We introduce a Perron-type integral of order two for functions, taking values in Riesz spaces, by means and major and minor functions, and requiring only their uniform continuity. We investigate the main properties and the associated integral function of order two, and we give some applications to Fourier series and regular matrices.

A Perron-type integral of order 2 for Riesz spaces

BOCCUTO, Antonio
2001

Abstract

We introduce a Perron-type integral of order two for functions, taking values in Riesz spaces, by means and major and minor functions, and requiring only their uniform continuity. We investigate the main properties and the associated integral function of order two, and we give some applications to Fourier series and regular matrices.
2001
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/156809
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