A Note on the Sharpness of the Remez-type Inequality for Homogeneous Polynomials on the Sphere
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A NOTE ON THE SHARPNESS OF THE REMEZ-TYPE INEQUALITY FOR HOMOGENEOUS POLYNOMIALS ON THE SPHERE M. YATTSELEV Dedicated to Ed Saff on the occasion of his 60th birthday Abstract. Remez-type inequalities provide upper bounds for the uniform norms of polynomials on given compact sets provided that for every where is a subset of of small measure. In this note we obtain an asymptotically sharp Remez-type inequality for homogeneous polynomials on the unit sphere in
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تاریخ انتشار 2010