In this paper, we introduce the generalized exponential sampling series of bivariate functions and establish some pointwise and uniform convergence results, also in a quantitative form. Moreover, we study the pointwise asymptotic behaviour of the series. One of the basic tools is the Mellin–Taylor formula for bivariate functions, here introduced. A practical application to seismic waves is also outlined.
Bardaro C., Bevignani G., Mantellini I., Seracini M. (2019). Bivariate generalized exponential sampling series and applications to seismicwaves. CONSTRUCTIVE MATHEMATICAL ANALYSIS, 2(4), 153-167 [10.33205/cma.594066].
Bivariate generalized exponential sampling series and applications to seismicwaves
Seracini M.
2019
Abstract
In this paper, we introduce the generalized exponential sampling series of bivariate functions and establish some pointwise and uniform convergence results, also in a quantitative form. Moreover, we study the pointwise asymptotic behaviour of the series. One of the basic tools is the Mellin–Taylor formula for bivariate functions, here introduced. A practical application to seismic waves is also outlined.File in questo prodotto:
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