AR Alimov, KS Ryutin, IG Tsar'kov, “Existence, uniqueness, and stability of best and near-best
approximations”, Uspekhi Mat. Nauk, 78:3(471) (2023), 3–52; Russian Math. Surveys, 78:3 (2023) …

In this paper, we develop an optimization-based approach to multivariate Chebyshev
approximation on a finite grid. We consider two models: multivariate polynomial …

The theory of abstract convexity, also known as convexity without linearity, is an extension of
the classical convex analysis. There are a number of remarkable results, mostly concerning …

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В геометрической теории приближения наиболее важными вопросами исследования
приближающих множеств являются вопросы существования и единственности …

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 …

The report will reflect the work on alternative projection method for rational approximation.
The method was investigated for further development to be integrated with more …