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   Sharp Bounds for Toader Mean in terms of Arithmetic and Second Contraharmonic Means  
   
نویسنده qian w.-m. ,song y.-q. ,zhang x.-h. ,chu y.-m.
منبع journal of function spaces - 2015 - دوره : 2015 - شماره : 0
چکیده    We present the best possible parameters 1,1 r and 2,2 1/2,1 such that double inequalities 1c(a,b)+1-1a(a,b)0 with a≠b,where a(a,b)=(a+b)/2,c(a,b)=a3+b3/a2+b2 and t(a,b)=2∫0π/2a2cos2θ+b2sin2θdθ/π are the arithmetic,second contraharmonic,and toader means of a and b,respectively. © 2015 wei-mao qian et al.
آدرس school of distance education,huzhou broadcast and tv university, China, school of mathematics and computation science,hunan city university, China, school of mathematics and computation science,hunan city university, China, school of mathematics and computation science,hunan city university, China
 
     
   
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