Approximation Properties of (λ,μ)‐Bernstein‐Durrmeyer Operators

ABSTRACT In this manuscript, a new kind of ( )‐Bernstein‐Durrmeyer operators is introduced. A Korovkin‐type approximation theorem is obtained, the rate of convergence is investigated by using the modulus of smoothness, Lipschitz continuous function, and Steklov mean, a Voronovskaja asymptotic formula is established, and graphical representations and numerical examples are also presented to compare the newly defined ones with other forms.