### Abstract

In [4] we extended an interesting theorem of Medvedeva [5] pertaining to the embedding relation H^{ω} ⊂ 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 [6], and that of the generalized Wiener class BV (p(n) ↑) due to Kita and Yoneda [3]. For further references we refer to the paper by Goginava [2].

Original language | English |
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Pages (from-to) | 1-5 |

Number of pages | 5 |

Journal | Journal of Inequalities in Pure and Applied Mathematics |

Volume | 5 |

Issue number | 4 |

Publication status | Published - Sep 29 2004 |

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### Keywords

- Bounded variation
- Continuity
- Embedding relation

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics