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In this paper we consider a link between Baskakov-Durrmeyer type operatorsand corresponding Kantorovich type modifications of their classical variants.We prove a useful representation for Kantorovich variants of arbitrary orderwhich leads to a simple proof of convexity properties for the linkingoperators. This also solves an open problem. Another open problem is presentedat the end of the paper.

A Nice Representation for a Link between Baskakov- and Sz\'asz-Mirakjan-Durrmeyer Operators and their Kantorovich Variants