  The production of K^0_S mesons and Lambda baryons in quark and gluon jets has
been investigated using two complementary techniques. In the first approach,
which provides high statistical accuracy, jets were selected using different
jet finding algorithms and ordered according to their energy. Production rates
were determined taking into account the dependences of quark and gluon
compositions as a function of jet energy as predicted by Monte Carlo models.
Selecting three-jet events with the k_perp (Durham) jet finder (y_cut = 0.005),
the ratios of K^0_S and Lambda production rates in gluon and quark jets
relative to the mean charged particle multiplicity were found to be 1.10 +/-
0.02 +/- 0.02 and 1.41 +/- 0.04 +/- 0.04, respectively, where the first
uncertainty is statistical and the second is systematic. In the second
approach, a new method of identifying quark jets based on the collimation of
energy flow around the jet axis is introduced and was used to anti-tag gluon
jets in symmetric (Y-shaped) three-jet events. Using the cone jet finding
algorithm with a cone size of 30 degrees, the ratios of relative production
rates in gluon and quark jets were determined to be 0.94 +/- 0.07 +/- 0.07 for
K^0_S and 1.18 +/- 0.10 +/- 0.17 for Lambda. The results of both analyses are
compared to the predictions of Monte Carlo models.
