Abstract
We estimate pointwise convergence rates of approximation for functions with derivatives of bounded variation and for functions which are exponentially bounded and have derivatives locally of bounded variation. The approximation is made through the operation of a sequence of integral operators with not necessarily positive kernel functions. The general result is then applied to deduce estimates for Beta operators, Hermite-Fejer operators, Picard operators, Gauss-Weierstrass operators, Baskakov operators, Mirakjan-Szasz operators, Bleimann-Butzer-Hahn operators, Phillips operators, and Post-Widder operators.
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