A note on a multiplier of the Norlund means and convex maps of the unit disc | Zendy

Ziad S. Ali | Zendy

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A note on a multiplier of the Norlund means and convex maps of the unit disc

Author(s) -

Ziad S. Ali

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.3351

Subject(s) - mathematics , multiplier (economics) , regular polygon , unit (ring theory) , product (mathematics) , combinatorics , geometry , mathematics education , economics , macroeconomics

Important and interesting results which are already known such as those by Pólya and Schoenberg in (1958), Başgöze et al. in (1970), and Ali in (1973), and which are related to convex maps of the unit disc are presented in this note by a more general, unified, and different method. The method considers the product of a nontrivial multiplier with the Norlund means, and shows how the known results indicated above are reproduced again as special cases

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