Nikolskii Inequalities for Trigonometric Polynomials in Different Metrics

S. M. Nikolsky’s inequalities for trigonometric polynomials in different metrics are well-known. We generalize the inequalities for the sums of trigonometric polynomials.

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Bibliographic Details
Published in:Russian mathematics 2019, Vol.63 (1), p.42-54
Main Authors: Potapov, M. K., Simonov, B. V.
Format: Article
Language:English
Subjects:
Inequalities
Mathematics
Mathematics and Statistics
Polynomials
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Description
Summary:S. M. Nikolsky’s inequalities for trigonometric polynomials in different metrics are well-known. We generalize the inequalities for the sums of trigonometric polynomials.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X19010055