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New posts in integral-inequality
$\int_a^bf^2(x)\,dx\le \frac{2}{3}\int_a^bf(x)\,dx$ for a convex differentiable function
real-analysis
inequality
convex-analysis
integral-inequality
Integral Inequality $|\int_0^x f(t)dt|\le \frac{2}{81}\max_{0\le x\le1}|f^{''}(x)|$
integration
integral-inequality
How prove this $\left(\int_{-\pi}^{\pi}f(x)\sin{x}dx\right)^2+\left(\int_{-\pi}^{\pi}f(x)\cos{x}dx\right)^2\le\frac{\pi}{2}\int_{-\pi}^{+\pi}f^2(x)dx$
integral-inequality
Prove an integral inequality $|\int\limits_0^1f(x)dx|\leq\frac{1-a+b}{4}M$ [closed]
integration
integral-inequality
How to prove Cauchy-Schwarz integral inequality?
multivariable-calculus
integral-inequality
Is this function decreasing in $x$?
calculus
integration
inequality
integral-inequality
error-function
Show inequality of integrals (cauchy-schwarz??)
integral-inequality
cauchy-schwarz-inequality
Prove $1.43 < \int_0^1 e^{x^2}\,\mathrm{d}x < \frac{e+1}{2}$
calculus
inequality
integral-inequality
$L^2$ norm and $L^{\infty}$ inequality for periodic smooth functions
analysis
measure-theory
lebesgue-integral
lp-spaces
integral-inequality
Prove the following integral inequality: $\int_{0}^{1}(f''(x))^2dx\ge 1920\left(\int_{0}^{1}f(x)dx\right)^2$
integral-inequality
A problem from the Shortlist of the Romanian Mathematics Olympiad
real-analysis
inequality
definite-integrals
contest-math
integral-inequality
Prove Friedrichs' inequality
ordinary-differential-equations
inequality
sobolev-spaces
integral-inequality
Prove that $f(1)-f(1/e)\le \int_0^1 \sqrt{x} f'(x) dx$
calculus
integration
inequality
definite-integrals
integral-inequality
Which conditions must fulfill $f(t)$ to have an absolute-integrable Fourier Transform $F(w)$: $\int\limits_{-\infty}^\infty |F(w)| dw < \infty$?
analysis
fourier-analysis
fourier-transform
upper-lower-bounds
integral-inequality
How prove this integral inequality $\int_{0}^{s}f(x)\,dx\le\int_{s}^{1}f(x)\,dx\le\dfrac{s}{1-s}\int_{0}^{s}f(x)\,dx$
integration
inequality
integral-inequality
How to prove $\int_0^1 f^2(x)\cdot f'^4(x)\ dx\leq \int_0^1 f^4(x)\cdot f''^2(x)\ dx$ [closed]
inequality
definite-integrals
integral-inequality
How to prove that there exists $g(x)$ such $\int_{0}^{1}g(x)dx\ge\frac{1}{2}\int_{0}^{1}f(x)dx$
analysis
integration
integral-inequality
How prove this $\int_{a}^{b}[f''(x)]^2dx\ge\dfrac{4}{b-a}$
integral-inequality
How to prove that $\frac{2}{\pi}\int_{x}^{px}\left(\frac{\sin{t}}{t}\right)^2\,\mathrm dt\le 1-\dfrac{1}{p}$ for $p >1, x\ge0$
integral-inequality
Prove that $\int_a^bxf(x)dx\geq\frac{b+a}{2}\int_a^bf(x)dx$
real-analysis
integration
integral-inequality
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