Majorization for a subclass of β-spiral functions of order α involving a generalized linear operator

Afaf A Ali Abubaker, Maslina Darus, Daniel Breaz

Research output: Contribution to journalArticle

Abstract

Motivated by Carlson-Shaffer linear operator, we define here a new generalized linear operator. Using this operator, we define a class of analytic functions in the unit disk U. For this class, a majorization problem of analytic functions is discussed.

Original languageEnglish
Article number167672
JournalAdvances in Decision Sciences
Volume2011
DOIs
Publication statusPublished - 2011

Fingerprint

Majorization
Linear Operator
Mathematical operators
Analytic function
Unit Disk
Operator
Class

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Applied Mathematics
  • Computational Mathematics
  • Statistics and Probability

Cite this

Majorization for a subclass of β-spiral functions of order α involving a generalized linear operator. / Abubaker, Afaf A Ali; Darus, Maslina; Breaz, Daniel.

In: Advances in Decision Sciences, Vol. 2011, 167672, 2011.

Research output: Contribution to journalArticle

@article{eda3a73e004c4191b2e3c5a0a2eea339,
title = "Majorization for a subclass of β-spiral functions of order α involving a generalized linear operator",
abstract = "Motivated by Carlson-Shaffer linear operator, we define here a new generalized linear operator. Using this operator, we define a class of analytic functions in the unit disk U. For this class, a majorization problem of analytic functions is discussed.",
author = "Abubaker, {Afaf A Ali} and Maslina Darus and Daniel Breaz",
year = "2011",
doi = "10.1155/2011/167672",
language = "English",
volume = "2011",
journal = "Advances in Decision Sciences",
issn = "2090-3359",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Majorization for a subclass of β-spiral functions of order α involving a generalized linear operator

AU - Abubaker, Afaf A Ali

AU - Darus, Maslina

AU - Breaz, Daniel

PY - 2011

Y1 - 2011

N2 - Motivated by Carlson-Shaffer linear operator, we define here a new generalized linear operator. Using this operator, we define a class of analytic functions in the unit disk U. For this class, a majorization problem of analytic functions is discussed.

AB - Motivated by Carlson-Shaffer linear operator, we define here a new generalized linear operator. Using this operator, we define a class of analytic functions in the unit disk U. For this class, a majorization problem of analytic functions is discussed.

UR - http://www.scopus.com/inward/record.url?scp=84855383652&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855383652&partnerID=8YFLogxK

U2 - 10.1155/2011/167672

DO - 10.1155/2011/167672

M3 - Article

VL - 2011

JO - Advances in Decision Sciences

JF - Advances in Decision Sciences

SN - 2090-3359

M1 - 167672

ER -