List questions from integral-inequality

495

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How prove this inequality $ 1-\cos (xy) \le\int_0^xf(t) \sin {(tf(t))}dt + \int_0^y f^{-1}(t) \sin{(tf^{-1}(t))} dt .$

Published on 27 Jan 2014 - 3:48

1.2k

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Cauchy-Schwarz-like inequality of integrals

Published on 03 Feb 2014 - 1:13

88

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proof for inequality

Published on 05 Feb 2014 - 8:51

65

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A monotonicity property for ratios of power means

Published on 10 Feb 2014 - 22:34

5.5k

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how do you show one definite integral is less than another definite integral over the same region?

Published on 15 Feb 2014 - 17:09

291

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Integral inequality for continuous function

Published on 19 Feb 2014 - 9:38

7.7k

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Cauchy–Schwarz inequality on vector-valued L2 space

Published on 21 Feb 2014 - 16:05

99

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Does Jensen's inequality become stricter with respect to the right boundary point?

Published on 25 Feb 2014 - 21:57

244

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use plancherel theorem to prove an integral inequality

Published on 27 Feb 2014 - 17:30

422

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How to apply Plancherel Theorem here?

Published on 27 Feb 2014 - 18:04

9.5k

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Proof of Wirtinger inequality

Published on 06 Mar 2014 - 20:16

75

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How to prove: $\int d^3 x d^3 yf(|\mathbf{x}-\mathbf{y}|) \phi_1(\mathbf{x})\phi_2^(\mathbf{x})\phi_2(\mathbf{y})\phi_1^(\mathbf{y})>0.$

Published on 09 Apr 2017 - 19:59

902

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Reverse of Holder's Inequality

Published on 13 Apr 2017 - 5:24

282

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Proving that $L^p \cap L^{\infty} \supset L^r$ where $1 \leq p <r < \infty$

Published on 13 Apr 2017 - 7:10

682

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Upper-bound of an integral

Published on 19 Apr 2017 - 14:57

List Question

How prove this inequality $ 1-\cos (xy) \le\int_0^xf(t) \sin {(tf(t))}dt + \int_0^y f^{-1}(t) \sin{(tf^{-1}(t))} dt .$

Cauchy-Schwarz-like inequality of integrals

proof for inequality

A monotonicity property for ratios of power means

how do you show one definite integral is less than another definite integral over the same region?

Integral inequality for continuous function

Cauchy–Schwarz inequality on vector-valued L2 space

Does Jensen's inequality become stricter with respect to the right boundary point?

use plancherel theorem to prove an integral inequality

How to apply Plancherel Theorem here?

Proof of Wirtinger inequality

How to prove: $\int d^3 x d^3 yf(|\mathbf{x}-\mathbf{y}|) \phi_1(\mathbf{x})\phi_2^(\mathbf{x})\phi_2(\mathbf{y})\phi_1^(\mathbf{y})>0.$

Reverse of Holder's Inequality

Proving that $L^p \cap L^{\infty} \supset L^r$ where $1 \leq p <r < \infty$

Upper-bound of an integral

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