Every linear function has a convex hypograph. True or false?
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a linear function is the only function that is both convex and concave at the same time. But a function is concave if and only if its hypograph is a convex set.
Therefore I would say that the statement is true?
convex-analysis
asked Jan 24 at 10:57
Sofia Sofia
62
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add a comment |
$begingroup$
a linear function is the only function that is both convex and concave at the same time. But a function is concave if and only if its hypograph is a convex set.
Therefore I would say that the statement is true?
convex-analysis
asked Jan 24 at 10:57
Sofia Sofia
62
$endgroup$
1
$begingroup$
you are correct
$endgroup$
– LinAlg
Jan 25 at 2:24
add a comment |
$begingroup$
a linear function is the only function that is both convex and concave at the same time. But a function is concave if and only if its hypograph is a convex set.
Therefore I would say that the statement is true?
convex-analysis
asked Jan 24 at 10:57
Sofia Sofia
62
$endgroup$
a linear function is the only function that is both convex and concave at the same time. But a function is concave if and only if its hypograph is a convex set.
Therefore I would say that the statement is true?
convex-analysis
convex-analysis
asked Jan 24 at 10:57
Sofia Sofia
62
asked Jan 24 at 10:57
Sofia Sofia
62
asked Jan 24 at 10:57
Sofia Sofia
62
asked Jan 24 at 10:57
Sofia Sofia
62
asked Jan 24 at 10:57
Sofia Sofia
62
62
1
$begingroup$
you are correct
$endgroup$
– LinAlg
Jan 25 at 2:24
add a comment |
1
$begingroup$
you are correct
$endgroup$
– LinAlg
Jan 25 at 2:24
1
1
$begingroup$
you are correct
$endgroup$
– LinAlg
Jan 25 at 2:24
$begingroup$
you are correct
$endgroup$
– LinAlg
Jan 25 at 2:24
add a comment |
0
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$begingroup$
you are correct
$endgroup$
– LinAlg
Jan 25 at 2:24