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DOI: 10.23952/cot.2023.1
Received February 17, 2022; Accepted October 6, 2022; Published January 17, 2023
Abstract. The theory of abstract convexity, also known as convexity without linearity, is an extension of classical convex analysis. There are a number of remarkable results, mostly concerning duality, and some numerical methods, however, this area has not found many practical applications yet. In this paper, we study the application of abstract convexity to function approximation. Another important research direction addressed in this paper is the connection with the so-called axiomatic convexity.
How to Cite this Article:
R. Díaz Millán, N. Sukhorukova, J. Ugon, Applications and issues in abstract convexity, Commun. Optim. Theory 2023 (2023) 1.