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Michael Rozenberg's user avatar
Michael Rozenberg's user avatar
Michael Rozenberg's user avatar
Michael Rozenberg
  • Member for 5 years, 10 months
  • Last seen more than a month ago
  • Tel-Aviv
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I like to prove inequalities

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question
28
Prove that $\left(\frac{x^n+1}{x^{n-1}+1}\right)^n+\left(\frac{x+1}{2}\right)^n\geq x^n+1$
Aug 2, 2019
question
11
Polynomial inequality of sixth degree
Apr 20, 2020
answer
6
Polynomial inequality of sixth degree
Apr 21, 2020
answer
6
Maximal (minimal) value of $S=x_1^2x_2+x_2^2x_3+\cdots+x_{n-1}^2x_n+x_n^2x_1$ on condition that $x_1^2+x_2^2+\cdots+x_n^2=1$
Feb 8, 2021
question
5
Polynomial inequality $n^2\sum_{i=1}^na_i^3\geq\left(\sum_{i=1}^na_i\right)^3$
Apr 18, 2020
question
5
Inequality of two variables
Mar 17, 2021
answer
3
Prove that this expression is greater than 1/2
Jul 28, 2019
answer
3
Elementary inhomogeneous inequality for three non-negative reals
Nov 6, 2020
answer
3
How to prove this high-degree inequality
Mar 10, 2021
answer
3
Representing a symmetric polynomial as a conical sum of squares
May 20, 2021
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113
Show that $(2,0,4) , (4,1,-1) , (6,7,7)$ form a right triangle
89
If $a+b=1$ then $a^{4b^2}+b^{4a^2}\leq1$
62
Why does the discriminant in the Quadratic Formula reveal the number of real solutions?
58
How to simplify $\int{\sqrt[4]{1-8{{x}^{2}}+8{{x}^{4}}-4x\sqrt{{{x}^{2}}-1}+8{{x}^{3}}\sqrt{{{x}^{2}}-1}}dx}$?
50
Can the product of three complex numbers ever be real?