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Uniformly continuous set-valued composition operators in the spaces of functions of bounded variation in the sense of Schramm

Ereú T., Sánchez J. L., Merentes N., Wróbel M.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2011

Vol. 16

23--32

We show that the one-sided regularizations of the generator of any uniformly continuous set-valued Nemytskij operator, acting between the spaces of functions of bounded variation in the sense of Schramm, is an affine function. Results along these lines extend the study [1].

An estimate of the rate of convergence of a Bézier variant of the Baskakov-Kantorovich operators for bounded variation functions

Abel U., Gupta V.

Demonstratio Mathematica

2003

Vol. 36, nr 1

123--136

In the present paper we introduce a Bézier variant of the Baskakov-Kantorovich operators and study the rate of convergence for functions of bounded variation. Furthermore, we present the complete asymptotic expansion for the Baskakov-Kantorovich operators.