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 w , j χ , (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. [ABSTRACT FROM AUTHOR]