Sharp power means bounds for Neuman-S\'andor mean
Abstract
For a,b>0 with a=b, let N(a,b) denote the Neuman-S\'andor mean defined by N(a,b)=((a-b)/(2arcsinh((a-b)/(a+b)))) and Ar(a,b) denote the r-order power mean. We present the sharp power means bounds for the Neuman-S\'andor mean: Ap1(a,b)<N(a,b)≤Ap2(a,b), where p1= ((ln2)/(lnln(3+22))) and p2=4/3 are the best constants.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.