Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615376 | Journal of Mathematical Analysis and Applications | 2015 | 14 Pages |
Abstract
In this study, we give the necessary and sufficient conditions for a function f(x,y)=∑j,k∈Zcjkexp(ijx+iky)f(x,y)=∑j,k∈Zcjkexp(ijx+iky) to belong to the generalized Lipschitz classes Hω,m,nHω,m,n and hω,m,nhω,m,n in the uniform metric defined by the mixed difference of orders m,n∈Nm,n∈N in terms of {cjk}j,k∈Z{cjk}j,k∈Z.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
S.S. Volosivets,