On a refinement of the majorisation type inequality (CROSBI ID 196869)
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Adil Khan, M. ; Niezgoda, Marek ; Pečarić, Josip
engleski
On a refinement of the majorisation type inequality
In this note, two mean value theorems are proved by using some recent results by Barnett et al. [N. S. Barnett, P. Cerone, S. S. Dragomir, Majorisation inequalities for Stieltjes integrals, Appl. Math. Lett. 22 (2009), 416-421]. A new class of Cauchy type means for two functions is studied. Logarithmic convexity for dierences of power means is proved. Monotonicity of Cauchy means is shown
mean value theorems; Stieltjes integrals; majorisation inequalities; Cauchy means
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Matematika