I have
f(2, 3, 6) = 5/6;
f(4, 3, 12) = 17/6;
f(3, 3, 9) = 11/6;
f(2, 0, 2) = 2;
How can I find the relation f for the given values?
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$f(a, b, c)=a+2-\frac{1}{b!}-\frac{c}{a}$ seems to work, but so do some other things. Are there any other conditions on $f$? – Apple Mar 12 '15 at 20:42
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I just know that f:N->R+ and the given values. Thanks!! – Mirceac21 Mar 12 '15 at 20:44
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Unfortunately, with enough imagination there are infinite functions through these points. – jameselmore Mar 12 '15 at 20:58
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I know. All I have is some values, integer numbers, and the results that can be real positive numbers. The numbers can change position and the result will still be the same. I have to create a program that will magically give the right result for other values. I do not need a real function just a relation between numbers that i can then code. Thanks Apple For suggestion, the function works fine for non 0 b. – Mirceac21 Mar 12 '15 at 21:03
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@Mirceac21 can use multivariate Lagrange interpolation? https://www.siam.org/students/siuro/vol1issue1/S01002.pdf – Stefano Mar 12 '15 at 22:38