Cosmic equation of state from combined angular diameter distances: Does
  the tension with luminosity distances exist?
  Using a relatively complete observational data concerning four angular
diameter distance (ADD) measurements and %synthetic combined SN+GRB
observations representing current luminosity distance (LD) data, this paper
investigates the %tension between compatibility of these two cosmological
distances considering three classes of dark energy equation of state (EoS)
reconstruction. In particular, we use strongly gravitationally lensed systems
from various large systematic gravitational lens surveys and galaxy clusters,
which yield the Hubble constant independent ratio between two angular diameter
distances $D_{ls}/D_s$ data. Our results demonstrate that, with more general
categories of standard ruler data, ADD and LD data are compatible at $1\sigma$
level. Secondly, we note that consistency between ADD and LD data %are blind is
maintained irrespective of the EoS parameterizations: there is a good match
between the universally explored CPL model and other formulations of cosmic
equation of state. Especially for the truncated GEoS model with $\beta=-2$, the
conclusions obtained with ADD and LD are almost the same. Finally, statistical
analysis of generalized dark energy equation of state performed on four classes
of ADD data provides stringent constraints on the EoS parameters $w_0$,
$w_{\beta}$ and $\beta$, which suggest that dark energy was a subdominant
component at early times. Moreover, the GEoS parametrization with $\beta\simeq
1$ seems to be a more favorable two-parameter model to characterize the cosmic
equation of state, because the combined angular diameter distance data
(SGL+CBF+BAO+WMAP9) provide the best-fit value $\beta=0.751^{+0.465}_{-0.480}$.
