Some Inequalities Between the Best Polynomial Approximations and Averaged Finite-Difference Norms in Space L2.

Autor:	Shabozov, M. Sh., Abdulkhaminov, M. A.
Zdroj:	Russian Mathematics; Oct2021, Vol. 65 Issue 10, p69-81, 13p
Abstrakt:	Exact constants are found in inequalities of the Jackson–Stechkin type for smoothness characteristics determined by averaging the norm in of the mth order finite differences of the functions f. For classes of functions defined by the smoothness characteristic , and the majorants satisfying a certain condition, the exact values of different n-widths are calculated. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink