Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves

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Constructive Mathematical Analysis
Volume:2 Issue:4
Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves

Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves

Authors : Carlo BARDARO, Giada BEVIGNANI, Ilaria MANTELLINI, Marco SERACINI

Pages : 153-167

Doi:10.33205/cma.594066

View : 44 | Download : 5

Publication Date : 2019-12-01

Article Type : Research Paper

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.
Keywords : Bivariate generalized exponential sampling series, Mellin Taylor formulae, moments, magnitude

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