TY - JOUR T1 - 2-normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik AU - Ersan, Sibel PY - 2018 DA - December JF - Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi PB - Afyon Kocatepe University WT - DergiPark SN - 2149-3367 SP - 836 EP - 841 VL - 18 IS - 3 LA - tr AB - Bu makalede 2-normlu uzaylarda lacunary istatistiksel delta ward süreklilik kavramı incelenmiştir.Ayrıca, lacunary istatistiksel delta ward süreklilik ve normal anlamda süreklilik arasındaki ilişki ile ilgiliteoremlerin ispatları verilmiştir. KW - Lacunary İstatistiksel Ward Süreklilik KW - Quasi- Cauchy Dizileri KW - Süreklilik KW - 2- normlu Uzay CR - Arslan, M. and Dundar, E., 2018. I-Convergence and I-Cauchy sequence of functions in 2-normed spaces, Konuralp Journal of Mathematics, 6, 1, 57-62. CR - Arslan, M. and Dundar, E., 2018. On I-Convergence of sequences of functions in 2-normed spaces, Southeast Asian Bulletin of Mathematics, 42, 491-502. CR - Arslan, M. and Dundar, E., 2018. Rough convergence in 2-normed spaces, Bulletion of Mathematical Analysis and Applications, ISSN:1821-1291, URL:http://www.bmathaa.org, Volume 10, Issue 3, Pages 1-9. CR - Burton, D.and Coleman, J., 2010. Quasi-Cauchy Sequences.Amer. Math. Monthly, 117, 4, 328- 333. CR - Cakalli, H., 2011a. Forward continuity.J. Comput. Anal. Appl., 13, 2, 225-230. CR - Cakalli H., 2011b.  -quasi-Cauchy sequences.Math. Comput. Modelling, 53, 1-2, 397-401. CR - Cakalli, H., 2011c. Statistical ward continuity.Appl. Math. Lett., 24, 10, 1724-1728. CR - Cakalli, H., Aras, C. G. and Sonmez, A., 2015. Lacunary statistical ward continuity.AIP Conf. Proc.,1676. CR - Cakalli, H. and Ersan, S., 2015a. Lacunary ward continuity in 2-normed spaces.Filomat, 29, 10, 2257-2263. CR - Cakalli, H. andErsan, S., 2014. Strongly lacunary ward continuity in 2-normed spaces.The Scientific World Journal, 2014, Article ID 479679, 5 pages, Doi: 10.1155/2014/. CR - Ersan,S. and Cakalli, H., 2015. Ward continuity in 2- normed spaces.Filomat, 29, 7, 1507-1513. Cakalli, H. and Ersan, S., 2016. New types of continuity in 2-normed spaces.Filomat, 30, 3, 525-532. CR - Freedman, A. R., Sember, J.J. and Raphael, M., 1978.Some Cesàro-type summability spaces.Proc. London. Math. Soc., 37, 508-520. CR - Freese R. and Cho, Y. J., 2001.Geometry of Linear 2- normed spaces.Nova Science Publishers, Inc., Hauppauge, NY. CR - Fridy, J.A. and Orhan, C., 1993. Lacunary statistical convergence.Pacific J. Math., 160, 1, 43-51. CR - Fridy, A. and Orhan, C., 1993. Lacunary statistical Summability.Journal of mathematical analysis and applications, 173, 2, 497-504. CR - Gahler, S., 1963.2-metrische Raume und ihre topologische Struktur.Math.Nachr.,26, 115-148. CR - Gahler, S., 1965.Lineare 2-normietre Raume.Math.Nachr.,28, 1-43. CR - Gurdal, M. and Pehlivan, S., 2004.The statistical convergence in 2-Banach spaces. Thai Journal of Mathematics, 2, 1, 107-113. CR - Gurdal, M., 2006.On ideal convergent sequences in 2-normed spaces. Thai J. Math., 4, 1, 85-91. CR - Gurdal, M. and Acik, I., 2008. On I-Cauchy sequences in 2-normed spaces. Mathematical Inequalities and Applications, 11, 2, 349-354. CR - Gurdal, M. and Pehlivan, S., 2009.Statistical convergence in 2-normed spaces.Southeast Asian Bull. Math., 33, 257-264. CR - Gurdal, M. and Sahiner, A., 2012.Statistical approximation with a sequence of 2-Banach spaces, Mathematical and Computer Modelling, 55, (3-4), 471-479. CR - Kaplan, H. ve Cakalli, H., 2018.Kuvvetli Boşluklu Quasi-CauchyDizileri Üzerine Yeni Bir Çalışma. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22,3, DOI: 10.16984/saufenbilder.357403. CR - Mashadi, H.G., 2001. On finite dimensional 2-normed spaces.Soochow J. Math., 27, 3, 321-329. CR - Savas, E. and Gurdal, M., 2016.Ideal convergent function sequences in random 2-normed spaces. Filomat, 30, 3, 557-567. CR - Sahiner, A., Gurdal, M., Saltan, S. and Gunawan, H., 2007.Ideal convergence in 2-normed spaces, Taiwanese J. Math., 11, 5, 1477-1484. CR - Yegul, S. and Dundar, E., 2017. On statistical convergence of sequences of functions in 2-normed spaces, Journal of Classical Analysis, 10, 1, 49-57. CR - Yıldız, S. 2017. Lacunary statistical delta 2 quasi Cauchy sequences. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21,6, 1408-1412. UR - https://dergipark.org.tr/en/pub/akufemubid/issue//541893 L1 - https://dergipark.org.tr/en/download/article-file/674393 ER -