Curve fitting to connect certain points

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enter image description here

Well the image says everything, anyone has any idea how to, or where should i look to be able to draw the BLACK curve ?

in fact i need a function that would connect the summits of these red dotted triangles, and it should look like the black curve

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The images doesn't say much to me, let alone everything.

There are plenty of functions connecting the summits of the red dotted triangles. If you know their coordinates, perhaps you could use them for Lagrange interpolation. I don't know whether the result will look like the black curve, though I doubt it will. Where did you come across this image?