query: Bound on integral implies bound on functions.
positive_passages.docid: 28619
positive_passages.text: Bound on integral implies bound on function
negative_passages.docid: 64486
negative_passages.text: Show that for non-negative measurable functions $f,g$ with $fg \geq 1$ the inequality $(\int f^p)(\int g^p) \geq 1$ holds.
negative_passages.docid: 4656
negative_passages.text: Prove that there is a $\delta$ such that $\int_{0}^{1} (f(x))^2dx\leq \delta$$\int_{0}^{1} (f'(x))^2dx$ for all $f$ with these conditions
negative_passages.docid: 33617
negative_passages.text: Prove the inequality involving multiple integrals
negative_passages.docid: 123918
negative_passages.text: Real Analysis, Existence of a Limit Boundedly:$|\int_0^b\frac{sin(ax)}{x}dx | \le c$
negative_passages.docid: 92056
negative_passages.text: An inequality on holomorphic functions
negative_passages.docid: 144656
negative_passages.text: Linear functional and a bounded norm
negative_passages.docid: 30330
negative_passages.text: How can I prove that this function is bounded using the given 2 hints?
negative_passages.docid: 31360
negative_passages.text: Hellinger-Toeplitz Theorem and Uniform Boundedness Principle
negative_passages.docid: 156599
negative_passages.text: Wirtinger Inequality: $\int_0^1 f'^2 \geq \pi^2 \int_0^1 f^2 $
negative_passages.docid: 108560
negative_passages.text: Proof of a Gaussian Integral property
negative_passages.docid: 91352
negative_passages.text: If $\Re(f)$ is bounded then f is constant.
negative_passages.docid: 62901
negative_passages.text: Bound for Analytic Function on Unit Disk
negative_passages.docid: 50730
negative_passages.text: Integral of bounded continuous function on $R$
negative_passages.docid: 93910
negative_passages.text: Equality in Cauchy-Schwarz Inequality implies linear dependence.
negative_passages.docid: 81742
negative_passages.text: Integral inequality (Cauchy-Schwarz)
negative_passages.docid: 131120
negative_passages.text: Proving an integral equation.