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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2006 Volume 80, Issue 3, Pages 421–428 (Mi mzm2828)
This article is cited in 2 papers

Nikol'skii-Stechkin inequality for trigonometric polynomials in $L_0$

È. A. Storozhenko

I. I. Mechnikov Odessa National University

Abstract: In this paper, the Nikol'skii–Stechkin inequality for the trigonometric polynomials is generalized to the space $L_0$. The resulting estimates are final.

Keywords: Nikol'skii–Stechkin inequality, trigonometric polynomial, algebraic polynomial, Euler's formula.

UDC: 517.5

Received: 23.08.2005

DOI: 10.4213/mzm2828


 English version: Mathematical Notes, 2006, 80:3, 403–409

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© Steklov Math. Inst. of RAS, 2025