In functional analysis, a branch of mathematics, the Baskakov operators are generalizations of Bernstein polynomials, Szász–Mirakyan operators, and . They are defined by where ( can be ), , and is a sequence of functions defined on that have the following properties for all : 1. * . Alternatively, has a Taylor series on . 2. * 3. * is completely monotone, i.e. . 4. * There is an integer such that whenever They are named after V. A. Baskakov, who studied their convergence to bounded, continuous functions.