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math.CA2005
Generalizations of Goncalves' inequality
Peter Borwein, Michael J. Mossinghoff, Jeffrey D. Vaaler
If is a polynomial with complex coefficients, leading term , and roots , ..., , then Gonçalves' inequality states that is bounded below by $\abs{a_N}…
math.CA1995
Müntz spaces and Remez inequalities
Peter Borwein, Tamás Erdélyi
Two relatively long-standing conjectures concerning Müntz polynomials are resolved. The central tool is a bounded Remez type inequality for non-dense Müntz spaces.