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A one-parameter family of bivariate means

A one-parameter family of bivariate means

A one-parameter family of bivariate means is introduced.Members of the new family of means are derived from a bivariate symmetric mean.It is shown that new means are symmetric in their variables.Several inequalities involving parametric versions of two Seiffert means, the Neuman-Sándor mean, and the logarithmic means are obtained.It is shown …