Browsing by Author "Babich, Yurii P."
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Item Sharp Estimates for the Best Approximations of Smooth Functions in C 2π in Terms of Linear Combinations of the Modules of Continuity of Their Derivatives(Ukrainian Mathematical Journal, Kyiv, 2022) Babich, Yurii P.; Mykhailova, Tetiana F.ENG: For the best approximations of en-1(ƒ) functions from C12π by trigonometric polynomials, Zhuk earlier proved the exact Jackson inequality en-1(ƒ),,π/4n*ɷ(ƒ',π/n). This paper proves the following version of Jackson's exact inequality: en-1(ƒ),,π/4n*﴾(1/2ɷ(ƒ',π/2n)+1/2ɷ(ƒ',π/n)﴿.