Research Article
Year 2021,
Volume: 4 Issue: 1, 34 - 41, 31.01.2021
Abstract
References
- 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).
Year 2021,
Volume: 4 Issue: 1, 34 - 41, 31.01.2021
Abstract
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 $x=(x_n)$.
References
- 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).
There are 10 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Submission Date | November 8, 2020 |
| Acceptance Date | February 18, 2021 |
| Publication Date | January 31, 2021 |
| Published in Issue | Year 2021 Volume: 4 Issue: 1 |