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Fractional $\alpha$-Bernstein-Kantorovich operators of order $\beta$: A new construction and approximation results

Fractional $\alpha$-Bernstein-Kantorovich operators of order $\beta$: A new construction and approximation results

In the current article, we establish a distinct version of the operators defined by Berwal \emph{et al.}, which is the Kantorovich type modification of $\alpha$-Bernstein operators to approximate Lebesgue's integrable functions. We define its modification that can preserve the linear function and analyze its characteristics. Additionally, we construct the bivariate …