Some remarks on strong (M,φ)-summability

Some Inequalities on Statistical Summability

We prove some inequalities related to the concepts of C1(st) -conservative matrices, C1(st) lim sup and C1(st) lim inf which are natural analogues of (c, st ∩ l∞) -matrices, st lim sup and st lim inf respectively.

A Note on Some Generalized Summability Methods

In this paper, we continue our investigations in line of our recent papers, Savas and Das [16] and Das, Savas and Ghosal [5]. We introduce the notion of AI statistical convergence which includes the new summability methods studied in [16] and [5] as special cases and make certain observations on this new and more general summability method.

On Some Tauberian Conditions for Abel Summability

In this paper we introduce new Tauberian conditions for Abel summability method that include Hardy Littlewood Tauberian condition [4] as a special case. Mathematics Subject Classification: 40E05

Some Remarks on Roeper’s Remarks on Chomsky’s ‘Remarks’

In his 1970 paper ‘Remarks on nominalization’, Noam Chomsky provided several arguments for the lexicalist hypothesis, namely the idea that nouns like refusal, rejection, growth, and so on are nouns throughout the entire syntactic derivation. Tom Roeper’s paper ‘Chomsky’s Remarks and the transformationalist hypothesis’ challenges the lexicalist hypothesis, arguing that such nouns are syntactical...

On Some Mercerian Theorems in Summability