Lower semi continuous [closed]
$begingroup$
Let $psi:[0,infty) to [0, infty)$ be a map satisfying
(i) $psi$ is lower semicontinuous,
(ii) $psi$ is non-decreasing,
(iii) $psi(t)=0$ if and only if $t=0$.
If ${x_n}$ is a sequence in $(0, infty)$ then is it true that
$psi(liminflimits_{n to infty} x_n) leq liminflimits_{n to infty} psi(x_n)$ ?
real-analysis
asked Jan 5 at 5:58
Manu RohillaManu Rohilla
13619
$endgroup$
closed as off-topic by Saad, Antonios-Alexandros Robotis, RRL, Nosrati, Rhys Steele Jan 5 at 13:02
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Antonios-Alexandros Robotis, RRL, Nosrati, Rhys Steele
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
Let $psi:[0,infty) to [0, infty)$ be a map satisfying
(i) $psi$ is lower semicontinuous,
(ii) $psi$ is non-decreasing,
(iii) $psi(t)=0$ if and only if $t=0$.
If ${x_n}$ is a sequence in $(0, infty)$ then is it true that
$psi(liminflimits_{n to infty} x_n) leq liminflimits_{n to infty} psi(x_n)$ ?
real-analysis
asked Jan 5 at 5:58
Manu RohillaManu Rohilla
13619
$endgroup$
closed as off-topic by Saad, Antonios-Alexandros Robotis, RRL, Nosrati, Rhys Steele Jan 5 at 13:02
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Antonios-Alexandros Robotis, RRL, Nosrati, Rhys Steele
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
Let $psi:[0,infty) to [0, infty)$ be a map satisfying
(i) $psi$ is lower semicontinuous,
(ii) $psi$ is non-decreasing,
(iii) $psi(t)=0$ if and only if $t=0$.
If ${x_n}$ is a sequence in $(0, infty)$ then is it true that
$psi(liminflimits_{n to infty} x_n) leq liminflimits_{n to infty} psi(x_n)$ ?
real-analysis
asked Jan 5 at 5:58
Manu RohillaManu Rohilla
13619
$endgroup$
Let $psi:[0,infty) to [0, infty)$ be a map satisfying
(i) $psi$ is lower semicontinuous,
(ii) $psi$ is non-decreasing,
(iii) $psi(t)=0$ if and only if $t=0$.
If ${x_n}$ is a sequence in $(0, infty)$ then is it true that
$psi(liminflimits_{n to infty} x_n) leq liminflimits_{n to infty} psi(x_n)$ ?
real-analysis
real-analysis
asked Jan 5 at 5:58
Manu RohillaManu Rohilla
13619
asked Jan 5 at 5:58
Manu RohillaManu Rohilla
13619
asked Jan 5 at 5:58
Manu RohillaManu Rohilla
13619
asked Jan 5 at 5:58
Manu RohillaManu Rohilla
13619
asked Jan 5 at 5:58
Manu RohillaManu Rohilla
13619
13619
closed as off-topic by Saad, Antonios-Alexandros Robotis, RRL, Nosrati, Rhys Steele Jan 5 at 13:02
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Antonios-Alexandros Robotis, RRL, Nosrati, Rhys Steele
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Saad, Antonios-Alexandros Robotis, RRL, Nosrati, Rhys Steele Jan 5 at 13:02
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Antonios-Alexandros Robotis, RRL, Nosrati, Rhys Steele
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
add a comment |
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