Fractional Integrodifferentiation in Hölder Classes of Arbitrary Order

1995 ◽  
Vol 2 (2) ◽  
pp. 141-150
Author(s):  
N. K. Karapetyants ◽  
A. I. Ginzburg
Keyword(s):  
Fractional Integral ◽  
Arbitrary Order ◽  
Variable Order ◽  
Hölder Classes ◽  
Holder Classes ◽  
Fractional Integrodifferentiation

Abstract Hölder classes of variable order μ(x) are introduced and it is shown that the fractional integral has Hölder order μ(x) + α (0 < α, μ +, α + μ + < 1, μ + = sup μ(x)).

Hölder Classes in Lavrent'ev Domains

2004 ◽  
Vol 120 (5) ◽  
pp. 1791-1802
Author(s):  
N. A. Shirokov
Keyword(s):  
Hölder Classes ◽  
Holder Classes

The reserse Hölder classes in martingale setting

2004 ◽  
Vol 9 (3) ◽  
pp. 273-277
Author(s):  
Zuo Hong-liang ◽  
Liu Pei-de
Keyword(s):  
Hölder Classes ◽  
Holder Classes
Sign in / Sign up

Export Citation Format

Share Document