Tagged Questions

0
votes
0answers
133 views

Approximate a complicated mystery function

Let there exist a mystery function ƒ. ƒ accepts exactly 2 arguments, A & B. As B approaches A, ƒ approaches A, at a simple exponential growth rate E. As B approaches 0, ƒ approaches the mean ...
1
vote
1answer
99 views

approximating a discrete function with a continuous one

Let $f:[0,1]\rightarrow \mathbb{R}$ be a continuously differentiable function that reaches a global maximum at $x^*\in(0,1)$. Now, consider its 'discrete' counterpart. That is, consider the collection ...
-1
votes
2answers
39 views

Aprroximate graph to function

there is a set of points which set a graph that is not linear. Is there any method to approximate a function that is close enough to this graph? I've read some articles and got to know approximation ...
2
votes
3answers
268 views

Software to find a function for data approximation

I've got some y(x) 2D data set. I would like to find a function fitting this data: Is there any open source or free software to find a function to approximate a data sequence like the above? Here ...
2
votes
1answer
58 views

If f is in LipK[a, b], show that f can be uniformly approximated by polynomials in LipK[ a, b].

Question: If f $\in$ LipK[a, b], show that f can be uniformly approximated by polynomials in LipK[ a, b]. Context: f $\in$ LipK[a,b] then it is Lipschitz with constant K. The text I am currently ...
2
votes
1answer
94 views

Upper bound for $\Gamma(x+y)$

Let $x, y \geq 1$ be two real numbers. I am wondering if one can get an upper bound for $\Gamma(x+y)$ in terms of $\Gamma(x)\Gamma(y)$? Any references or ideas are very appreciated. Thank you.
0
votes
1answer
101 views

Approximation of function on interval

I'm looking for an accurate but as simple as possible approximation of $S(x,\lambda) = \frac{1}{(1-x) [x-(1-\lambda )]}\left((1+\lambda ) \left(\frac{x(1+\lambda)}{1-\lambda ...
1
vote
5answers
282 views

Find square root approximation function (tool)

first I have to apologize for any uncorrect naming or categorisation of my question, as I am an electrical engineer rather than a mathematican. I try to find a simple solution for my problem: I have ...
1
vote
0answers
96 views

Efficient way to recompute weights when shifting range of Legendre polynomial bases

I am storing a 2D (Cartesian) density function as a 2D patch with known X/Y limits and a set of 11 coefficients of the third order 2D Legendre polynomial basis functions over that patch. This works ...
3
votes
2answers
156 views

Multidimensional Interpolation within a polygon

Apologies in advance if I get terminologies wrong (not sure if "multidimensional interpolation" is the right term), I'm not really that great at maths, but here goes: Suppose we have two 2D points, ...
4
votes
3answers
409 views

How to find a Newton-like approximation for that function?

I want to find the complex fixpoint $t=b^t $ for real bases $b> \eta = \exp(\exp(-1))$. added remark: I'm aware that there is a solution using branches of the Lambert-W-function, but I've no ...
0
votes
1answer
141 views

Restoring the function by its graph

I need a function that will produce a graph similar to the one below. This function is odd, symmetrical relatively to origin in III quarter. A is an asymptote (the top part is similar to ...
0
votes
1answer
126 views

Taylor Series. Reusing an approximation of a function

I have this function, $e^{-x}$ bounded between 0 and 1500 and I have an approximation by Taylor Series of the same function bounded between 0 and 0.5. I would like to express my function $e^{-x}$ ...
0
votes
1answer
97 views

Development of a specific hardware architecture for a particular algorithm. Modelling fuctions by Taylor sSeries.

I'm trying to develop a architecture hardware to make a implementation of an algorithm that can be descompose in terms of sums, multiplications, subtractions and exponential functions. I'm trying to ...
4
votes
3answers
1k views

Find formula from values

Is there any "algorithm" or steps to follow to get a formula from a table of values. Example: Using this values: ...