query: Integration Inequalities
positive_passages.docid: 141979
positive_passages.text: Show that $1.222 \le 1 + 3^{-2} + 5^{-2} + ... \le 1.252$
negative_passages.docid: 81742
negative_passages.text: Integral inequality (Cauchy-Schwarz)
negative_passages.docid: 62856
negative_passages.text: How to evaluate these two integrals.
negative_passages.docid: 32722
negative_passages.text: Necessity of Brackets for Integration
negative_passages.docid: 150756
negative_passages.text: Equality of integrals
negative_passages.docid: 108284
negative_passages.text: Integration and existence of an antiderivative
negative_passages.docid: 47498
negative_passages.text: Integration and theorems on continuous functions
negative_passages.docid: 44653
negative_passages.text: $(\int f_1d\mu)^2+\cdots+(\int f_nd\mu)^2\leq(\int \sqrt{f_1^2+\cdots+f_n^2}d\mu)^2$
negative_passages.docid: 119700
negative_passages.text: Integrating real valued functions
negative_passages.docid: 148914
negative_passages.text: Total Variation and indefinite integrals
negative_passages.docid: 106191
negative_passages.text: Integrating Floor Functions
negative_passages.docid: 6520
negative_passages.text: Hardy's Inequality for Integrals
negative_passages.docid: 6280
negative_passages.text: Homogenization, what it is in inequalities and how to utilize it to its fullest.
negative_passages.docid: 151148
negative_passages.text: How to solve simultaneous inequalities?
negative_passages.docid: 128495
negative_passages.text: Integral Inequality $|f''(x)/f(x)|$
negative_passages.docid: 27587
negative_passages.text: inequality on the unit disk
negative_passages.docid: 133337
negative_passages.text: A little integration paradox