List questions from inequality

Published on 09 Apr 2026 - 1:07

133

Views

A nifty triangle inequality trick

Published on 09 Apr 2026 - 22:37

1k

Views

Given three a-triangle-sidelengths $a,b,c$. Prove that $3\left((a^{2}b(a-b)+b^{2}c(b-c)+c^{2}a(c-a)\right)\geqq b(a+b-c)(a-c)(c-b)$ .

Published on 22 Apr 2026 - 18:04

123

Views

If $2\int_{0}^{1} xf(x)dx\geq\int_{0}^{1}(f(x))^{2}dx$, prove than $\int_{0}^{1}(f(x))^2dx\geq\frac{4}{3}$

Published on 17 Apr 2026 - 14:06

213

Views

Does replacing $\ge$ by $>$ lead to a strictly inequality too? (integral inequality)

Published on 11 Apr 2026 - 3:50

47

Views

An inequality on mutual entropy

Published on 11 Apr 2026 - 12:01

37

Views

sign of a Symmetric bilinear form

Published on 14 Apr 2026 - 8:33

685

Views

Solve the inequality $x^2 - 3 > 0$

Published on 14 Apr 2026 - 16:09

443

Views

Sum of cross terms vs sum of squares?

Published on 25 Mar 2026 - 9:28

41

Views

Can we include inequalities while solving under determined simultaneous linear equation in reduced Echelon form?

Published on 12 Apr 2026 - 21:27

67

Views

Mix between Slater and Jensen inequality with exponential function

Published on 14 Apr 2026 - 15:53

105

Views

Find the maximum integer $n$ such that $e^{x-1}\ln x+\frac{e^x+2x-1}{x^2} > 2\sqrt{n}-1$

Published on 17 Apr 2026 - 14:46

99

Views

Continuous concave functions

Published on 11 Apr 2026 - 16:36

115

Views

Making the condition $a^{\,2}+ b^{\,2}+ c^{\,2}+ k\,abc= k+ 3$ homogeneous

Published on 15 Apr 2026 - 5:00

88

Views

Maximum and minimum of $x^2+y^2-2x$

Published on 16 Apr 2026 - 12:41

List Question

Proof of inequality (complex analysis)

A nifty triangle inequality trick

Given three a-triangle-sidelengths $a,b,c$. Prove that $3\left((a^{2}b(a-b)+b^{2}c(b-c)+c^{2}a(c-a)\right)\geqq b(a+b-c)(a-c)(c-b)$ .

If $2\int_{0}^{1} xf(x)dx\geq\int_{0}^{1}(f(x))^{2}dx$, prove than $\int_{0}^{1}(f(x))^2dx\geq\frac{4}{3}$

Does replacing $\ge$ by $>$ lead to a strictly inequality too? (integral inequality)

An inequality on mutual entropy

sign of a Symmetric bilinear form

Solve the inequality $x^2 - 3 > 0$

Sum of cross terms vs sum of squares?

Can we include inequalities while solving under determined simultaneous linear equation in reduced Echelon form?

Mix between Slater and Jensen inequality with exponential function

Find the maximum integer $n$ such that $e^{x-1}\ln x+\frac{e^x+2x-1}{x^2} > 2\sqrt{n}-1$

Continuous concave functions

Making the condition $a^{\,2}+ b^{\,2}+ c^{\,2}+ k\,abc= k+ 3$ homogeneous

Maximum and minimum of $x^2+y^2-2x$

Trending Questions

Popular # Hahtags

Popular Questions