Similarity search has attracted many researchers from various communities (real-time stock quotes, network security, sensor networks). Due to the infinite, continuous, fast and real-time properties of the data from these communities, a method is needed for online similarity search in data stream. This paper first proposes the lower bound function LB_seg_WF_global for DTW (dynamic time warping) in the presence of global warping constraints and LB_seg_WF for DTW without global warping constraints, which are not applied to any index structures. They are segmented DTW techniques, and can be applied to sequences and queries of varying lengths in data stream. Next, several tighter lower bounds are proposed to improve the approximate degree of the LB_seg_WF_global and LB_seg_WF. Finally, to deal with the possible continuously non-effective problem of LB_seg_WF_global or LB_seg_WF in data stream, it is believed that lower-bound LB_WF_global (in the presence of global warping constraints) and lower-bound LB_WF, upper-bound UB_WF (without global warping constraints) can fast estimate DTW and hence reduce a lot of redundant computations by incrementally computing. The theoretical analysis and statistical experiments confirm the validity of the proposed methods.