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A double inequality for bounding Toader mean by the centroidal mean

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SPRINGER INDIA
DOI: 10.1007/s12044-014-0183-6

关键词

Toader mean; centroidal mean; complete elliptic integral; double inequality

资金

  1. Project of Shandong Province Higher Educational Science and Technology Program, China [J11LA57]

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In this paper, the authors find the best numbers alpha and beta such thatfor all a,b > 0 with a not equal b, where and denote respectively the centroidal mean and Toader mean of two positive numbers a and b.

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