5 papers
Metrically differentiable set-valued functions and their local linear approximants
Alona Mokhov, Nira Dyn, Elza Farkhi
A new notion of metric differentiability of set-valued functions at a point is introduced in terms of right and left limits of special set-valued metric divided differences of firs…
The pointwise limit of metric integral operators approximating set-valued functions
Elena E. Berdysheva, Nira Dyn, Elza Farkhi +1
For set-valued functions (SVFs, multifunctions), mapping a compact interval into the space of compact non-empty subsets of , we study approximation based on…
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…
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…
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…