Inequalities involving logarithmic mean of arbitrary order
نویسندگان
چکیده
منابع مشابه
Inequalities Among Logarithmic-Mean Measures
In this paper we shall consider some famous means such as arithmetic, harmonic, geometric, logarithmic means, etc. Inequalities involving logarithmic mean with differences among other means are presented.
متن کاملComplementary Inequalities Involving the Stolarsky Mean
Let n be a positive integer and p, q, a, and b real numbers satisfying p > q > 0 and 0 < a < b. It is proved that for the real numbers a1, . . . , an ∈ a, b , the maximum of the function fp,q a1, . . . , an a p 1 · · · a p n /n − aq1 · · · a q n /n p/q is attained if and only if k n of the numbers a1, . . . , an are equal to a and the other n − k n are equal to b, while k n is one of the values...
متن کاملSharp Inequalities Involving Neuman–sándor and Logarithmic Means
Sharp bounds for the Neuman-Sándor mean and for the logarithmic mean are established. The bounding quantities are the one-parameter bivariate means called the p-means. In this paper best values of the parameters of the bounding means are obtained. Mathematics subject classification (2010): 26E60, 26D07, 26D20.
متن کاملBest Possible Inequalities between Generalized Logarithmic Mean and Classical Means
and Applied Analysis 3 Theorem B. For all positive real numbers a and b with a/ b, we have √ G a, b A a, b < √ L a, b I a, b
متن کاملInequalities for J−contractions Involving the Α−power Mean
A selfadjoint involutive matrix J endows C with an indefinite inner product [·, ·] given by [x, y] := 〈Jx, y〉, x, y ∈ C. We present some inequalities of indefinite type involving the α−power mean and the chaotic order. These results are in the vein of those obtained by E. Kamei [6, 7].
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: 2013
ISSN: 1331-4343
DOI: 10.7153/mia-16-36