Some New Inequalities Between Important Means

Simple item page
dc.creatorRooin, Jamal
dc.creatorHassani, Mehdi
dc.date2007-10-19
dc.date.accessioned2026-07-07T08:37:19Z
dc.date.available2026-07-07T08:37:19Z
dc.descriptionIn this paper, mainly using the convexity of the function $\frac{a^x-b^x}{c^x-d^x}$ and convexity or concavity of the function $\ln\frac{a^x-b^x}{c^x-d^x}$ on the real line, where $a>b\geq c>d>0$ are fixed real numbers, we obtain some important relations between various important means of these numbers. Also, we apply the obtained results to Ky Fan type inequalities and get some new refinements.
dc.descriptionSelected paper in 14th Seminar on Mathematical Analysis and its Applications, February 4-5, 2004, Iran University of Science and Technology, Tehran, Iran
dc.identifierhttps://arxiv.org/abs/0710.3681
dc.identifierhttp://arxiv.org/abs/0710.3681
dc.identifierMathematical Inequalities & Applications (MIA), Volume 10, Number 3 (2007), 517-527
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140364
dc.subjectClassical Analysis and ODEs
dc.subject26D15, 26D15, 26A06, 39B62
dc.titleSome New Inequalities Between Important Means
dc.typetext

Files

Collections

arXiv