Research Article
BibTex RIS Cite

2-normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik

Year 2018, Volume: 18 Issue: 3, 836 - 841, 30.12.2018

Sibel Ersan

Abstract

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 ilgili
teoremlerin ispatları verilmiştir.

Keywords

Lacunary İstatistiksel Ward Süreklilik Quasi- Cauchy Dizileri Süreklilik 2- normlu Uzay

References

  • 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.
  • 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.
  • 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.
  • Burton, D.and Coleman, J., 2010. Quasi-Cauchy Sequences.Amer. Math. Monthly, 117, 4, 328- 333.
  • Cakalli, H., 2011a. Forward continuity.J. Comput. Anal. Appl., 13, 2, 225-230.
  • Cakalli H., 2011b.  -quasi-Cauchy sequences.Math. Comput. Modelling, 53, 1-2, 397-401.
  • Cakalli, H., 2011c. Statistical ward continuity.Appl. Math. Lett., 24, 10, 1724-1728.
  • Cakalli, H., Aras, C. G. and Sonmez, A., 2015. Lacunary statistical ward continuity.AIP Conf. Proc.,1676.
  • Cakalli, H. and Ersan, S., 2015a. Lacunary ward continuity in 2-normed spaces.Filomat, 29, 10, 2257-2263.
  • 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/.
  • 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.
  • Freedman, A. R., Sember, J.J. and Raphael, M., 1978.Some Cesàro-type summability spaces.Proc. London. Math. Soc., 37, 508-520.
  • Freese R. and Cho, Y. J., 2001.Geometry of Linear 2- normed spaces.Nova Science Publishers, Inc., Hauppauge, NY.
  • Fridy, J.A. and Orhan, C., 1993. Lacunary statistical convergence.Pacific J. Math., 160, 1, 43-51.
  • Fridy, A. and Orhan, C., 1993. Lacunary statistical Summability.Journal of mathematical analysis and applications, 173, 2, 497-504.
  • Gahler, S., 1963.2-metrische Raume und ihre topologische Struktur.Math.Nachr.,26, 115-148.
  • Gahler, S., 1965.Lineare 2-normietre Raume.Math.Nachr.,28, 1-43.
  • Gurdal, M. and Pehlivan, S., 2004.The statistical convergence in 2-Banach spaces. Thai Journal of Mathematics, 2, 1, 107-113.
  • Gurdal, M., 2006.On ideal convergent sequences in 2-normed spaces. Thai J. Math., 4, 1, 85-91.
  • Gurdal, M. and Acik, I., 2008. On I-Cauchy sequences in 2-normed spaces. Mathematical Inequalities and Applications, 11, 2, 349-354.
  • Gurdal, M. and Pehlivan, S., 2009.Statistical convergence in 2-normed spaces.Southeast Asian Bull. Math., 33, 257-264.
  • Gurdal, M. and Sahiner, A., 2012.Statistical approximation with a sequence of 2-Banach spaces, Mathematical and Computer Modelling, 55, (3-4), 471-479.
  • 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.
  • Mashadi, H.G., 2001. On finite dimensional 2-normed spaces.Soochow J. Math., 27, 3, 321-329.
  • Savas, E. and Gurdal, M., 2016.Ideal convergent function sequences in random 2-normed spaces. Filomat, 30, 3, 557-567.
  • Sahiner, A., Gurdal, M., Saltan, S. and Gunawan, H., 2007.Ideal convergence in 2-normed spaces, Taiwanese J. Math., 11, 5, 1477-1484.
  • 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.
  • Yıldız, S. 2017. Lacunary statistical delta 2 quasi Cauchy sequences. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21,6, 1408-1412.

Year 2018, Volume: 18 Issue: 3, 836 - 841, 30.12.2018

Sibel Ersan

Abstract

References

  • 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.
  • 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.
  • 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.
  • Burton, D.and Coleman, J., 2010. Quasi-Cauchy Sequences.Amer. Math. Monthly, 117, 4, 328- 333.
  • Cakalli, H., 2011a. Forward continuity.J. Comput. Anal. Appl., 13, 2, 225-230.
  • Cakalli H., 2011b.  -quasi-Cauchy sequences.Math. Comput. Modelling, 53, 1-2, 397-401.
  • Cakalli, H., 2011c. Statistical ward continuity.Appl. Math. Lett., 24, 10, 1724-1728.
  • Cakalli, H., Aras, C. G. and Sonmez, A., 2015. Lacunary statistical ward continuity.AIP Conf. Proc.,1676.
  • Cakalli, H. and Ersan, S., 2015a. Lacunary ward continuity in 2-normed spaces.Filomat, 29, 10, 2257-2263.
  • 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/.
  • 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.
  • Freedman, A. R., Sember, J.J. and Raphael, M., 1978.Some Cesàro-type summability spaces.Proc. London. Math. Soc., 37, 508-520.
  • Freese R. and Cho, Y. J., 2001.Geometry of Linear 2- normed spaces.Nova Science Publishers, Inc., Hauppauge, NY.
  • Fridy, J.A. and Orhan, C., 1993. Lacunary statistical convergence.Pacific J. Math., 160, 1, 43-51.
  • Fridy, A. and Orhan, C., 1993. Lacunary statistical Summability.Journal of mathematical analysis and applications, 173, 2, 497-504.
  • Gahler, S., 1963.2-metrische Raume und ihre topologische Struktur.Math.Nachr.,26, 115-148.
  • Gahler, S., 1965.Lineare 2-normietre Raume.Math.Nachr.,28, 1-43.
  • Gurdal, M. and Pehlivan, S., 2004.The statistical convergence in 2-Banach spaces. Thai Journal of Mathematics, 2, 1, 107-113.
  • Gurdal, M., 2006.On ideal convergent sequences in 2-normed spaces. Thai J. Math., 4, 1, 85-91.
  • Gurdal, M. and Acik, I., 2008. On I-Cauchy sequences in 2-normed spaces. Mathematical Inequalities and Applications, 11, 2, 349-354.
  • Gurdal, M. and Pehlivan, S., 2009.Statistical convergence in 2-normed spaces.Southeast Asian Bull. Math., 33, 257-264.
  • Gurdal, M. and Sahiner, A., 2012.Statistical approximation with a sequence of 2-Banach spaces, Mathematical and Computer Modelling, 55, (3-4), 471-479.
  • 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.
  • Mashadi, H.G., 2001. On finite dimensional 2-normed spaces.Soochow J. Math., 27, 3, 321-329.
  • Savas, E. and Gurdal, M., 2016.Ideal convergent function sequences in random 2-normed spaces. Filomat, 30, 3, 557-567.
  • Sahiner, A., Gurdal, M., Saltan, S. and Gunawan, H., 2007.Ideal convergence in 2-normed spaces, Taiwanese J. Math., 11, 5, 1477-1484.
  • 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.
  • Yıldız, S. 2017. Lacunary statistical delta 2 quasi Cauchy sequences. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21,6, 1408-1412.
There are 28 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Sibel Ersan This is me

Publication Date December 30, 2018
Submission Date January 3, 2018
Published in Issue Year 2018 Volume: 18 Issue: 3

Cite

APA Ersan, S. (2018). 2-normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 18(3), 836-841.
AMA Ersan S. 2-normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. December 2018;18(3):836-841.
Chicago Ersan, Sibel. “2-Normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18, no. 3 (December 2018): 836-41.
EndNote Ersan S (December 1, 2018) 2-normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18 3 836–841.
IEEE S. Ersan, “2-normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 18, no. 3, pp. 836–841, 2018.
ISNAD Ersan, Sibel. “2-Normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18/3 (December 2018), 836-841.
JAMA Ersan S. 2-normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2018;18:836–841.
MLA Ersan, Sibel. “2-Normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 18, no. 3, 2018, pp. 836-41.
Vancouver Ersan S. 2-normlu Uzaylarda Lacunary İstatistiksel Delta Ward Süreklilik. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2018;18(3):836-41.


This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.