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Recent questions tagged convex-sets-functions
2
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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 $r$
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(...
Arjun
1.0k
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Arjun
asked
Dec 18, 2018
Set Theory & Algebra
tifr2019
set-theory&algebra
functions
convex-sets-functions
non-gate
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–
2
votes
0
answers
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.
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 - \la...
makhdoom ghaya
475
views
makhdoom ghaya
asked
Nov 14, 2015
Quantitative Aptitude
tifr2014
quantitative-aptitude
convex-sets-functions
non-gate
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