In this paper we introduce a generalization of Bernstein-Chlodovsky operators that preserves the exponential function $e^{2x}$ ($x geq 0$). We study its approximation properties in several function spaces, and we evaluate the rate of convergence by means of suitable moduli of con- tinuity. Throughout some estimates of the rate of convergence, we prove better error estimation than the original operators on certain intervals.
On Bernstein-Chlodovsky operators preserving $e^{2x}$
Vita Leonessa
2019-01-01
Abstract
In this paper we introduce a generalization of Bernstein-Chlodovsky operators that preserves the exponential function $e^{2x}$ ($x geq 0$). We study its approximation properties in several function spaces, and we evaluate the rate of convergence by means of suitable moduli of con- tinuity. Throughout some estimates of the rate of convergence, we prove better error estimation than the original operators on certain intervals.File in questo prodotto:
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