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2012•Journal of Science of Teachers' College and UniversityRequires access

A new inequality and its application

YU Bao-min

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Abstract

Gave and proved a new inequality ln(1+x~α)≤ax,where x 0,α1 and is a constant.Based on this result,a limit of Lebesgue integral of a sequence measurable functions was given.

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What this paper is about

Gave and proved a new inequality ln(1+x~α)≤ax,where x 0,α1 and is a constant.Based on this result,a limit of Lebesgue integral of a sequence measurable functions was given.

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Available abstract

Gave and proved a new inequality ln(1+x~α)≤ax,where x 0,α1 and is a constant.Based on this result,a limit of Lebesgue integral of a sequence measurable functions was given.

Key concepts: Inequality, Mathematics, Computer science, Mathematical analysis

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