rolling average to multiple variables in R using data.table package

From your description you want something like this, which is similar to one example that can be found in one of the data.table vignettes:

library(data.table)
set.seed(42)
DT <- data.table(x = rnorm(10), y = rlnorm(10), z = runif(10), g = c("a", "b"), key = "g")
library(zoo)
DT[, paste0("ravg_", c("x", "y")) := lapply(.SD, rollmean, k = 3, na.pad = TRUE), 
   by = g, .SDcols = c("x", "y")]

Now, one can use the frollmean function in the data.table package for this.

library(data.table)    
xy <- c("x", "y")
DT[, (xy):= lapply(.SD, frollmean, n = 3, fill = NA, align="center"), 
                                   by = g, .SDcols =  xy]

Here, I am replacing the x and y columns by the rolling average.

---

# Data
set.seed(42)
DT <- data.table(x = rnorm(10), y = rlnorm(10), z = runif(10), 
                                g = c("a", "b"), key = "g")