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  "body": "\n## Summary\n\nThe Baskakov operators are [[positive linear operators|AQDXWH4812]] that approximate functions on $[0, \\infty)$ by sampling them at the points $k/n$.\nTheir weights come from the negative binomial distribution.\nThey belong to a family that also contains the [[Bernstein polynomials|0JT92VK307]] and the [[Szász–Mirakyan operators|GRQJ49XQNR]].\n\n## Explanations\n\n### L1 human\n\nLike the Bernstein and Szász–Mirakyan operators, the Baskakov operator replaces $f(x)$ by a weighted average of the samples $f(k/n)$.\nThe weights are probabilities, they add up to $1$, and they concentrate near $k/n \\approx x$ for large $n$.\nHere they come from counting failures before the $n$-th success in repeated trials.\nBecause the weights have mean $x$, linear functions are reproduced exactly.\n",
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