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15
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Given $f'(x)\leq 1-f(x)^2$, prove $|f(x)|\leq 1$

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#ordinary-differential-equations #upper-lower-bounds
89
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What is the asymptotic series of :$I(a)=\int_{0}^a {(e^{-x²})}^{\operatorname{erf}(x)}dx $ and does it have a complementary function?

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#asymptotics #error-function #upper-lower-bounds #universal-property
62
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Upper bound on choosing at least $k$ items out of $n$

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#combinatorics #closed-form #upper-lower-bounds
164
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Proving the upper bound of the sequence in converging power series

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#complex-analysis #power-series #limsup-and-liminf #upper-lower-bounds
33
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Check the inequality of rational function with real numbers and positive weights

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#real-analysis #inequality #upper-lower-bounds
1.6k
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Find the error of using an interpolating polynomial of degree 20 to approximate e^−x

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#polynomials #numerical-methods #interpolation #upper-lower-bounds #lagrange-interpolation
183
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How does the triangle inequality work here?

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#inequality #contour-integration #upper-lower-bounds
83
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Proving $-2 < \int_a^{+\infty} \frac{\sin(t)}{t}\,\mathrm dt < 2$ for $a>0$

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#integration #upper-lower-bounds
461
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Quadratic polynomial is nonnegative if and only if a matrix is positive semidefinite.

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#polynomials #quadratic-forms #upper-lower-bounds #positive-semidefinite
516
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An interesting integral $\cos(x)\cos(x^2)\cos(x^3)...$

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#trigonometric-integrals #upper-lower-bounds
134
Views

Upper Bounds on Contour Integral $\frac{1}{Length(C)}\ \left| \int_{C}zdz\right| \le 2^{-1/6}$

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#complex-analysis #complex-numbers #contour-integration #complex-integration #upper-lower-bounds
49
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How to show a given bound

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#analysis #polynomials #upper-lower-bounds
1.1k
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Lower bound of log(1-x)

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#upper-lower-bounds
108
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Dice Which Sum to Primes

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#probability #combinatorics #number-theory #prime-numbers #upper-lower-bounds
211
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zero-mean RV $$ with finite fourth moment, probability of being positive

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#probability #inequality #expectation #upper-lower-bounds

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