A Tangential Markov Inequality on Exponential Curves

Details A Tangential Markov Inequality on Exponential Curves A Tangential Markov Inequality on Exponential Curves

2001-04-25

arxiv.org/abs/math/0104238v1

Mathematics

Complex Variables

Scientific paper

We show that on the curves y=e^{t(x)} where t(x) is a fixed polynomial, there
holds a tangential Markov inequality of exponent four. Specifically, for the
real interval [a,b] there is a constant C such that max_{x\in
[a,b]}|\frac{d}{dx}P(x,e^{t(x)})|\leq C(deg(P))^{4} max_{x\in
[a,b]}|P(x,e^{t(x)})| for all bivariate polynomials P(x,y).

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