Abstract
The present study deals with I-asymptotically equivalent sequences in partial metric spaces. We define the notions of strongly I-asymptotically lacunary equivalent, I-asymptotically statistical equivalent, and I-asymptotically lacunary statistical equivalent. We theoretically contribute to these notions and investigate some of their basic properties.
Publisher
Centre for Evaluation in Education and Science (CEON/CEES)
Reference27 articles.
1. H. Fast, Sur la convergence statistique, Colloquium Mathematicae, 2 (3-4) (1951), 241-244;
2. H. Steinhaus, Sur la convergence ordinaire et la convergence asymptotique, Colloquium Mathematicae, 2 (1951), 73-74;
3. R.C. Buck, Generalized asymptotic density, American journal of mathematics, 75 (2) (1953), 335-346;
4. T. Salat, On statistically convergent sequences of real numbers, Mathematica Slovaca, 30 (2) (1980), 139-150;
5. J.A. Fridy, Statistical limit points, Proceedings of the American mathematical society, 118 (4) (1993), 1187-1192;