Some inequalities based on a general quantum difference operator: Doc 566

(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) In this paper, some integral inequalities based on the general quantum difference operator ... are deduced. Here, ... is defined by ..., where [beta] is a strictly increasing continuous function, defined on an interval ...,...

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Bibliographic Details
Published in:Journal of inequalities and applications 2015-02, Vol.2015, p.1
Main Authors: Hamza, Alaa E, Shehata, Enas M
Format: Article
Language:English
Subjects:
Mathematics
Online Access:Get full text
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Summary:(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) In this paper, some integral inequalities based on the general quantum difference operator ... are deduced. Here, ... is defined by ..., where [beta] is a strictly increasing continuous function, defined on an interval ..., that has one fixed point ... The [beta]-Hölder and [beta]-Minkowski inequalities are proved. Also, the [beta]-Gronwall, [beta]-Bernoulli, and some related inequalities are shown. Finally, the [beta]-Lyapunov inequality is established.
ISSN:1025-5834
1029-242X
DOI:10.1186/s13660-015-0566-y