The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( lambda _{r}right) $ and $f_{0}left( lambda _{r}right) $ of $ lambda _{r}$-almost convergent and $lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $beta $- and $gamma $-duals of...

We present DReX, a declarative language that can express all regular string-to-string transformations, and yet can be evaluated efficiently. The class of regular string transformations has a robust theoretical foundation including multiple characterizations, closure properties, and decidable analysis questions, and admits a number of string operations such as insertion, deletion, substring swap...