  The critical behaviors of ferromagnet Eu0.5Sr0.5CoO3 arround TC=140.5K have
been comprehensively investigated by analyzing a series of isothermal
magnetization M(H) curves. Both Modified Arrott plot and Kouvel-Fisher methods
give nearly the same critical exponents, which scale nicely the M(H) curves
into two different branches below and above TC. The exponents {\gamma}=1.044
and {\delta}=3.06 demonstrate the relevance of mean-field characters for this
material. The conclusion of mean-field behavior proves a dominant itinerant
ferromagnetism (FM) due to a long range exchange interaction in the system.
Meanwhile, by using Rhodes-Wohlfarth's criterion [P. Rhodes and E. P.
Wohlfarth, Proc. R. Soc. Lond. A 273, 247 (1963)], it is further confirmed that
the itinerant FM dominates in the system.
