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How to find two nondecreasing functions $f$ and $g$ such that $(\alpha x - \beta y)(f(x) - g(y)) \ge 0$?

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#functions #inequality #functional-inequalities
31
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Is it possible to find an upper bound and a lower bound for $(f(\xi)-f(\tilde{\xi}))^T(\frac{\partial f}{\partial \xi}(\bar{\xi}))(\xi-\tilde{\xi})$?

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#functions #derivatives #inequality #nonlinear-system #functional-inequalities
168
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Sobolev Inequality with powers

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#functional-analysis #partial-differential-equations #normed-spaces #functional-inequalities
81
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Variational Problem on a manifold - bounding my functional from below

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#functional-analysis #partial-differential-equations #manifolds #functional-inequalities
131
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Uniformly Bounded in a Schauder Norm

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#functional-analysis #normed-spaces #holder-spaces #functional-inequalities
98
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Taylor's Theorem and inequalities on some interval of the domain?

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#real-analysis #taylor-expansion #functional-inequalities
193
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submodular-like functions on $\mathbb{R}$

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#real-analysis #functions #functional-equations #functional-inequalities
126
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Missing a necessary power in this proof - please help.

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#functional-analysis #partial-differential-equations #normed-spaces #functional-inequalities
369
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Help explain why the proof works - Gradient Estimate Using the Maximum Principle

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#analysis #functional-analysis #differential-geometry #partial-differential-equations #functional-inequalities
172
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Inequality with Bessel Functions of the first kind

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#functional-inequalities #bessel-functions
384
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Show that $|f'(x)| \le \frac{2M_0}{h} +\frac{hM_2}{2}$ and $M_1 \le 2\sqrt{M_0M_2}$

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#real-analysis #taylor-expansion #functional-inequalities
762
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A unsolved puzzle from Number Theory/ Functional inequalities

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#number-theory #inequality #functional-equations #functional-inequalities #multiplicative-function
360
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Bounded almost-homomorphisms on the integers

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#real-analysis #group-theory #functional-inequalities
110
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$f(x)=\sec(x)$ inequality inconsistency\trouble

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#algebra-precalculus #trigonometry #inequality #functional-inequalities
1k
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Questioning a Proof of Khinchine Inequality

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#inequality #integral-inequality #functional-inequalities

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