Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalization of Kantorovich operators for convex compact subsets   In this paper we introduce and study a new sequence of positive linear
operators acting on function spaces defined on a convex compact subset. Their
construction depends on a given Markov operator, a positive real number and a
sequence of probability Borel measures. By considering special cases of these
parameters for particular convex compact subsets we obtain the classical
Kantorovich operators defined in the one-dimensional and multidimensional
setting together with several of their wide-ranging generalizations scattered
in the literature. We investigate the approximation properties of these
operators by also providing several estimates of the rate of convergence.
Finally, the preservation of Lipschitz-continuity as well as of convexity are
discussed

15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th