Research Projects

In this project, researchers try to analyse the direct and inverse approximation results for the classical Shannon sampling operators and Kantorovich sampling operators for functions in mixed Lebesgue spaces. A direct theorem provides the order of approximation for functions of a specified smoothness and an inverse theorem infers the nature of smoothness of a function when the order of approximation is specified. One of the important reason to analyse the sampling operators in mixed Lebesgue spaces is one can approximate the not necessarily a continuous functions and we can try to deduce the convergence theorems in other functions spaces.