Korovkin-type approximation of set-valued and vector-valued functions

Michele Campiti

doi:10.3934/mfc.2021032

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2022, Volume 5, Issue 3: 231-239. Doi: 10.3934/mfc.2021032

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Korovkin-type approximation of set-valued and vector-valued functions

Michele Campiti

Department of Mathematics and Physics "E. De Giorgi", University of Salento, Campus Ecotekne, 73100 Lecce, Italy

Received: August 2021

Revised: October 2021

Early access: November 2021

Published: August 2022

Work performed under the auspices of G.N.A.M.P.A. (I.N.d.A.M.) and the UMI Group TAA "Approximation Theory and Applications"

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Abstract

We establish some general Korovkin-type results in cones of set-valued functions and in spaces of vector-valued functions. These results constitute a meaningful extension of the preceding ones.

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Mathematics Subject Classification: Primary: 41A65, 41A36; Secondary: 41A25, 41A63.

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References

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