### 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 |
---|---|

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 |

### Fingerprint

### Keywords

- Bounded variation
- Continuity
- Embedding relation

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**On embedding of the class H ^{ω}.** / Leindler, L.

Research output: Contribution to journal › Article

^{ω}',

*Journal of Inequalities in Pure and Applied Mathematics*, vol. 5, no. 4, pp. 1-5.

^{ω}. Journal of Inequalities in Pure and Applied Mathematics. 2004 Sep 29;5(4):1-5.

}

TY - JOUR

T1 - On embedding of the class Hω

AU - Leindler, L.

PY - 2004/9/29

Y1 - 2004/9/29

N2 - In [4] we extended an interesting theorem of Medvedeva [5] 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 [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].

AB - In [4] we extended an interesting theorem of Medvedeva [5] 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 [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].

KW - Bounded variation

KW - Continuity

KW - Embedding relation

UR - http://www.scopus.com/inward/record.url?scp=10344249911&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10344249911&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:10344249911

VL - 5

SP - 1

EP - 5

JO - Journal of Inequalities in Pure and Applied Mathematics

JF - Journal of Inequalities in Pure and Applied Mathematics

SN - 1443-5756

IS - 4

ER -