Browsing by Subject "Sharp inequalities"

Now showing items 1-2 of 2

    • Article  

      A new refinement of Young's inequality 

      Alzer, H.; Koumandos, S. (2007)
      A classical theorem due to Young states that the cosine polynomial c n(x) = 1 + ∑k=1n cos(kx)/k is positive for all n ≥ 1 and x ∈ (0, π). We prove the following refinement. For all n ≥ 2 and x ∈ [0, π] we have 1/6 + c(π - ...
    • Article  

      Some inequalities for the sine integral 

      Koumandos, S. (2005)
      We establish several sharp inequalities involving the function Si(x) = ∫0x sin t/t dt. © 2005 Victoria University. All rights reserved.