A New Type of Generalization on W—Asymptotically J λ—Statistical Equivalence with the Number of α

Abstract

In our paper, by using the concept of W-asymptotically J- statistical equivalence of order α which has been previously defined, we present the definitions of W-asymptotically Jλ-statistical equivalence of order α, W-strongly asymptotically Jλ-statistical equivalence of order α, and W-strongly Cesáro asymptotically J-statistical equivalence of order α where 0<α≤1. We also extend these notions with a sequence of positive real numbers, p=(pk), and we investigate how our results change if p is constant.

Mathematical Analysis and Applications

“…Website: http://www.math.uvic.ca/faculty/harimsri/ This volume contains the invited, accepted and published submissions (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]) to a Special Issue of the MDPI journal Axioms on the subject-area of "Mathematical Analysis and Applications".…”