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On some class of exponential type operators

Tyliba A., Machnicki E.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2005

Vol. 45, [Z] 1

59--73

Starting from a differential equation [formula] for the kernel of an operator [formula] with the normalization condition [formula] we provesome properties which are similar to properties proved by Ismailand May for the exponential operators. In particular, we show thatall these operators are approximation operators. Moreover, amethod of determining [formula] for a given function isintroduced.