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Öğe On a hybrid family of summation integral type operators(2006) Gupta, Vijay; Erkuş, EsraThe present paper deals with the study of the mixed summation integral type operators having Szász and Baskakov basis functions in summation and integration respectively. Here we obtain the rate of point wise convergence, a Voronovskaja type asymptotic formula, an error estimate in simultaneous approximation. We also study some local direct results in terms of modulus of smoothness and modulus of continuity in ordinary and simultaneous approximation. © 2006 Victoria University. All rights reserved.Öğe Statistical rates on the multivariate approximation theory(Pergamon-Elsevier Science Ltd, 2006) Duman, Oktay; Erkus, Esra; Gupta, VijayStatistical rates of approximations by means of positive linear operators defined on the space of multivariate continuous functions are studied. Furthermore, displaying an example, it is shown that our statistical rates are more efficient than the classical aspects in the approximation theory. (c) 2006 Elsevier Ltd. All rights reserved.