Approximation by Generalized Baskakov Kantorovich Operators of Arbitrary Order

This article addresses an improved Kantorovich form of the Baskakov type operators using arbitrary sequences. These operators preserve exponential functions of the form a−x , a 1 and approximate functions with arbitrary order, i.e., one can achieve significantly better approximation by appropriate choices of sequences.We first prove an important lemma which further helps us to establish certain direct results, including quantitative type asymptotic formula and a Voronovskaya type theorem.We also provide estimation of error using usual modulus of continuity. Furthermore, the results are validated via some convergence and error estimation graphs proving the better approximation of the proposed operator.