Geodesic
Comparison of discrete and uniform norms of polynomials on a~segment and a~circle arc
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 27, Tome 404 (2012), pp. 175-183

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In the paper inequalities containing discrete and uniform norms of polynomials on an interval and a circle arc are proved. The proofs are based on Bernstein-type inequalities. Obtained inequalities supplement some corresponding results of Rakhmanov, Shekhtman, Sheil-Small, Dubinin. 
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     author = {S. I. Kalmykov},
     title = {Comparison of discrete and uniform norms of polynomials on a~segment and a~circle arc},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {175--183},
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     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a9/}
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S. I. Kalmykov. Comparison of discrete and uniform norms of polynomials on a~segment and a~circle arc. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 27, Tome 404 (2012), pp. 175-183. http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a9/