Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Approximation of some classes of functions by Landau type operators - MaRDI portal

Approximation of some classes of functions by Landau type operators (Q2034855)

From MaRDI portal





scientific article; zbMATH DE number 7362278
Language Label Description Also known as
English
Approximation of some classes of functions by Landau type operators
scientific article; zbMATH DE number 7362278

    Statements

    Approximation of some classes of functions by Landau type operators (English)
    0 references
    0 references
    0 references
    23 June 2021
    0 references
    A strongly rooted part of approximation theory is the approximation of various signals by linear and positive operators. Over time, many mathematicians have begun to generalize and modify classical processes of this type, that provides a deeper study of them. This paper studies a class of integral linear and positive operators of Landau type which have affine functions as fixed points focusing to reveal approximation properties both in \(L_p\) spaces and in weighted \(L_p\) spaces \((1\le p<\infty)\). They also give an extension of the operators to approximate real-valued vector functions.
    0 references
    Landau operator
    0 references
    weighted space
    0 references
    Korovkin theorem
    0 references
    modulus of smoothness
    0 references

    Identifiers