Articles with "integral mean" as a keyword



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A double inequality for an integral mean in terms of the exponential and logarithmic means

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Published in 2017 at "Periodica Mathematica Hungarica"

DOI: 10.1007/s10998-016-0181-9

Abstract: In the paper, the authors aim to present a double inequality for the integral mean $$\begin{aligned} \frac{1}{2\pi }\int _0^{2\pi }a^{\cos ^2\theta }b^{\sin ^2\theta }{{\mathrm{d}}}\theta \end{aligned}$$12π∫02πacos2θbsin2θdθin terms of the exponential and logarithmic means. For attaining the… read more here.

Keywords: integral mean; double inequality; terms exponential; exponential logarithmic ... See more keywords