  Recently, Kaneko and Tsumura introduced multiple $\widetilde{T}$-values,
another kind of poly-Euler numbers and the related Arakawa-Kaneko type zeta
function. It is shown that each of them satisfies similar formulas to those of
multiple zeta values, poly-Bernoulli numbers and the related Arakawa-Kaneko
type zeta function. In this paper, we show some explicit relations for values
of Kaneko-Tsumura $\lambda$ function at positive integers, including the
duality type relation.
