I wish to know why my question Analyzing a definition of average which uses a variation of the Lebesgue integral and measure? was closed for being unclear. I believe I have fully clarified my definitions. I got rid of many confusing limits and tightly condensed my definitions.
I know the post is really long but it's like a summary of my research and I don't know where else to ask this. Please help if possible.
Thank You,
Bharath Krishnan