Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635848 | Applied Mathematics and Computation | 2007 | 8 Pages |
Abstract
In this paper our purpose is to extend some results known in the literature for ordinary (single) sequences to multiply sequences of real and complex numbers. This will be accomplished by presenting the following sequence spaces: {x∈s″:P-limm,n∑k,l=0,0∞,∞am,n,k,lf(|xσk(p),σl(q)|)pk,l=0}, {x∈s″:P-limm,n∑k,l=0,0∞,∞am,n,k,lf(|xσk(p),σl(q)-Le|)pk,l=0,for someL}, and {x∈s″:supm,n,p,q∑k,l=0,0∞,∞am,n,k,lf(|xσk(p),σl(q)|)pk,l<∞} where f is a modulus function, uniformly in (p, q) and A is a nonnegative RH-regular summability matrix method. In addition, we shall give double σ-statistical convergence.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ekrem Savaş,