List questions from holder-inequality

Published on 27 Jan 2024 - 5:12

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Taking the limit in Holder's inequality

Published on 30 Jan 2024 - 21:40

337

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Minimal order of $\bigg|\sum\limits_{k=1}^na^3_k\bigg|$ given $\bigg|\sum\limits_{k=1}^na_k\bigg|\geq\sqrt{n}$

Published on 01 Feb 2024 - 20:14

29

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Ratio involving $l_p$ norms

Published on 04 Feb 2024 - 8:26

41

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Comment on the uniqueness of the solution of ODE

Published on 25 Mar 2026 - 20:19

17

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Understanding the Theorem in Sec . 7.8. of Titchmarsh's Book

Published on 13 Mar 2026 - 12:18

24

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Does this inequality for sums hold for integrals too?

Published on 12 Mar 2024 - 9:26

47

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Equation $x^4+ax^3+bx^2+ax+1=0$ has at least 1 real root. $a,b \in \mathbb{R}$ What's the minimum value of $(a^2+b^2)$?

Published on 18 Mar 2024 - 21:37

14

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Integral estimate with Young's inequality

Published on 02 Mar 2026 - 7:10

100

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Bound on convolution: $ | (h * f^2) (x)| \leq \| f\|^2_2 g(h)$

Published on 24 Mar 2024 - 13:48

52

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Prove an integral inequality with squared integrals

Published on 25 Mar 2024 - 14:28

59

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Show the inequality $\sum_{\text{cyc}} \sqrt{\frac{a^3}{b^3 + (c+a)^3}} \ge 1$

Published on 26 Mar 2026 - 9:27

13

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How to prove the $\alpha$ th derivative of $f(y) = y^{\alpha + \gamma} (1-y)^{\alpha + \gamma}$ is Holder's continuous w.r.t. $\gamma$

Published on 28 Feb 2026 - 10:07

172

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Inequalites of triangle side with $abc = 1$

Published on 26 Mar 2026 - 6:34

361

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Inequality in Algebra: $1 \leq x_1 x_2 \cdots x_n$ implies that $2^{n} \leq (1 + x_1)(1+x_2) \cdots (1 + x_n).$

Published on 04 May 2015 - 9:02

List Question

Lyapunov inequality and $L^p$ interpolation

Taking the limit in Holder's inequality

Minimal order of $\bigg|\sum\limits_{k=1}^na^3_k\bigg|$ given $\bigg|\sum\limits_{k=1}^na_k\bigg|\geq\sqrt{n}$

Ratio involving $l_p$ norms

Comment on the uniqueness of the solution of ODE

Understanding the Theorem in Sec . 7.8. of Titchmarsh's Book

Does this inequality for sums hold for integrals too?

Equation $x^4+ax^3+bx^2+ax+1=0$ has at least 1 real root. $a,b \in \mathbb{R}$ What's the minimum value of $(a^2+b^2)$?

Integral estimate with Young's inequality

Bound on convolution: $ | (h * f^2) (x)| \leq \| f\|^2_2 g(h)$

Prove an integral inequality with squared integrals

Show the inequality $\sum_{\text{cyc}} \sqrt{\frac{a^3}{b^3 + (c+a)^3}} \ge 1$

How to prove the $\alpha$ th derivative of $f(y) = y^{\alpha + \gamma} (1-y)^{\alpha + \gamma}$ is Holder's continuous w.r.t. $\gamma$

Inequalites of triangle side with $abc = 1$

Inequality in Algebra: $1 \leq x_1 x_2 \cdots x_n$ implies that $2^{n} \leq (1 + x_1)(1+x_2) \cdots (1 + x_n).$

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