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Solving an inequality of the form $a\cos(nt) + b\cos(mt) + \cdots > k$

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#trigonometry #signal-processing #functional-inequalities
44
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Why am I getting two different results while solving an inequality that involves L1 norm?

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#linear-algebra #functions #inequality #normed-spaces #functional-inequalities
45
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Assumptions to ensure that ratio of a function is less than ratio of first derivative

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#functional-analysis #derivatives #inequality #curvature #functional-inequalities
141
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Bound the equation

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#discrete-mathematics #inequality #upper-lower-bounds #cauchy-schwarz-inequality #functional-inequalities
100
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Functional inequality from Art of problem solving.

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#functional-inequalities
112
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Assumption of polynomial

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#functions #polynomials #functional-equations #functional-inequalities
18
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Inequalities between arbitrary numbers

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#functional-inequalities
94
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Does $|f(\sqrt{xy})| \le |\frac{f(x)+f(y)}{2}|$ imply $f$ is a logarithm?

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#real-analysis #functional-equations #symmetry #a.m.-g.m.-inequality #functional-inequalities
118
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Does signed midpoint-convexity imply signed convexity?

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#real-analysis #calculus #convex-analysis #examples-counterexamples #functional-inequalities
67
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A functional inequality involving a third derivative condition

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#calculus #inequality #functional-inequalities
415
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Cauchy's functional equation with bounds: $ a \le f ( x ) + f ( y ) - f ( x + y ) \le b $

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#functional-equations #upper-lower-bounds #functional-inequalities
116
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How to prove $|\arctan(2b)-\arctan(2a)| \le 2|b-a|$ for any real numbers $a, b$

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#inequality #functional-inequalities
106
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Let $f : \mathbb R \rightarrow \mathbb R$ satisfy $f(x) \le x$ and $f(x+y) \le f(x)+f(y)$ for all $x,y \in \mathbb R$. Show that $f(x)=x$.

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#algebra-precalculus #functions #contest-math #functional-equations #functional-inequalities
126
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A singular integral

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#multivariable-calculus #convolution #integral-inequality #functional-inequalities #singular-integrals
909
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Poincarè inequality in dimension $n=1$

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#real-analysis #functional-analysis #sobolev-spaces #calculus-of-variations #functional-inequalities

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