In this paper, we present a new class of operators, which are refinable, quasi-interpolatory and satisfy some interpolation conditions. The refinability is achieved by using as functional bases the B-bases corresponding to totally positive refinable functions. We analyze the main properties of the c
Bounded Quasi-Interpolatory Polynomial Operators
β Scribed by H.N. Mhaskar; J. Prestin
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 157 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0021-9045
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β¦ Synopsis
We construct bounded polynomial operators, similar to the classical de la Valle e Poussin operators in the theory of Fourier series, which preserve polynomials of a certain degree, but are defined in terms of the values of the function rather than its Fourier coefficients.
π SIMILAR VOLUMES
In this paper, we construct a univariate quasi-interpolation operator to non-uniformly distributed data by cubic multiquadric functions. This operator is practical, as it does not require derivatives of the being approximated function at endpoints. Furthermore, it possesses univariate quadratic poly