Year: 2026
Type: article
Abstract: In this paper, we introduce and study a family of multidimensional mixed exponential Kantorovich operators on the hypercube $$[0,1]^N$$ [ 0 , 1 ] N . The idea is to define a vector of operators where the integral mean replaces the sample values of the function just with respect to a single variable, letting the exponential sampling-type structure for the other $$N-1$$ N - 1 variables. For such operators, we compute the first multidimensional exponential moments and then we prove both pointwise and uniform convergence: the latter result is obtained by means of Korovkin type theorems. Furthermore, we prove a quantitative estimate of the order of approximation in terms of the modulus of continuity of the approximated function.
Authors: Laura Angeloni, Ali Aral, Firat Ozsarac
Institutions: University of Perugia, Kırıkkale University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W7165887769