Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A de Casteljau Algorithm for Bernstein type Polynomials based on
  (p,q)-integers   In this paper, a de Casteljau algorithm to compute (p,q)-Bernstein Bezier
curves based on (p,q)-integers is introduced. We study the nature of degree
elevation and degree reduction for (p,q)-Bezier Bernstein functions. The new
curves have some properties similar to q-Bezier curves. Moreover, we construct
the corresponding tensor product surfaces over the rectangular domain (u, v)
\in [0, 1] \times [0, 1] depending on four parameters. We also study the de
Casteljau algorithm and degree evaluation properties of the surfaces for these
generalization over the rectangular domain. Furthermore, some fundamental
properties for (p,q)-Bernstein Bezier curves are discussed. We get q-Bezier
curves and surfaces for (u, v) \in [0, 1] \times [0, 1] when we set the
parameter p1 = p2 = 1.

2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat