df?Statistical Convergence of Order ? and df?Strong Cesàro Summability of Order ? in Accordance to a Modulus in Metric Spaces

Abstract

In the current study we present df?statistical convergence of order ? and df?strong Cesàro summability of order ? in accordance to a modulus for a sequence in a metric space. Furthermore we introduce the connections between the sets of df?statistically convergent sequences of order ? and between the sets of df?strongly Cesàro summable sequences of order ? in accordance to a modulus for various values ? and under some conditions on f. Besides this we introduce the relationships between the set of df?statistically convergent sequences of order ? and the set of df?strongly Cesàro summable sequences of order ? in accordance to a modulus for various values ? and under some conditions on f. © 2022 by TJM. All rights reserved.