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Journal:   JOURNAL OF MATHEMATICAL EXTENSION   2018 , Volume 12 , Number 2; Page(s) 87 To 106.
 
Paper: 

Refining Jensen’ S Integral Inequality For Divisions Of Measurable Space

 
 
Author(s):  Dragomir Silvestru Sever*
 
* Mathematics, College of Engineering and Science Professor of Mathematics Victoria University, Melbourne City, MC 8001, Australia
 
Abstract: 
In this paper we establish a refinement and some reverses for Jensen’ s inequality for the general Lebesgue integral on divisions of measurable space. Applications for discrete inequalities and weighted means of positive numbers are also given. Some examples related to Hermite-Hadamard inequality for convex functions are provided as well.
 
Keyword(s): Jensen’s inequality,convex functions,lebesgue integral,weighted means
 
 
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APA: Copy

Dragomir, S. (2018). Refining Jensen’ s Integral Inequality for Divisions of Measurable Space. JOURNAL OF MATHEMATICAL EXTENSION, 12(2), 87-106. https://www.sid.ir/en/journal/ViewPaper.aspx?id=668580



Vancouver: Copy

Dragomir Silvestru Sever. Refining Jensen’ s Integral Inequality for Divisions of Measurable Space. JOURNAL OF MATHEMATICAL EXTENSION. 2018 [cited 2022May21];12(2):87-106. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668580



IEEE: Copy

Dragomir, S., 2018. Refining Jensen’ s Integral Inequality for Divisions of Measurable Space. JOURNAL OF MATHEMATICAL EXTENSION, [online] 12(2), pp.87-106. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668580.



 
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