On a Sequence of Linear and Positive Operators

Abstract

We discuss some results for q-analogues of Bernstein and Stancu operators. Moreover, a q-analogue of an operator of A. Lupaş is introduced and investigated.

Eigenstructure and Voronovskaja type formula for a sequence of integral operators

“…Integral operators acting on some subspaces of C[0, ∞) as well as compositions of such operators were considered in several papers and investigated from various points of view. The composition F n of Rathore and Gamma operators was introduced and studied in [5]. Some properties of it can be found in [2].…”

On Rathore type operators

“…The Rathore operators were introduced in [8] and studied in several papers (see, e.g., [1], [2], [4], [5], [6], [10] and the references therein ). They are defined as…”