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In mathematics, the Favard constant, also called the Akhiezer–Krein–Favard constant, of order r is defined as
This constant is used in solutions of several extremal problems, for example
- Favard's constant is the sharp constant in Jackson's inequality for trigonometric polynomials
- the sharp constants in the Landau–Kolmogorov inequality are expressed via Favard's constants
- Norms of periodic perfect splines.