Bernstein and Kantorovich polynomials diminish the Λ-variation

2016/09/04 by Czudek, Klaudiusz
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1609.00973

Abstract

We prove the Λ-variation diminishing property of the Bernstein and Kantorovich polynomials. Next we apply this result to characterize the space CΛBV_c as the closure of the space of polynomials in the ΛBV norm. A new proof of the separability of CΛBV_c is given.

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