1. DergiPark
  2. Journal of Universal Mathematics
  3. Arşiv
  4. Cilt 4, Sayı 1
Yıl 2021, Cilt 4 , Sayı 1, Sayfalar 34 - 41 2021-01-31

"lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE

Maya ALTINOK [1] , Umutcan KAYA [2] , Mehmet KÜÇÜKASLAN [3]

Öz

Convergence of real valued sequences especially statistical convergence is very popular subject in Mathematical Analysis. Also, it has got a lot of characterizations in literature. In this paper, we are going to define $\lambda$-statistical supremum and $\lambda$-statistical infimum for real valued sequence $x=(x_n)$. After giving some basic properties of these new notations, then we are going to find a necessary and sufficient condition for to existence of λ-statistical convergence of the sequence $x=(x_n)$.

Anahtar Kelimeler

Statistical supremum-infimum, Statistical convergence, Natural density

Kaynakça

  • Alt\i nok. M, K\"u\c{c}\"ukaslan. M, A-Statistical Supremum-Infimum and A-Statistical Convergence, Azerbaijan Journal of Mathematics, Vol.4, No.2, pp.43-57, (2014).
  • Alt\i nok. M, K\"u\c{c}\"ukaslan. M, Ideal Limit Superior-Inferior, Gazi University Journal of Science, Vol.30, No.1, pp.401-411, (2017).
  • Alt\i nok. M, Porosity Supremum-Infimum and Porosity Convergence, Konuralp Journal of Mathematics, Vol.6, No.1, pp.163-170, (2018).
  • Fast. H, Sur la convergence statistique., Colloq. Math, Vol.2, pp.241-244, (1951).
  • Fridy. J. A, On statistical convergence, Analysis, Vol.5, pp.301-313, (1985).
  • K\"u\c{c}\"ukaslan. M, Alt\i nok. M, Statistical supremum infimum and statistical convergence, Aligarh Bulletin of Mathematics, Vol.32, pp.1-16, (2013).
  • Milan. P, Density and related topics, Mathematics Institute Slovak Academic of Sciences (2017).
  • Schoenberg. I. J, The integrability of certain functions and related summability methods, matrix characterization of statistical convergence, Amer.Math., Vol.66, pp.361-375, (1959).
  • Steinhaus. H, Sur la convergence ordinaire at la convergence asymptotique, Colloq. Math., Vol.2, No.1, pp.73-74, (1951).
  • Zygmund. A, Trigonometric series, 2nd., Ed. Vol. II, Cambridge Univ. press, London and New York (1979).

Ayrıntılar

Birincil Dil en
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Yazar: Maya ALTINOK
Kurum: Tarsus Üniversitesi, Mühendislik Fakültesi
Ülke: Turkey

Orcid: 0000-0002-0419-6106
Yazar: Umutcan KAYA
Kurum: MERSİN ÜNİVERSİTESİ
Ülke: Turkey

Yazar: Mehmet KÜÇÜKASLAN (Sorumlu Yazar)
Kurum: MERSIN UNIVERSITY
Ülke: Turkey
Tarihler

Yayımlanma Tarihi : 31 Ocak 2021

Kaynak Göster

Bibtex @araştırma makalesi { jum823084, journal = {Journal of Universal Mathematics}, issn = {2618-5660}, eissn = {2618-5660}, address = {editorinchief@junimath.com}, publisher = {Gökhan ÇUVALCIOĞLU}, year = {2021}, volume = {4}, pages = {34 - 41}, doi = {10.33773/jum.823084}, title = {"lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE}, key = {cite}, author = {Altınok, Maya and Kaya, Umutcan and Küçükaslan, Mehmet} }
APA Altınok, M , Kaya, U , Küçükaslan, M . (2021). "lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE . Journal of Universal Mathematics , 4 (1) , 34-41 . DOI: 10.33773/jum.823084
MLA Altınok, M , Kaya, U , Küçükaslan, M . ""lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE" . Journal of Universal Mathematics 4 (2021 ): 34-41 <https://dergipark.org.tr/tr/pub/jum/issue/60411/823084>
Chicago Altınok, M , Kaya, U , Küçükaslan, M . ""lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE". Journal of Universal Mathematics 4 (2021 ): 34-41
RIS TY - JOUR T1 - "lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE AU - Maya Altınok , Umutcan Kaya , Mehmet Küçükaslan Y1 - 2021 PY - 2021 N1 - doi: 10.33773/jum.823084 DO - 10.33773/jum.823084 T2 - Journal of Universal Mathematics JF - Journal JO - JOR SP - 34 EP - 41 VL - 4 IS - 1 SN - 2618-5660-2618-5660 M3 - doi: 10.33773/jum.823084 UR - https://doi.org/10.33773/jum.823084 Y2 - 2021 ER -
EndNote %0 Journal of Universal Mathematics "lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE %A Maya Altınok , Umutcan Kaya , Mehmet Küçükaslan %T "lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE %D 2021 %J Journal of Universal Mathematics %P 2618-5660-2618-5660 %V 4 %N 1 %R doi: 10.33773/jum.823084 %U 10.33773/jum.823084
ISNAD Altınok, Maya , Kaya, Umutcan , Küçükaslan, Mehmet . ""lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE". Journal of Universal Mathematics 4 / 1 (Ocak 2021): 34-41 . https://doi.org/10.33773/jum.823084
AMA Altınok M , Kaya U , Küçükaslan M . "lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE. JUM. 2021; 4(1): 34-41.
Vancouver Altınok M , Kaya U , Küçükaslan M . "lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE. Journal of Universal Mathematics. 2021; 4(1): 34-41.
IEEE M. Altınok , U. Kaya ve M. Küçükaslan , ""lambda" - STATISTICAL SUPREMUM - INFIMUM AND "lambda" - STATISTICAL CONVERGENCE", Journal of Universal Mathematics, c. 4, sayı. 1, ss. 34-41, Oca. 2021, doi:10.33773/jum.823084
Makalenin Yazarları
Maya ALTINOK [1]
Umutcan KAYA [2]
Mehmet KÜÇÜKASLAN [3]
Makale Gönder
Kabul Edilmiş Makaleler
Arşiv
Editör Kurulu
İletişim