Just want to add something to the world, to build value. ©

Empress Elisabeth of Austria did maths . She is famous for this integral : $$int_{0}^{pi}Si(x)Si(x)dx$$ Wich is an unsolved problem .(lol) Well I like maths at a amateur level and also Monty Python .My god in music is JS Bach played by Glenn Gould.I dislike philosophy .Now...I sleep. Hard nut : Let : $$b=frac{xpleft(x+yright)}{x+z},c=frac{pbleft(v+yright)}{v+y}$$ Then define : $$fleft(x,y,z,pright)=frac{1}{133+frac{81p^{3}left(x+yright)^{3}}{left(x+zright)^{3}}}$$ And : $$aleft(x,y,z,v,pright)=2fleft(frac{left(x+frac{xcdot pcdotleft(x+yright)}{x+z}right)}{2},y,z,pright)+frac{left(frac{xcdot pleft(x+yright)}{x+z}frac{pleft(v+yright)}{v+z}right)^{4}}{133left(frac{xcdot pleft(x+yright)}{x+z}frac{pleft(v+yright)}{v+z}right)^{3}+81x^{3}}-frac{left(frac{xcdot pleft(x+yright)}{x+z}+frac{xcdot pleft(x+yright)}{x+z}frac{pleft(v+yright)}{v+z}+xright)}{214}$$ Then we have for $x,y,z>0$ : $$a(1,x+y+1,1+x+y+z,1+x,1+x+y+z+1)geq 0$$ Where all the coefficients are positives Where we have used : $fleft(x,y,z,pright)=frac{1}{133+frac{81p^{3}left(x+uright)^{3}}{left(x+kright)^{3}}}$ wich seems to be convex for $0<uleq kleq 1$ and $pgeq 1$ ©