… A method based on sequences is applied to derive inequalities between the
arithmeticgeometric mean of Gauss, the logarithmic mean, and certain other means. … The …

… A sequential method is applied to obtain inequalities between a mean introduced by H.-J.
Seiffert, and other means, including the logarithmic mean, the identric mean, the arithmetic-geometric …

… There seems to be two types of books on inequalities. On the one hand there are treatises
… There are two books that are referred to frequently in certain parts of the book and for which …

… to me number of inequalities are based on, or involve, means of … certain lacunae; some
important results, such as the Steffensen Inequality were not mentioned at all; the works of certain …

… In particular, the functionr ↦→ Mr(x,y) (x = y) is continuous and strictly increasing on R. Several
authors discussed the relationship of certain means to Mr. The following sharp bounds for …

… IFor an extensive bibliography on the mean M see [3] and [17]. The aim of this note is to
obtain new and unitary proofs for certain known inequalities as well as refinements and …

… The possibility of this application is due to the fact, tbat tbe bigher limit in (l) and (4) is, in
certain cases, so close to the value of the integral or sum considered, tbat it may pass as a first …

… In this note we focus on certain inequalities involving the arithmetic mean, the geometric mean,
and the identric mean of two positive … Recall that these means are defined by A(x, y) = x+y …

… classical means are the special cases of the power mean, for … mean, \(M(a,b; 0)=\sqrt{ab}=G(a,b)\)
is the geometric mean, \(M… for certain bivariate means in terms of the power mean have …

… But in the mean * "On certain inequalities between mean values and their application to …
existence of the integrals (50) which puts certain inconvenient restrictions on the ø(t) ,for instance…