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Wilker's Inequalities

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WilkersInequalities

Wilker's inequalities state that

2+(16)/(pi^4)x^3tanx<(sin^2x)/(x^2)+(tanx)/x<2+2/(45)x^3tanx

for 0<x<pi/2, where the constants 2/45 and 16/pi^4 are the best possible (Borwein et al. 2004, p. 60).

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References

Borwein, J.; Bailey, D.; and Girgensohn, R. Experimentation in Mathematics: Computational Paths to Discovery. Wellesley, MA: A K Peters, 2004.

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Wilker's Inequalities

Cite this as:

Weisstein, Eric W. "Wilker's Inequalities." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WilkersInequalities.html

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