Accentuate the negative

A survey of mean inequalities with real weights is given.Comment: 16 pages 3 figure

Power matrix means and related inequalities

This survey paper contains recent results for power matrix means and related inequalities for convex functions, Hadamard product of matrices as well as some inequalities involving exponential function of matrices

On an inequality of Grüss type

We prove an inequality of Grüss type for p-norm, which for $p=infty$ gives an estimate similar to a result of Pachpatte [2]

Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials

We obtain generalizations of Steffensen’s inequality by using Lidstone’s polynomials. Furthermore, the functionals associated with the obtained generalizations are used to generate n-exponentially and exponentially convex functions, as well as the new Stolarsky-type means.Отримано узагальнення нєрівності Стеффенсена за допомогою потенцiалiв Лідстоуна. Kpiм того, функціонали, що відповідають отриманим узагальненням, також застосовуються для одержання як n-експоненціально та експоненціально-опуклих функцій, так i нових середніх Столярського

The n-exponential convexity for majorization inequality for functions of two variables and related results

We apply the refined method of producing n-exponential convex functions of J. Pečarić and J. Perić to extend some known results on majorization type and related inequalities

The arithmetic-geometric-harmonic-mean and related matrix inequalities

AbstractRecently, Sagae and Tanabe defined a geometric mean of positive definite matrices and proved the harmonic-geometric-arithmetic-mean inequality. Here, we give a reversal of these results

On the geometric-arithmetic mean inequality for matrices

In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality are given

An integral inequality

Not available