Approximation by Nonlinear Generalized Sampling Operators of Max-Product Kind

The analysis of the concept, properties and features of heterogeneous redundancy in modern complex ergatic systems, including those included in the situation centers (SC). On the basis of the qualimetric paradigm, the generalized analytical model of quality and optimization of quality by private, group, summary and aggregated quality indicators is justified. Practical ways of realization of the model and methods of optimization of the objects which are a part of SC and them as a whole at the expense of reduction of structural, functional and other types of redundancy under the obligatory condition of non-reduction of the required value of quality are given. On the example of the generalized sampling theorem when choosing the optimal value of the sampling frequency of the real bandpass signal, the criticality and significant influence on the redundancy of data in their further processing in the SC is shown.

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On Regular Generalized Sampling in T-Invariant Subspaces of a Hilbert Space: An Overview

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2019.1667827 ◽

2019 ◽

Vol 41 (6) ◽

pp. 685-709

Author(s):

Antonio G. García ◽

María J. Muñoz-Bouzo ◽

Gerardo Pérez-Villalón

Keyword(s):

Hilbert Space ◽

Invariant Subspaces ◽

Generalized Sampling

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Generalized Sampling Expansions in the Sense of Papoulis

SIAM Journal on Applied Mathematics ◽

10.1137/0144043 ◽

1984 ◽

Vol 44 (3) ◽

pp. 611-617 ◽

Cited By ~ 3

Author(s):

R. F. Hoskins ◽

J. de Sousa Pinto

Keyword(s):

Generalized Sampling ◽

Sampling Expansions

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On multidimensional Urysohn type generalized sampling operators

Mathematical Foundations of Computing ◽

10.3934/mfc.2021015 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Harun Karsli

Keyword(s):

Asymptotic Properties ◽

Dimensional Case ◽

One Dimensional ◽

Generalized Sampling

<p style='text-indent:20px;'>The concern of this study is to construction of a multidimensional version of Urysohn type generalized sampling operators, whose one dimensional case defined and investigated by the author in [<xref ref-type="bibr" rid="b28">28</xref>] and [<xref ref-type="bibr" rid="b27">27</xref>]. In details, as a continuation of the studies of the author, the paper centers around to investigation of some approximation and asymptotic properties of the aforementioned linear multidimensional Urysohn type generalized sampling operators.</p>

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