Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON A CLASS OF BIVARIATE MEANS INCLUDING A LOT OF OLD AND NEW MEANS

  • Raissouli, Mustapha (Department of Mathematics Science Faculty Taibah University) ;
  • Rezgui, Anis (Department of Mathematics Science Faculty Taibah University)
  • Received : 2018.02.16
  • Accepted : 2018.11.23
  • Published : 2019.01.31
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Abstract

In this paper we introduce a new formulation of symmetric homogeneous bivariate means that depends on the variation of a given continuous strictly increasing function on (0, ${\infty}$). It turns out that this class of means includes a lot of known bivariate means among them the arithmetic mean, the harmonic mean, the geometric mean, the logarithmic mean as well as the first and second Seiffert means. Using this new formulation we introduce a lot of new bivariate means and derive some mean-inequalities.

Keywords

TABLE 1.1. Fitted standard means

DBSHCJ_2019_v34n1_239_t0001.png 이미지

References

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