Refining Jensen’ s Integral Inequality for Divisions of Measurable Space

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Dragomir Silvestru Sever

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Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2018 | Volume:12 | Issue:2 Page(s): 87-106

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Title

Refining Jensen’ s Integral Inequality for Divisions of Measurable Space

Author(s)

Dragomir Silvestru Sever | Issue Writer Certificate

Keywords

Jensen’s inequality

convex functions

lebesgue integral

weighted means

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.

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APA: Copy

Dragomir, Silvestru Sever. (2018). Refining Jensen’ s Integral Inequality for Divisions of Measurable Space. JOURNAL OF MATHEMATICAL EXTENSION, 12(2), 87-106. SID. https://sid.ir/paper/721104/en

Vancouver: Copy

Dragomir Silvestru Sever. Refining Jensen’ s Integral Inequality for Divisions of Measurable Space. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2018;12(2):87-106. Available from: https://sid.ir/paper/721104/en

IEEE: Copy

Silvestru Sever Dragomir, “Refining Jensen’ s Integral Inequality for Divisions of Measurable Space,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 12, no. 2, pp. 87–106, 2018, [Online]. Available: https://sid.ir/paper/721104/en

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