  For the first time, differential inclusive-jet cross sections have been
measured in neutral current deep inelastic ep scattering using the anti-kT and
SIScone algorithms. The measurements were made for boson virtualities Q^2 > 125
GeV^2 with the ZEUS detector at HERA using an integrated luminosity of 82 pb^-1
and the jets were identified in the Breit frame. The performance and
suitability of the jet algorithms for their use in hadron-like reactions were
investigated by comparing the measurements to those performed with the kT
algorithm. Next-to-leading-order QCD calculations give a good description of
the measurements. Measurements of the ratios of cross sections using different
jet algorithms are also presented; the measured ratios are well described by
calculations including up to O(alphas^3) terms. Values of alphas(Mz) were
extracted from the data; the results are compatible with and have similar
precision to the value extracted from the kT analysis.
