ZYGMUND-TYPE INEQUALITIES FOR POLYNOMIALS

N. A. Rather

Abstract


In this paper we consider a problem of investigating the dependence of ||P(Rz)-\beta P(rz)||_p on ||P(z)||_p for every real or complex number \beta with |\beta|<=1, R > r >= 1, p > 0 and present compact generalizations of certain well-known polynomial inequalities.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea