Given a real bounded sequence $x=(x_{j})$ and an infinite matrix $A=(a_{nj})$ Knopp core theorem is equivalent to study the inequality $limsup{Ax} ≤ limsup{x}.$ Recently Fridy and Orhan [6] have considered some variants of this inequality by replacing $limsup{x}$ with statistical limit superior $st - limsup{x}$. In the present paper we examine similar type of inequalities by employing a power series method $P$; a non-matrix sequence-to-function transformation, in place of $A =(a_{nj})$ .
Natural density statistical convergence statistical limit superior core of a sequence power series methods
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 30 Eylül 2022 |
Gönderilme Tarihi | 14 Aralık 2021 |
Kabul Tarihi | 16 Mart 2022 |
Yayımlandığı Sayı | Yıl 2022 Cilt: 71 Sayı: 3 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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