If only the upper inequality holds, then we call μ a Bessel measure.
Substituting this into (4.6) and making use of the upper inequality, we derive that (4.12).
However, it is proved in [12, 13] that the least λ for which the upper inequality holds in any non-obtuse triangle is ((2-sqrt{3})(3+2sqrt{2})approx1.5617).
Actually, for a weight function σ not satisfying (9), it has been constructed in Section 4 of [14] a sequence ((L_{n}, n=1,2,ldots)) of positive linear operators not satisfying the upper inequality in (1).
Without loss of generality, we only verify the upper limit inequalities.
Minimizing a posynomial subject to posynomial upper bound inequality constraints and monomial equality constraints is called GP.
Note that P out MRC in (23) is a nonlinear function of the powers, which yields a posynomial upper bound inequality constraint for the optimization problem in (23).
With the exception of our continuing discussion about whether the rising costs of higher education are pricing the middle class out of college, we don't have much practice talking about what economists call "upper-tail inequality" in education, much less success at reducing it.
The lower-level decision variable z is embedded into upper-level inequality.
To reduce the burden of upper gastrointestinal haemorrhage, inequalities from deprivation need to be understood and modified prior to hospital admission.
