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- W3124660960 abstract "Markov-type inequalities are often used in numerical solutions of differential equations, and their constants improve error bounds. In this paper, the upper approximation of the constant in a Markov-type inequality on a simplex is considered. To determine the constant, the minimal polynomial and pluripotential theories were employed. They include a complex equilibrium measure that solves the extreme problem by minimizing the energy integral. Consequently, examples of polynomials of the second degree are introduced. Then, a challenging bilevel optimization problem that uses the polynomials for the approximation was formulated. Finally, three popular meta-heuristics were applied to the problem, and their results were investigated." @default.
- W3124660960 created "2021-02-01" @default.
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- W3124660960 date "2021-01-29" @default.
- W3124660960 modified "2023-09-26" @default.
- W3124660960 title "Approximation of the Constant in a Markov-Type Inequality on a Simplex Using Meta-Heuristics" @default.
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- W3124660960 doi "https://doi.org/10.3390/math9030264" @default.
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