Approximation of continuously Gâteaux derivable functionals by Markov operators

S. G. Gal

Authors

S. G. Gal Universtiy of Oradea, Romania

Keywords:

Markov operators, Gâteaux derivative, normed space, Bernstein-Lotosky-Schnabl operators

Abstract views: 176

Abstract

The main purpose of this paper is to extend a classical quantitative result in approximation of continuously derivable functions on [a, b] by positive and linear operators, to the approximation by Markov operators of the real-valued functions defined and having a continuous Gateaux derivative on a compact convex subset of a normed space.

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