 96:87-97
ISSN:	1755-1633 0004-9727
DOI:	10.1017/s0004972717000156
Popis:	The Laub–Ilani inequality [‘A subtle inequality’, Amer. Math. Monthly97 (1990), 65–67] states that $x^{x}+y^{y}\geqslant x^{y}+y^{x}$ for nonnegative real numbers $x,y$. We introduce and prove new trigonometric and algebraic-trigonometric inequalities of Laub–Ilani type and propose some conjectural algebraic-trigonometric inequalities of similar forms.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b0e88c2d553739157e09d8b29fadf594 https://doi.org/10.1017/s0004972717000156 Zobrazit plný text záznamu