Matrix Transformations and Invariant Mean

Raimi [R. A. Raimi, Invariant means and invariant matrix methods of summability, Doke. Math. J.30 (1963), 81-94] gave a generalization of almost convergent and named it σ−convergent. In this paper we characterize the matrix classes (I (p, u), V∞) and (I (p, u) Vσ) . (2000) Mathematics Subject Classi...

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Published inJournal of King Abdulaziz University. Science Vol. 24; no. 1; pp. 41 - 47
Main Author Al-Mestady , Mohammed O
Format Journal Article
LanguageEnglish
Published Jeddah - Saudi Arabia King Abdulaziz University : Scientific Publishing Centre 01.01.2012
King Abdulaziz University, Scientific Publishing Center
Scientific Publishing Centre
Subjects
AVERAGES
EQUATIONS
Functional analysis
Invariant measures
MATRICES
TRANSFORMATIONS
التحويلات
الجبر التجريدي
الجبر الشامل
المتوسطات الحسابية
المصفوفات
المعادلات
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ISSN1319-1012
1658-4252
DOI10.4197/Sci.24-1.3

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Summary:Raimi [R. A. Raimi, Invariant means and invariant matrix methods of summability, Doke. Math. J.30 (1963), 81-94] gave a generalization of almost convergent and named it σ−convergent. In this paper we characterize the matrix classes (I (p, u), V∞) and (I (p, u) Vσ) . (2000) Mathematics Subject Classification : 40C05 ; 40H05. في عام 1963 أعطى ر. أ. ريمي في بحثه "طرق التجميع للمتوسطات الثابتة و المصفوفات الثابتة" تعميما للتقارب التقريبي و سماه تقارب سيجما و في هذا البحث قمنا بإعطاء وصف لصنفين من المصفوفات هما (λ (π ; υ); ς),(λ (π ; υ); ς ∞).
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ISSN:1319-1012
1658-4252
DOI:10.4197/Sci.24-1.3