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October 2020 Characterization of the $\mathrm{RV}_{\phi, 2, \alpha}([a, b])$ space
René E. Castillo, Héctor C. Chaparro, Eduard Trousselot
Rocky Mountain J. Math. 50(5): 1617-1625 (October 2020). DOI: 10.1216/rmj.2020.50.1617

Abstract

We introduce the (ϕ,2,α)-bounded variation of a function, a concept that generalizes the ϕ-bounded variation introduced by Medvedev. We also provide a characterization to find out the (ϕ,2,α)-variation of a function f in the sense of Riesz.

Citation

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René E. Castillo. Héctor C. Chaparro. Eduard Trousselot. "Characterization of the $\mathrm{RV}_{\phi, 2, \alpha}([a, b])$ space." Rocky Mountain J. Math. 50 (5) 1617 - 1625, October 2020. https://doi.org/10.1216/rmj.2020.50.1617

Information

Received: 21 May 2019; Revised: 28 February 2020; Accepted: 28 February 2020; Published: October 2020
First available in Project Euclid: 5 November 2020

zbMATH: 07274823
MathSciNet: MR4170675
Digital Object Identifier: 10.1216/rmj.2020.50.1617

Subjects:
Primary: 26A45
Secondary: 46E30

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 5 • October 2020
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