New posts in means

Problems with Set Function

For positive real numbers $a,b$ prove that $\sqrt[3]{2(a+b)(\frac{1}{a}+\frac{1}{b})}\ge\sqrt[3]{\frac{a}{b}}+\sqrt[3]{\frac{b}{a}}$.

Prove that: $\sqrt[3]{a_1^3+ a_2^3 +\cdots+a_n^3} \le \sqrt{a_1^2 + a_2^2 +\cdots+a_n^2}$ [duplicate]

Arithmetic-quadratic mean and other "means by limits of means"

A continuous function defined on an interval can have a mean value. What about a median?

A known closed form for Borchardt mean (generalization of AGM) - why doesn't it work?

Break down Simple Moving Average formula

Why is the $0$th power mean defined to be the geometric mean?

Why square a constant when determining variance of a random variable?

GMAT related question: If the standard deviation of $a,b$ and $c$ is $d$. What is the standard deviation of $105\%$ of $a$ ,$105b/100$ and $1.05c$?

How can I Prove $\frac{2xy}{x+y}\leq \sqrt{xy}\leq \frac{x+y}{2}$

Is there a name for this "mean"?

Prove this integral $\int_0^\infty \frac{dx}{\sqrt{x^4+a^4}+\sqrt{x^4+b^4}}=\frac{\Gamma(1/4)^2 }{6 \sqrt{\pi}} \frac{a^3-b^3}{a^4-b^4}$

About an inequality including arithmetic mean, geometric mean and harmonic mean

What happens if you repeatedly take the arithmetic mean and geometric mean?

Is a definite integral just a summation?

Arithmetic mean. Why does it work?

Which power means are constructible?

For what values does the geothmetic meandian converge?

How do we find the structure of a set with the most equidistribution using entropy?