Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A shape preserving quasi-interpolation operator based on a new
  transcendental RBF   It is well-known that the univariate Multiquadric quasi-interpolation
operator is constructed based on the piecewise linear interpolation by |x|. In
this paper, we first introduce a new transcendental RBF based on the hyperbolic
tangent function as a smooth approximant to f(r)=r with higher accuracy and
better convergence properties than the multiquadric. Then Wu-Schaback's
quasi-interpolation formula is rewritten using the proposed RBF. It preserves
convexity and monotonicity. We prove that the proposed scheme converges with a
rate of O(h^2). So it has a higher degree of smoothness. Some numerical
experiments are given in order to demonstrate the efficiency and accuracy of
the method.

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The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat