Bayram, Nilay Sahin2022-11-032022-11-0320221303-5991https://dergipark.org.tr/en/download/article-file/2131156http://hdl.handle.net/11727/7973Given a real bounded sequence x = (xj) and an infinite matrix A = (anj) the Knopp core theorem is equivalent to study the inequality lim sup Ax <= lim sup x. Recently Fridy and Orhan [6] have considered some variants of this inequality by replacing lim sup x with statistical limit superior st - lim sup x. In the present paper we examine similar type of inequalities by employing a power series method P, a non-matrix sequence-to-function trans-formation, in place of A = (anj) .enginfo:eu-repo/semantics/openAccessNatural densitystatistical convergencestatistical limit superiorcore of a se-quencepower series methodsArticle713752758000867519100010