On linear combinations of multivariate generalized sampling type series. (English) Zbl 1279.41022
Suitable linear combinations for a multivariate extension of the generalized sampling series are considered, also in the Kantorovich version. These combinations provide a better order of approximation. Finally, the example of the Bochner-Riesz kernel is discussed.
Reviewer: Vijay Gupta (New Delhi)
MSC:
| 41A25 | Rate of convergence, degree of approximation |
| 41A60 | Asymptotic approximations, asymptotic expansions (steepest descent, etc.) |
| 94A20 | Sampling theory in information and communication theory |
Keywords:
Voronovskaja-type formula; moments; multivariate generalized sampling type series; linear combinationsReferences:
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