During the late 50's and early 60's, the notion of Gauge integral was presented by Kurzweil [2] and Henstock [1], independently. On the other hand, Summability theory , which began in the 19th century, is part of analysis (the branch of mathematics dealing with limits and related theories). It generalizes the concept of convergence to all sequences. In this talk, I will talk about the concept of Gauge Strongly Summability by using measurable real valued function defined on $(1,\infty)$. I will also present some inclusion theorems to contrast it with other Summability integration techniques.

References:

[1] R. Henstock, Definitions of Riemann Type of Variational Integral, Proc. London Math. Soc., 11 (1961), 402-418.

[2] J. Kurzweil, Generalized Ordinary Differential Equations and Continuous Dependence on a Parameter, Czech. Math. J., 82 (1957), 418-449.