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Does any one-to-one function exist that satisfies this inequality for all real numbers?

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#real-numbers #functional-inequalities
385
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Difficult but Interesting Inequalities Problems

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#algebra-precalculus #inequality #functional-inequalities
154
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Upper bound for integral over boundary in terms of integral over interior

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#functional-analysis #inequality #normed-spaces #integral-inequality #functional-inequalities
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Inequality between $L^2$- and $L^1$-norms for functions

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#real-analysis #analysis #lebesgue-integral #lebesgue-measure #functional-inequalities
99
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Proving inequality $(x^2+y^2)(y-1)+yx-y^2<0$

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#ordinary-differential-equations #inequality #functional-inequalities
320
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How prove this function inequality $xf(x)>\frac{1}{x}f\left(\frac{1}{x}\right)$

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#analysis #inequality #functional-inequalities
52
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Simplifying Inequality Involving $\sigma$, $\beta$ and $x$

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#linear-algebra #inequality #functional-inequalities
96
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Derivatives of functions satisfying Euler-ish inequality $f(x+y)\le f(x)f(y)$.

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#real-analysis #functions #functional-inequalities
29
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System of multiple inequalities

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#inequality #systems-of-equations #functional-inequalities
67
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Find function $f$ such that $(x-y)(f'(x)-g'(y)) \geq 0$

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#real-analysis #multivariable-calculus #convex-analysis #functional-inequalities
697
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An olympiad-like inequality

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#inequality #contest-math #functional-inequalities #jensen-inequality
87
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Proof of a functional inequality

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#real-analysis #integral-inequality #functional-inequalities
58
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A functional inequality involving maximum and minimum

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#calculus #functional-inequalities
106
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Existence theorems for self adjoint elliptic systems

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#partial-differential-equations #boundary-value-problem #integral-inequality #functional-inequalities #elliptic-equations
44
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Weakly equal functions and its decomposition

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#reference-request #sobolev-spaces #functional-inequalities #weak-topology

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