### Abstract

Two classes of univalent functions with respect to k-symmetric points define on the unit disk satisfying the conditions: are given. The two inequalities of the functions belonging to these two classes are the starlike and convex functions with respect to k-symmetric points, respectively. Some interesting properties of generalisations of Hadamard product in these classes are given.

Original language | English |
---|---|

Pages (from-to) | 1787-1797 |

Number of pages | 11 |

Journal | Applied Mathematical Sciences |

Volume | 3 |

Issue number | 33-36 |

Publication status | Published - 2009 |

### Fingerprint

### Keywords

- Analytic functions
- Hadamard product
- K-symmetric points

### ASJC Scopus subject areas

- Applied Mathematics

### Cite this

*Applied Mathematical Sciences*,

*3*(33-36), 1787-1797.

**Application of Hölder inequality in generalised convolutions for functions with respect to k-symmetric points.** / Al-Shaqsi, K.; Darus, Maslina.

Research output: Contribution to journal › Article

*Applied Mathematical Sciences*, vol. 3, no. 33-36, pp. 1787-1797.

}

TY - JOUR

T1 - Application of Hölder inequality in generalised convolutions for functions with respect to k-symmetric points

AU - Al-Shaqsi, K.

AU - Darus, Maslina

PY - 2009

Y1 - 2009

N2 - Two classes of univalent functions with respect to k-symmetric points define on the unit disk satisfying the conditions: are given. The two inequalities of the functions belonging to these two classes are the starlike and convex functions with respect to k-symmetric points, respectively. Some interesting properties of generalisations of Hadamard product in these classes are given.

AB - Two classes of univalent functions with respect to k-symmetric points define on the unit disk satisfying the conditions: are given. The two inequalities of the functions belonging to these two classes are the starlike and convex functions with respect to k-symmetric points, respectively. Some interesting properties of generalisations of Hadamard product in these classes are given.

KW - Analytic functions

KW - Hadamard product

KW - K-symmetric points

UR - http://www.scopus.com/inward/record.url?scp=77950932066&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950932066&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77950932066

VL - 3

SP - 1787

EP - 1797

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 33-36

ER -