Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On an extension of Lesche stability   In this paper, we give a new method for proving the Lesche stability of
several functionals(Incomplete entropy, Tsallis entropy, \kappa - entropy,
Quantum-Group entropy). We prove also that the Incomplete q - expectation value
and Renyi entropy for (0 < q < 1) are \alpha - stable for all (0 <\alpha <= q).
Finally, we prove that the Incomplete q - expectation value is \alpha - stable
for all 0 <\alpha <=1.

8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin