Best constants for tensor products of Bernstein, Szász and Baskakov operators

DOI10.1017/S0004972700018682zbMath0964.41014OpenAlexW2145479412MaRDI QIDQ4522514

Ana M. Valle, Jesús De La Cal

Publication date: 20 December 2000

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700018682

zbMATH Keywords

Szász operatorsBernstein operatorsbest constantsBaskakov operatorspreservation inequalities

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by positive operators (41A36) Distribution theory (60E99) Best constants in approximation theory (41A44)

Related Items (6)

Simultaneous Weighted Approximation with Multivariate Baskakov–Schurer Operators ⋮ A best constant for bivariate Bernstein and Szász-Mirakyan operators ⋮ Monotonicity properties of certain expected extreme order statistics ⋮ Best constants for tensor products of Bernstein type operators ⋮ Global smoothness preservation with second order modulus of smoothness ⋮ On certain best constants for Bernstein-type operators

Cites Work

• On the uniform modulus of continuity of certain discrete approximation operators
• Best constants in preservation inequalities concerning the first modulus and Lipschitz classes for Bernstein-type operators
• Best constants in global smoothness preservation inequalities for some multivariate operators
• GLOBAL SMOOTHNESS OF APPROXIMATING FUNCTIONS

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