Title of article :
On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces
Author/Authors :
Debnath, Shyamal Department of Mathematics - Tripura University (A Central University), Suryamaninagar Agartala, India , Debnath, Santonu Department of Mathematics - Tripura University (A Central University), Suryamaninagar Agartala, India , Choudhury, Chiranjib Department of Mathematics - Tripura University (A Central University), Suryamaninagar Agartala, India
Abstract :
In this paper, we introduce the notion of deferred sta-
tistical convergence in the neutrosophic normed spaces as an ex-
tension of statistical convergence, λ-statistical convergence, and la-
cunary statistical convergence. We investigate a few fundamental
properties of the newly introduced notion. Finally, we introduce
the concept of deferred statistical Cauchy sequence and show that
deferred statistical Cauchy sequences are equivalent to deferred sta-
tistical convergent sequences in the neutrosophic normed spaces.
Keywords :
Deferred density , Deferred statistical convergence , neutrosophic normed space
Journal title :
Sahand Communications in Mathematical Analysis