Approximation of certain operators on time scales via deferred Cesàro mean
DOI:
https://doi.org/10.2298/FIL2604479BKeywords:
Sequence of functions, Time scale, Statistical convergence, Summability, Korovkin-type approximation theoremsAbstract
The paper first studies the basic notions of statistical convergence for a sequence of time scale functions via deferred Cesàro summability mean. Some useful limit related and inclusion results among these newly defined notions have been examined. Also based upon these notions, two Korovkin-type approximation theorems with certain algebraic test functions have been established. An example is provided considering a positive linear operator in association with Bernstein polynomial to clarify the relevant results. Moreover, the rate of statistical deferred Cesàro summability is estimated.
