Duman, OktayDella Vecchia, BiancamariaErkuş-Duman, Esra2024-04-202024-04-202024Duman, O., Della Vecchia, B., & Erkus-Duman, E. (2024). Kantorovich Version of Vector-Valued Shepard Operators. Axioms, 13(3), 181.2075-1680https://doi.org/10.3390/axioms13030181https://hdl.handle.net/20.500.11851/11491In the present work, in order to approximate integrable vector-valued functions, we study the Kantorovich version of vector-valued Shepard operators. We also display some applications supporting our results by using parametric plots of a surface and a space curve. Finally, we also investigate how nonnegative regular (matrix) summability methods affect the approximation.eninfo:eu-repo/semantics/openAccessmultivariate approximationapproximation of vector-valued functionsShepard operatorsKantorovich operatorsmatrix summability methodsCesaro summabilityNeural-Network OperatorsInterpolationConvergenceArticle10.3390/axioms13030181