On the strong form of asymptotic formulas of the Voronovskaya-Bernstein type with a pointwise estimate of the remainder term

DOI10.1007/S10958-017-3502-5zbMath1377.41007OpenAlexW2743937754MaRDI QIDQ1683410

V. V. Zhuk, M. V. Babushkin

Publication date: 8 December 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3502-5

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (1)

On the constants in abstract inverse theorems of approximation theory

Cites Work

• Estimates for the moments of Bernstein polynomials
• On the rate of approximation of functions in Lipschitz norms
• Voronovskaya-Bernstein type asymptotic formulas in strong form
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