Fuzzy approximation theorems via statistical deferred Nörlund Riemann integrability

This study introduces and investigates the concepts of deferred N?rlund statistical Riemann integrability and statistical deferred N?rlund Riemann summability for sequences of fuzzy number-valued functions. It begins by establishing an inclusion result that clarifies the relationship between these newly proposed notions. Subsequently, new fuzzy Korovkin-type theorems are developed using the three fun- damental algebraic test functions 1, x, x² and based on our proposed means. To demonstrate the practical significance of these results, an example is presented involving a fuzzy positive linear operator associ-ated with Bernstein polynomials. Additionally, the convergence behavior of these operators is illustrated graphically using MATLAB.