DENSITY BY MODULI AND STATISTICAL CONVERGENCE

作者：Aizpuru A^*; Listan Garcia M C; Rambla Barreno F

来源：Quaestiones Mathematicae, 2014, 37(4): 525-530.

DOI：10.2989/16073606.2014.981683

• Density
• modulus function
• statistical convergence

By using modulus functions we introduce a new concept of density for sets of natural numbers. Consequently, we obtain a generalization of the notion of statistical convergence which is studied and characterized. As an application, we prove that the ordinary convergence is equivalent to the module statistical conver- gence for every unbounded modulus function.

• 出版日期2014