Статья
2019
Nikolskii Inequalities for Trigonometric Polynomials in Different Metrics
M. K. Potapov, B. V. Simonov
Русская математика
https://doi.org/10.3103/S1066369X19010055
Abstract / Full Text
S. M. Nikolsky’s inequalities for trigonometric polynomials in different metrics are well-known. We generalize the inequalities for the sums of trigonometric polynomials.
Author information
- Moscow State University, GSP-1, Leninskiye Gory, Moscow, 119991, RussiaM. K. Potapov
- Volgograd State Technical University, pr. Lenina 28, Volgograd, 400005, RussiaB. V. Simonov
References
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- Uninskii, A. P. “Inequalities in the Mixed Norm for Trigonometric Polynomials and Entire Functions of Finite Degree”, Proceedings of All-Union Symposium on Embedding Theorems (Baku, 1966), pp. 212–218 [in Russian].