New Types of Convergence on Time Scales

2016/10/22 by Ghosh, Argha, Maity, Manojit
#26E70 #40A35 #FOS: Mathematics #Functional Analysis (math.FA) #G.3

paper · doi:10.48550/arxiv.1610.07026

Abstract

This paper is discussing about the notion of some new types of convergences namely I-convergence and I^*-convergence of a Δ-measurable function f on time scales T by considering ideal on time scales T. This idea is further extended to the notion of statistical convergence of a Δ-measurable function f on time scales T.

Related

• Δ- convergence on time scale
• The Classical Theorems of Measure Theory in connection with the Statistical convergence and some remarks on Steinhaus' Theorem
• Note on f_λ-statistical convergence
• Criterion for convergence almost everywhere, with applications
• The speed of convergence in the renewal theorem