List questions from karamata-inequality

Published on 23 Aug 2023 - 1:31

213

Views

$(1+a_1)(1+a_2)...(1+a_n) \geq 1+a_1 + a_2 +...+a_n $

Published on 16 Oct 2023 - 19:03

398

Views

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

Published on 05 Mar 2015 - 22:35

1.5k

Views

If a,b,c are sides of a triangle, prove: $ \sqrt{a+b-c} + \sqrt{b+c-a} + \sqrt{c+a-b} \le \sqrt{a} + \sqrt{b} + \sqrt{c} $

Published on 31 Jul 2013 - 16:28

274

Views

How prove this inequality

Published on 20 Sep 2013 - 6:30

1.5k

Views

Maximum of $x^3+y^3+z^3$ with $x+y+z=3$

Published on 06 May 2017 - 13:47

218

Views

How do I go about solving this equation? $3^x + 10^x = 4^x + 9^x$

Published on 13 May 2017 - 11:27

88

Views

Petrovic and Jensen inequaltiy

Published on 24 May 2017 - 8:51

491

Views

Upper bound for sum of exponentials

Published on 26 May 2017 - 9:26

60

Views

simple arithmetic inequality

Published on 10 Jun 2017 - 10:59

139

Views

Somebody help me please. I have a difficult inequality.

Published on 23 Jun 2017 - 3:02

104

Views

If $n\geq m$ then $(x^m+y^m)^{1/m} \ge (x^n+y^n)^{1/n}$

Published on 21 Aug 2017 - 8:59

126

Views

Find maximize and minimize of $P=x+y$

Published on 10 Sep 2017 - 12:01

34

Views

Whether $(a-k)^p-(a-h)^p\ge (h-k)^p$ for all $a>h>k>0 ,~ p\ge 1$?

Published on 09 Oct 2017 - 6:45

358

Views

Showing that $ 1<\sin\frac{\alpha}{2}+\sin\frac{\beta}{2}+\sin\frac{\gamma}{2}$

Published on 01 Sep 2012 - 15:23

List Question

Can we prove Am-GM Inequality using Karamata’s Inequality?

$(1+a_1)(1+a_2)...(1+a_n) \geq 1+a_1 + a_2 +...+a_n $

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

If a,b,c are sides of a triangle, prove: $ \sqrt{a+b-c} + \sqrt{b+c-a} + \sqrt{c+a-b} \le \sqrt{a} + \sqrt{b} + \sqrt{c} $

How prove this inequality

Maximum of $x^3+y^3+z^3$ with $x+y+z=3$

How do I go about solving this equation? $3^x + 10^x = 4^x + 9^x$

Petrovic and Jensen inequaltiy

Upper bound for sum of exponentials

simple arithmetic inequality

Somebody help me please. I have a difficult inequality.

If $n\geq m$ then $(x^m+y^m)^{1/m} \ge (x^n+y^n)^{1/n}$

Find maximize and minimize of $P=x+y$

Whether $(a-k)^p-(a-h)^p\ge (h-k)^p$ for all $a>h>k>0 ,~ p\ge 1$?

Showing that $ 1<\sin\frac{\alpha}{2}+\sin\frac{\beta}{2}+\sin\frac{\gamma}{2}$

Trending Questions

Popular # Hahtags

Popular Questions