\(L^p\) inequalities for polynomials
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In this paper we establish some \(L^p\) inequalities for polynomials having no zeros in \(|z|<1,\) where \(k\ge 1\) except for t-fold zeros at origin. Our results not only generalize some known polynomial inequalities, but also a variety of interesting results can be deduced from these by a fairly uniform procedure.
KeywordsPolynomials Zeros \(L^p\) inequalities Zygmund inequality
Mathematics Subject Classification30A10 30C15 26D05
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Conflicts of interest
The authors declare that they have no conflict of interest.