@article{article_357403, title={A new study on the strongly lacunary quasi Cauchy sequences}, journal={Sakarya University Journal of Science}, volume={22}, pages={907–914}, year={2018}, DOI={10.16984/saufenbilder.357403}, author={Cakalli, Huseyin and Kaplan, Hüseyin}, keywords={summabilty,strongly lacunary convergence,quasi-Cauchy sequences,boundedness,continuity}, abstract={<p class="MsoNormal" style="margin-right:-14.75pt;">In this paper, the concept of
an <b> <span> </span> - </b>quasi-Cauchy
sequence is introduced. We proved interesting theorems related to <b> <span> </span> - </b>quasi-Cauchy
sequences. A real valued function <b> <span> </span> </b>defined on a subset <b> <span> </span>  </b>of <b> <span> </span>, </b>the set of real numbers, is <b> <span> </span>- </b>ward continuous on <b> <span> </span> </b> if it preserves <b> <span> </span> - </b>quasi-Cauchy
sequences of points in <b> <span> </span> </b>, i.e. <b> <span> </span> </b>is an <b> <span> </span> - </b>quasi-Cauchy
sequences whenever <b> <span> </span>  </b>is an <b> <span> </span> - </b>quasi-Cauchy
sequences of points in <b> <span> </span>, </b>where a sequence <b> <span> </span>  </b>is called <b> <span> </span> - </b>quasi-Cauchy if <b> <span> </span> </b>is an <b> <span> </span>- </b>quasi-Cauchy sequence where <b> <span> </span>  </b>for each positive
integer k. </p> <p> </p>}, number={3}, publisher={Sakarya University}