Abstract
Many well-known approximating operators L n , preserve the constant as well as the linear functions, that is, L n (e 0, x) = e 0(x) and L n (e 1, x) = e 1(x) for e i (x) = x i (i = 0, 1). These conditions hold specifically for the Bernstein polynomials, Szász–Mirakjan operators, Baskakov operators, Phillips operators, genuine Durrmeyer-type operators, and so on.
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Gupta, V., Agarwal, R.P. (2014). Better Approximation. In: Convergence Estimates in Approximation Theory. Springer, Cham. https://doi.org/10.1007/978-3-319-02765-4_5
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DOI: https://doi.org/10.1007/978-3-319-02765-4_5
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