Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves

Carlo Bardaro; Giada Bevıgnanı; Ilaria Mantellını; Marco Seracını

doi:10.33205/cma.594066

Research Article

Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves

Year 2019, Volume: 2 Issue: 4, 153 - 167, 01.12.2019

Carlo Bardaro Giada Bevıgnanı Ilaria Mantellını Marco Seracını

https://doi.org/10.33205/cma.594066

Cited By: 6

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

Supporting Institution

Università di Perugia, Fondazione Cassa di Risparmio di Perugia (CRP)

Project Number

Università di Perugia Project "Ricerca di Base 2017"; Project Fondazione Cassa di Risparmio di Perugia, cod. nr. 2018.0419.021

Thanks

Gruppo Nazionale per l'Analisi Matematica e Applicazioni (GNAMPA) INDAM

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