Network profile

user2838619

Reputation

2,818

2.8k
2.6k
2.4k

2018
2019
2020
2021

Top tag

inequality

Next privilege

3,000 Rep.

Cast close & reopen votes

Badges

15

37

Newest

Popular Question

Next badge

183/500

Impact

17 posts edited

183 helpful flags

641 votes cast

Questions (73)

Votes Activity Newest

13	Solving $x_1+x_2=x_3^2, x_2+x_3=x_4^2, x_3+x_4=x_5^2,x_4+x_5=x_1^2, x_5+x_1=x_2^2$ in reals
9	How many $10$ digit number exists that sum of their digits is equal to $15$?
8	Prove two of $\frac{2}{a}+\frac{3}{b}+\frac{6}{c}\geq 6,\frac{2}{b}+\frac{3}{c}+\frac{6}{a}\geq 6,\frac{2}{c}+\frac{3}{a}+\frac{6}{b}\geq 6$ are True
8	prove $\frac {ab}{a+b} \geq \sum ^n_{i=1} \frac{a_ib_i}{a_i+b_i}$
7	Solve $x+3y=4y^3,y+3z=4z^3 ,z+3x=4x^3$ in reals

View more →

Reputation (2,818)

+10	Prove $\frac{ab}{\sqrt{2c+a+b}}+\frac{bc}{\sqrt{2a+b+c}}+\frac{ca}{\sqrt{2b+c+a}}\le\sqrt\frac{2}{3}$ if $a+b+c=2$
+10	Factoring $a^4(b-c)+b^4(c-a)+c^4(a-b)$
+10	prove $\frac{a^2}{b}+\frac{b^2}{c}+\frac{c^2}{a} \geq 3(a^2+b^2+c^2)$
+10	Prove that $\sum \limits_{cyc}\frac {a}{(b+c)^2} \geq \frac {9}{4(a+b+c)}$

View more →

Answers (17)

Votes Activity Newest

8	Prove that $\sum \limits_{cyc}\frac {a}{(b+c)^2} \geq \frac {9}{4(a+b+c)}$
8	Prove $\frac{ab}{\sqrt{2c+a+b}}+\frac{bc}{\sqrt{2a+b+c}}+\frac{ca}{\sqrt{2b+c+a}}\le\sqrt\frac{2}{3}$ if $a+b+c=2$
5	The maximum and minimum values of the expression
4	Prove $(x+y)(y+z)(z+x)\ge\frac{8}{3}(x+y+z)\sqrt[3]{x^2y^2z^2}$
2	Solving logarthmic inequality

View more →

Tags (39)

26 inequality × 47	8 summation × 2
8 cauchy-schwarz-inequality × 4	8 symmetric-polynomials × 2
8 a.m.-g.m.-inequality × 3	8 tangent-line-method × 2
8 jensen-inequality × 2	6 trigonometry × 5
8 substitution × 2	5 geometry × 19

View more →

Bookmarks (26)

Votes Activity Newest Views Added

751	Different methods to compute $\sum\limits_{k=1}^\infty \frac{1}{k^2}$ (Basel problem)
215	Is there an elementary proof that $\sum \limits_{k=1}^n \frac1k$ is never an integer?
195	Proving $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx = \frac{\sqrt \pi}{2}$
152	What's the point in being a “skeptical” learner [closed]
151	How to prove Euler's formula: $e^{i\varphi}=\cos(\varphi) +i\sin(\varphi)$?

View more →

Accounts (14)

	Mathematics	2,818 rep	15 silver badges37 bronze badges
	Mathematica	289 rep	1 silver badge12 bronze badges
	Physics	121 rep	1 silver badge7 bronze badges
	Economics	113 rep	3 bronze badges
	Stack Overflow	101 rep	1 bronze badge

Badges (29)

Recent Class Name

Popular Question × 10	Notable Question
Constituent × 4	Nice Question
Caucus × 4	Explainer
Yearling × 6	Talkative
Custodian × 4	Civic Duty

View more →

Active bounties (0)

Active Offered Earned

This user has no active bounties

Votes cast (641)

all time			by type			month
412	up		266	question		1
229	down		375	answer		1

Mathematics Stack Exchange works best with JavaScript enabled