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Mat. Zametki, 2025 Volume 118, Issue 2, Pages 325–329 (Mi mzm14574)

Brief Communications

The Jackson–Stechkin Inequality in the Space $C$ with Nonclassic Modulus of Continuity

S. E. Nohrin, V. T. Shevaldin

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Keywords: trigonometric polynomial, best approximation, modulus of continuity, Jackson–Stechkin inequality, Jackson type kernel.

Received: 24.11.2024
Revised: 11.03.2025

DOI: 10.4213/mzm14574


 English version:
Mathematical Notes, 2025, 118:2, 409–414

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© Steklov Math. Inst. of RAS, 2026