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Refining Jensen’s Integral Inequality for Divisions of Measurable Space
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نویسنده
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dragomir silvestru sever
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منبع
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journal of mathematical extension - 2018 - دوره : 12 - شماره : 2 - صفحه:87 -106
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چکیده
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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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کلیدواژه
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Jensen’s inequality ,convex functions ,lebesgue integral ,weighted means
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آدرس
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victoria university, college of engineering and science, Australia. university of the witwatersrand, dst-nrf centre of excellence, school of computational and applied mathematics, South Africa
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پست الکترونیکی
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sever.dragomir@vu.edu.au
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Authors
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