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1.
The connection between the functional inequalities
$f\left( {\frac{{x + y}}
{2}} \right) \leqslant \frac{{f\left( x \right) + f\left( y \right)}}
{2} + \alpha _J \left( {x - y} \right), x,y \in D,$f\left( {\frac{{x + y}}
{2}} \right) \leqslant \frac{{f\left( x \right) + f\left( y \right)}}
{2} + \alpha _J \left( {x - y} \right), x,y \in D, 相似文献
2.
H. Alzer 《Periodica Mathematica Hungarica》1994,28(3):229-233
We prove: IfG(n) denotes the geometric mean of the firstn positive integers, then $$1< 1 + \frac{{G(n)}}{{G(n - 1)}} - \frac{{G(n + 1)}}{{G(n)}}< 1 + \frac{1}{n} - \frac{1}{{n + 1}}< n\frac{{G(n + 1)}}{{G(n)}} - (n - 1)\frac{{G(n)}}{{G(n - 1)}}$$ holds for alln≥3. 相似文献
3.
Marek Kuczma 《Aequationes Mathematicae》1991,41(1):33-54
The functional equation
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