  In this paper, we introduce a new type of generalized alternating
hyperharmonic numbers $H_n^{(p,r,s_{1},s_{2})}$, and show that Euler sums of
the generalized alternating hyperharmonic numbers $H_n^{(p,r,s_{1},s_{2})}$ can
be expressed in terms of linear combinations of classical (alternating) Euler
sums.

Number Theory