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New posts in integral-inequality
Prove that $\left|30240\int_{0}^{1}x(1-x)f(x)f'(x)dx\right|\le1$.
real-analysis
calculus
inequality
definite-integrals
integral-inequality
Prove the following integral inequality: $\int_{0}^{1}f(g(x))dx\le\int_{0}^{1}f(x)dx+\int_{0}^{1}g(x)dx$
real-analysis
integration
integral-inequality
On the inequality $ \int_{-\infty}^{+\infty}\frac{(p'(x))^2}{(p'(x))^2+(p(x))^2}\,dx \le n^{3/2}\pi.$
integration
polynomials
improper-integrals
integral-inequality
Integral Inequality Absolute Value: $\left| \int_{a}^{b} f(x) g(x) \ dx \right| \leq \int_{a}^{b} |f(x)|\cdot |g(x)| \ dx$
real-analysis
integration
inequality
absolute-value
integral-inequality
Is this continuous analogue to the AM–GM inequality true?
integration
inequality
integral-inequality
a.m.-g.m.-inequality
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