Some new inequalities for means in two variables
نویسندگان
چکیده
منابع مشابه
Some New Inequalities for Means of Two Arguments
We prove certain new inequalities for special means of two arguments, including the identric, arithmetic, and geometric means. 2000 Mathematics Subject Classification. Primary 26D99, 65D32.
متن کاملSOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES
In this paper, the concepts of positive dependence and linearlypositive quadrant dependence are introduced for fuzzy random variables. Also,an inequality is obtained for partial sums of linearly positive quadrant depen-dent fuzzy random variables. Moreover, a weak law of large numbers is estab-lished for linearly positive quadrant dependent fuzzy random variables. Weextend some well known inequ...
متن کاملNote on Certain Inequalities for Means in Two Variables
Given the positive real numbers x and y, let A(x, y), G(x, y), and I(x, y) denote their arithmetic mean, geometric mean, and identric mean, respectively. It is proved that for p ≥ 2, the double inequality αA(x, y) + (1− α)G(x, y) < I(x, y) < βA(x, y) + (1− β)G(x, y) holds true for all positive real numbers x 6= y if and only if α ≤ ( 2 e )p and β ≥ 23 . This result complements a similar one est...
متن کاملSome integral inequalities for functions of two variables
In this article, we establish some integral inequalities for function with two independent variables. Also we show applications of these inequalities for finding bounds of solutions to partial differential equations.
متن کاملSome Retarded Nonlinear Integral Inequalities in Two Variables and Applications
In this paper, some retarded nonlinear integral inequalities in two variables with more than one distinct nonlinear term are established. Our results are also applied to show the boundedness of the solutions of certain partial differential equations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2008
ISSN: 1331-4343
DOI: 10.7153/mia-11-33