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Some inequalities for integral functions of finite degree with given zeros

✍ Scribed by I. I. Ibragimov; F. G. Nasibov


Publisher
SP MAIK Nauka/Interperiodica
Year
1969
Tongue
English
Weight
315 KB
Volume
5
Category
Article
ISSN
0001-4346

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Markov inequality for polynomials of deg
✍ David Benko; TamΓ‘s ErdΓ©lyi πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 128 KB

Let P m n be the collection of all polynomials of degree at most n with real coefficients that have at most m distinct complex zeros. We prove that max xA½0;1 jP 0 ðxÞjp32 Á 8 m n max xA½0;1 jPðxÞj for every PAP m n : This is far away from what we expect. We conjecture that the Markov factor 32 Á 8