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.File in questo prodotto:
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