WEIGHTED A-STATISTICAL CONVERGENCE AND BOGEL APPROXIMATION BY OPERATORS OF EXPONENTIAL TYPE

We give a proper definition of an exponential type operator proposed by Ismail and May [21] so that it acts from C(S) into C(S) and explore its non-multiplicativity, rth order generalization and weighted A-statistical convergence in the univariate case. Next, we define properly the associated tensor product of the operators and investigate its approximation proper-ties. Lastly, we introduce the associated Generalized Boolean Sum (GBS) operators and present error estimates using mixed modulus of smoothness for Bo center dot gel continuous functions.