What is the best approximation, in the inf-norm on the interval $[-1,1]$, of $cosh(x)$ by a quadratic...
0
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I am studying for an examination and this is a problem from a few years back:
What is the best approximation, in the inf-norm on the interval $[-1,1]$, of $cosh(x)$ by a quadratic polynomial?
Any tips or direction would be great!
optimization norm approximation
edited Jan 3 at 2:08
Blue
48.8k870156
asked Jan 3 at 1:35
FluidManFluidMan
1
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add a comment |
0
$begingroup$
I am studying for an examination and this is a problem from a few years back:
What is the best approximation, in the inf-norm on the interval $[-1,1]$, of $cosh(x)$ by a quadratic polynomial?
Any tips or direction would be great!
optimization norm approximation
edited Jan 3 at 2:08
Blue
48.8k870156
asked Jan 3 at 1:35
FluidManFluidMan
1
$endgroup$
2
$begingroup$
Chebyshev approximation.
$endgroup$
– copper.hat
Jan 3 at 1:49
$begingroup$
What is inf-norm?
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– Kavi Rama Murthy
Jan 3 at 5:54
$begingroup$
the inf norm is the max difference over the interval between the two functions. A.K.A. The infinity norm for functions.
$endgroup$
– FluidMan
Jan 3 at 17:27
add a comment |
0
0
0
1
$begingroup$
I am studying for an examination and this is a problem from a few years back:
What is the best approximation, in the inf-norm on the interval $[-1,1]$, of $cosh(x)$ by a quadratic polynomial?
Any tips or direction would be great!
optimization norm approximation
edited Jan 3 at 2:08
Blue
48.8k870156
asked Jan 3 at 1:35
FluidManFluidMan
1
$endgroup$
I am studying for an examination and this is a problem from a few years back:
What is the best approximation, in the inf-norm on the interval $[-1,1]$, of $cosh(x)$ by a quadratic polynomial?
Any tips or direction would be great!
optimization norm approximation
optimization norm approximation
edited Jan 3 at 2:08
Blue
48.8k870156
asked Jan 3 at 1:35
FluidManFluidMan
1
edited Jan 3 at 2:08
Blue
48.8k870156
asked Jan 3 at 1:35
FluidManFluidMan
1
edited Jan 3 at 2:08
Blue
48.8k870156
edited Jan 3 at 2:08
Blue
48.8k870156
edited Jan 3 at 2:08
Blue
48.8k870156
48.8k870156
asked Jan 3 at 1:35
FluidManFluidMan
1
asked Jan 3 at 1:35
FluidManFluidMan
1
asked Jan 3 at 1:35
FluidManFluidMan
1
1
2
$begingroup$
Chebyshev approximation.
$endgroup$
– copper.hat
Jan 3 at 1:49
$begingroup$
What is inf-norm?
$endgroup$
– Kavi Rama Murthy
Jan 3 at 5:54
$begingroup$
the inf norm is the max difference over the interval between the two functions. A.K.A. The infinity norm for functions.
$endgroup$
– FluidMan
Jan 3 at 17:27
add a comment |
2
$begingroup$
Chebyshev approximation.
$endgroup$
– copper.hat
Jan 3 at 1:49
$begingroup$
What is inf-norm?
$endgroup$
– Kavi Rama Murthy
Jan 3 at 5:54
$begingroup$
the inf norm is the max difference over the interval between the two functions. A.K.A. The infinity norm for functions.
$endgroup$
– FluidMan
Jan 3 at 17:27
2
2
$begingroup$
Chebyshev approximation.
$endgroup$
– copper.hat
Jan 3 at 1:49
$begingroup$
Chebyshev approximation.
$endgroup$
– copper.hat
Jan 3 at 1:49
$begingroup$
What is inf-norm?
$endgroup$
– Kavi Rama Murthy
Jan 3 at 5:54
$begingroup$
What is inf-norm?
$endgroup$
– Kavi Rama Murthy
Jan 3 at 5:54
$begingroup$
the inf norm is the max difference over the interval between the two functions. A.K.A. The infinity norm for functions.
$endgroup$
– FluidMan
Jan 3 at 17:27
$begingroup$
the inf norm is the max difference over the interval between the two functions. A.K.A. The infinity norm for functions.
$endgroup$
– FluidMan
Jan 3 at 17:27
add a comment |
0
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2
$begingroup$
Chebyshev approximation.
$endgroup$
– copper.hat
Jan 3 at 1:49
$begingroup$
What is inf-norm?
$endgroup$
– Kavi Rama Murthy
Jan 3 at 5:54
$begingroup$
the inf norm is the max difference over the interval between the two functions. A.K.A. The infinity norm for functions.
$endgroup$
– FluidMan
Jan 3 at 17:27