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Authors: T.A.K. SINHA, VIJAY GUPTA, P.N. AGRAWAL, ASHA RAM GAIROLA.
where 
defined on LB[0, 1], the space of bounded and integrable functions on [0, 1] were introduced by Durrmeyer [5] and extensively studied by Derriennic [3] and other researchers (see [1]-[3], [5], [6], [8]). It turns out that the order of approximation by theseoperators is, at best, O(n−1) however smooth the function may be. In order to improve the rate of approximation we consider an iterative combination Tn,k(f; t) of the operators Mn(f; t). This technique was given by Micchelli [9] who first used it to improve the order of approximation by Bernstein polynomials Bn(f; t). In the paper [1] some direct theorems in ordinary and simultaneous approximation for the operators Tn,k(f; t) in the uniform norm, have been established. The paper [10] is a study of some direct results in the Lp− approximation by the operators Tn,k(f; t). The object of the present paper is to study the corresponding inverse theorem in Lp− approximation by the operators Tn,k(f; t).
Key words and phrases. Inverse theorem, Lp− approximation, Steklov means.
