In  we extended an interesting theorem of Medvedeva  pertaining to the embedding relation Hω ⊂ ΛBV, where ΛBV denotes the set of functions of Λ-bounded variation, which is encountered in the theory of Fourier trigonometric series. Now we give a further generalization of our result. Our new theorem tries to unify the notion of ψ-variation due to Young , and that of the generalized Wiener class BV (p(n) ↑) due to Kita and Yoneda . For further references we refer to the paper by Goginava .
|Number of pages||5|
|Journal||Journal of Inequalities in Pure and Applied Mathematics|
|Publication status||Published - Sep 29 2004|
- Bounded variation
- Embedding relation
ASJC Scopus subject areas
- Applied Mathematics