M. B. ZAMAN

Absolute Summability by Series-to-Sequence Transformation Matrices

ISSN: 1303-6009
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2019
Yayıncı: Ankara Üniversitesi

Öz n this paper we define an absolute summability by a series-to-sequence transfor mation matrix. We obtain tbe necessary and sufficient conditions in order that every absolutely convergent series is absolutely summable by series-to-sequence transfor mation matrix. For this we find new classes of matrices-conservative series-to-sequence transformation matrices and regular series-to-sequence transformation matrices. We study the relation of these two new classes of matrices with K, p,T and y-matrices. Finally we prove that the absolute summability of an absolutely convergent series by a matrix and the generalized limit of its absolute partial sum are equal under the suitable relation between the two matrices.

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