Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On bivariate fractal approximation   In this paper, the notion of dimension preserving approximation for
real-valued bivariate continuous functions, defined on a rectangular domain
$\rectangle$, has been introduced and several results, similar to well-known
results of bivariate constrained approximation in terms of dimension preserving
approximants, have been established. Further, some clue for the construction of
bivariate dimension preserving approximants, using the concept of fractal
interpolation functions, has been added. In the last part, some multi-valued
fractal operators associated with bivariate $\alpha$-fractal functions are
defined and studied.

0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs