On certain spaces of double sequences by de la Vallée-Poussin mean
In this paper, we introduce some λ2-convergence spaces of double difference sequences of interval numbers with Musielak–Orlicz function ℳ = (Mkl) over n-normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces. Furthermore, we study λ2-statistical convergence of double difference sequences of interval numbers.
Let X,X1,X2,... be i.i.d. random variables, and set Sn=X1+...+Xn. We prove that for three important distributions of X, namely normal, exponential and geometric, series of the type [summation operator]n>=1anP(Sn>=xbn) or [summation operator]n>=1anP(Sn>=xbn) behave like their first term as x-->[infinity].