کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4622019 1339492 2007 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Matrix characterization of A-statistical convergence
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Matrix characterization of A-statistical convergence
چکیده انگلیسی

The main objective of the paper is to characterize multipliers of summability fields of regular methods, while relaxing the usual boundedness condition. For this purpose we use the sequence spaces of A-bounded sequences and A-uniformly integrable sequences. Among the main results, it is shown that the space of multipliers is closely related to the space of A-statistically convergent sequences and that A-statistical convergence over ℓ∞ is equivalent to a regular matrix method. This observation eliminates the need for separate proofs of several A-statistical convergence results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 335, Issue 1, 1 November 2007, Pages 406-417