TY - JOUR TT - A new study on the strongly lacunary quasi Cauchy sequences AU - Cakalli, Huseyin AU - Kaplan, Hüseyin PY - 2018 DA - June Y2 - 2017 DO - 10.16984/saufenbilder.357403 JF - Sakarya University Journal of Science JO - SAUJS PB - Sakarya University WT - DergiPark SN - 2147-835X SP - 907 EP - 914 VL - 22 IS - 3 KW - toplanabilme KW - kuvvetli boşluklu yakınsaklık KW - quasi Cauchy dizisi KW - süreklilik N2 - In this paper, the concept ofan -quasi-Cauchysequence is introduced. We proved interesting theorems related to -quasi-Cauchysequences. A real valued function defined on a subset of , the set of real numbers, is -ward continuous on if it preserves -quasi-Cauchysequences of points in , i.e. is an -quasi-Cauchysequences whenever is an -quasi-Cauchysequences of points in , where a sequence is called -quasi-Cauchy if is an - quasi-Cauchy sequence where for each positiveinteger k. CR - [1] J. Antoni, and T. Salat, “ On the A-continuity of real functions ’’, Acta Math. Univ. 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