Geodesic
Inequalities for trigonometric polynomials in periodic Morrey spaces
Eurasian mathematical journal, Tome 15 (2024) no. 2, pp. 92-100

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A detailed exposition of Bernstein’s inequality, inequalities of different metrics and of different dimensions for trigonometic polynomials in Lebesgue spaces is given in the book of S.M. Nikol'skii [4]. In this paper, we state analogues of these inequalities in peridoic Morrey spaces. 
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V. I. Burenkov; D. J. Joseph. Inequalities for trigonometric polynomials in periodic Morrey spaces. Eurasian mathematical journal, Tome 15 (2024) no. 2, pp. 92-100. http://geodesic.mathdoc.fr/item/EMJ_2024_15_2_a6/