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Some inequalities constructed by Tchebysheff’s integral inequality. (English) Zbl 0943.26030

The authors use Tchebycheff’s integral inequality in order to refine Conte’s inequality and some estimates concerning the error function and Mill’s ratio. Several inequalities (involving the function \((\sin x)/x\) and other functions) are also derived.

MSC:

26D15 Inequalities for sums, series and integrals
33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)
60E15 Inequalities; stochastic orderings
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