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If $f=g/h$ and $g, h$ differentiable, then is $f$ pseudoconvex?
The Next CEO of Stack OverflowCan one define the derivative of a function using tangent cones? Does such a notion already exist?Strictly Convex and Differentiable ImpliesDifferentiable Strictly Convex Function on IntervalExistence of a continuously differentiable function from the projection of a convex setIs the ratio of a convex and linear function pseudoconvex?Convex and continuous function on compact set implies LipschitzContinuously differentiable function injective on convex setIf $f$ is quasiconvex and differentiable then $f$ is convex?Relationship between $langle nabla f(overlinex), x - overlinexrangle > 0$ and the the minimality of $overlinex$.Show that f is both pseudoconvex and pseudoconcave
$begingroup$
Let $g:SrightarrowmathbbR$ and $h:SrightarrowmathbbR$, let $SsubsetmathbbR^n$ an open subset such that $Sneq0$.
If $f:Srightarrow mathbbR$ defined by $f(x)=g(x)/h(x)$, and $g$ and $f$ are differentiable, then show that f is pseudoconvex.
convex-analysis
edited yesterday
Floris Claassens
1,15727
asked yesterday
Valentina SauValentina Sau
12
New contributor
Valentina Sau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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$endgroup$
add a comment |
$begingroup$
Let $g:SrightarrowmathbbR$ and $h:SrightarrowmathbbR$, let $SsubsetmathbbR^n$ an open subset such that $Sneq0$.
If $f:Srightarrow mathbbR$ defined by $f(x)=g(x)/h(x)$, and $g$ and $f$ are differentiable, then show that f is pseudoconvex.
convex-analysis
edited yesterday
Floris Claassens
1,15727
asked yesterday
Valentina SauValentina Sau
12
New contributor
Valentina Sau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
Where did you get stuck? Show your attempt. Also, please follow the instructions from here when writing math.
$endgroup$
– mwt
yesterday
add a comment |
$begingroup$
Let $g:SrightarrowmathbbR$ and $h:SrightarrowmathbbR$, let $SsubsetmathbbR^n$ an open subset such that $Sneq0$.
If $f:Srightarrow mathbbR$ defined by $f(x)=g(x)/h(x)$, and $g$ and $f$ are differentiable, then show that f is pseudoconvex.
convex-analysis
edited yesterday
Floris Claassens
1,15727
asked yesterday
Valentina SauValentina Sau
12
New contributor
Valentina Sau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Let $g:SrightarrowmathbbR$ and $h:SrightarrowmathbbR$, let $SsubsetmathbbR^n$ an open subset such that $Sneq0$.
If $f:Srightarrow mathbbR$ defined by $f(x)=g(x)/h(x)$, and $g$ and $f$ are differentiable, then show that f is pseudoconvex.
convex-analysis
convex-analysis
edited yesterday
Floris Claassens
1,15727
asked yesterday
Valentina SauValentina Sau
12
New contributor
Valentina Sau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited yesterday
Floris Claassens
1,15727
asked yesterday
Valentina SauValentina Sau
12
New contributor
Valentina Sau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited yesterday
Floris Claassens
1,15727
edited yesterday
Floris Claassens
1,15727
edited yesterday
Floris Claassens
1,15727
1,15727
asked yesterday
Valentina SauValentina Sau
12
New contributor
Valentina Sau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked yesterday
Valentina SauValentina Sau
12
asked yesterday
Valentina SauValentina Sau
12
12
New contributor
Valentina Sau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Valentina Sau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Valentina Sau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
Where did you get stuck? Show your attempt. Also, please follow the instructions from here when writing math.
$endgroup$
– mwt
yesterday
add a comment |
$begingroup$
Where did you get stuck? Show your attempt. Also, please follow the instructions from here when writing math.
$endgroup$
– mwt
yesterday
$begingroup$
Where did you get stuck? Show your attempt. Also, please follow the instructions from here when writing math.
$endgroup$
– mwt
yesterday
$begingroup$
Where did you get stuck? Show your attempt. Also, please follow the instructions from here when writing math.
$endgroup$
– mwt
yesterday
add a comment |
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$begingroup$
Where did you get stuck? Show your attempt. Also, please follow the instructions from here when writing math.
$endgroup$
– mwt
yesterday