Optimal Convex Combination Bounds of Arithmetic and Second Seiffert Means for Neuman-S´andor Mean
Keywords:
least value, value β, αA(a, b) (1 − α)T(a, b), M(a, b) < βA(a, b), T(a, b)
Abstract
In this paper, we present the least value α and the greatest value β such that the double inequality αA(a, b) + (1 − α)T(a, b) < M(a, b) < βA(a, b) + (1 − β)T(a, b) hold for all a, b > 0 with a 6= b, where A(a, b), M(a, b) and T(a, b) are the arithmetic, NeumanS´andor and second Seiffert means of a and b, respectively.
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Published
2016-11-30
How to Cite
Hongyan, M., & Chunrong, L. (2016). Optimal Convex Combination Bounds of Arithmetic and Second Seiffert Means for Neuman-S´andor Mean. IJRDO -JOURNAL OF MATHEMATICS, 2(11), 38-44. https://doi.org/10.53555/m.v2i11.1626
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