Left Baire-1 Compositors and Continuous Functions | Zendy

Jonald P. Fenecios | Zendy; Emmanuel A. Cabral | Zendy

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Left Baire-1 Compositors and Continuous Functions

Author(s) -

Jonald P. Fenecios,

Emmanuel A. Cabral

Publication year - 2013

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 - 10.1155/2013/878253

Subject(s) - algorithm , conjecture , mathematics , computer science , artificial intelligence , discrete mathematics

We showed that the class of left Baire-1 compositorsis precisely the class of continuous functions. This answers a characterization problem posed in the work by Zhao (2007, page 550) and settles in the affirmativethe conjecture in the work by Fenecios and Cabral (2012, page 43). Moreover, based on the above resultwe provide a new proof that the class of functions ℬ, where is the class of all positive continuous functions and is the class of all positive constants as defined in the work by Bakowska and Pawlak (2010) is exactly the class of all continuous functions

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