A generalization of Jensen’s inequality for polynomials having concentration at low degrees

Abstract

AbstractIn this paper we give some asymptotic estimates for the best lower bound C(d,k,p) of the Jensen’s functional J(f)=∫02πlog|f(eiθ)|dθ2π for when the polynomial f has a concentration d at low degrees k measured by the lp-norm under the Lp-norm, p>2

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This paper was published in Elsevier - Publisher Connector .

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