Approximation by Multivariate Max-Product Kantorovich Exponential Sampling Operators

The approximation behavior of multivariate max-product Kantorovich exponential sampling operators has been analyzed. The point-wise and uniform approximation theorem for these sampling series \(I^{\chi ,(M)}_{\textbf{w},j}\) $I_{\mathbf{w},j}^{\chi ,(M)}$ is proved. The degree of approximation in-terms of logarithmic modulus of smoothness is studied. For the class of log-Hölderian functions, the order of uniform norm convergence is established. The norm-convergence theorems for the multivariate max-product Kantorovich exponential sampling operators in Mellin–Lebesgue spaces is studied.