A Note on Schur-Convexity of Extended Mean Values
نویسندگان
چکیده
منابع مشابه
Necessary and Sufficient Conditions for the Schur Harmonic Convexity or Concavity of the Extended Mean Values
In this paper, we prove that the extended values E(r, s;x, y) are Schur harmonic convex (or concave, respectively) with respect to (x, y) ∈ (0,∞) × (0,∞) if and only if (r, s) ∈ {(r, s) : s ≥ −1, s ≥ r, s+ r + 3 ≥ 0} ∪ {(r, s) : r ≥ −1, r ≥ s, s+r+3 ≥ 0} (or {(r, s) : s ≤ −1, r ≤ −1, s+r+3 ≤ 0}, respectively).
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2005
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181069663