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In this paper, we give the explicit formulas for the Neuman means N A H, N H A, N A C, and N C A, and present the best possible upper and lower bounds for these means in terms of the combinations of harmonic mean H, arithmetic mean A, and contraharmonic mean C. MSC 26E60.
The main purpose of this paper is to give the explicit formulas for the Neuman means N A H, N H A, N A C, and N C A, and to present the best possible upper and lower bounds for these means in terms of the combinations of harmonic, arithmetic, and contraharmonic means.
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