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Recent questions tagged convex-sets-functions
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1
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TIFR CSE 2019 | Part A | Question: 6
A function $f: \mathbb{R} \rightarrow \mathbb{R}$ is said to be $\textit{convex}$ if for all $x,y \in \mathbb{R}$ and $\lambda$ such that $0 \leq \lambda \leq1,$ $f(\lambda x+ (1-\lambda)y) \leq \lambda f (x) + (1-\lambda) f(y)$. Let $f:$\ ... . Which of the functions $p,q$ and $r$ must be convex? Only $p$ Only $q$ Only $r$ Only $p$ and $r$ Only $q$ and $r$
Arjun
asked
in
Set Theory & Algebra
Dec 18, 2018
by
Arjun
1.0k
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tifr2019
set-theory&algebra
functions
convex-sets-functions
non-gate
2
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0
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2
TIFR CSE 2014 | Part A | Question: 12
Let $f(x)= 2^{x}$. Consider the following inequality for real numbers $a, b$ and $0 < \lambda < 1$: $f(\lambda a + b) \leq \lambda f(a) + (1 - \lambda) f (\frac{b}{1 - \lambda})$. Consider the ... $(2)$. The above inequality holds under all the three conditions. The above inequality holds under none of the three conditions.
makhdoom ghaya
asked
in
Quantitative Aptitude
Nov 14, 2015
by
makhdoom ghaya
476
views
tifr2014
quantitative-aptitude
convex-sets-functions
non-gate
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