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math.CA2022
Metric approximation of set-valued functions of bounded variation by integral operators
Elena E. Berdysheva, Nira Dyn, Elza Farkhi +1
We introduce an adaptation of integral approximation operators to set-valued functions (SVFs, multifunctions), mapping a compact interval into the space of compact non-empt…
math.CA2020
Metric Fourier approximation of set-valued functions of bounded variation
Elena E. Berdysheva, Nira Dyn, Elza Farkhi +1
We introduce and investigate an adaptation of Fourier series to set-valued functions (multifunctions, SVFs) of bounded variation. In our approach we define an analogue of the parti…
math.CA2005
Approximations of Set-Valued Functions by Metric Linear Operators
Nira Dyn, Elza Farkhi, Alona Mokhov
In this work, we introduce new approximation operators for univariate set-valued functions with general compact images. We adapt linear approximation methods for real-valued functi…