The Function (b^x-a^x)/x: Logarithmic Convexity

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Qi, Feng and Guo, Bai-Ni (2008) The Function (b^x-a^x)/x: Logarithmic Convexity. Research report collection, 11 (1).


In the article, logarithmically convex properties of the function (b^x-a^x)/x for x not equal to 0 and positive numbers a and b are investigated, several equalities and inequalities of Bernoulli’s numbers and their generalizations are established, and some related problems and applications are introduced.

Item type Article
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords logarithmic convex, logarithmic concave, 3-log-convex, 3-log-concave, exponential function, inequality, equality, Bernoulli's numbers
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