Cilt:71 Sayı:03 (2022)

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Browsing Cilt:71 Sayı:03 (2022) by Author "Bayram, Nilay Şahin"

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    Power series methods and statistical limit superior
    (Ankara Üniversitesi, 2022) Bayram, Nilay Şahin; Other; Other
    Given a real bounded sequence x = ( x j ) and an infinite matrix A = ( a n j ) Knopp core theorem is equivalent to study the inequality l i m s u p A x ≤ l i m s u p x . Recently Fridy and Orhan [6] have considered some variants of this inequality by replacing l i m s u p x with statistical limit superior s t − l i m s u p 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 n j ) .