On genuine $q$-Bernstein--Durrmeyer operators
Copyright policy )On genuine $q$-Bernstein--Durrmeyer operators
Summary: We introduce genuine \(q\)-Bernstein-Durrmeyer operators and estimate the rate of convergence for continuous functions in terms of the modulus of continuity. Furthermore, we study some direct results for the genuine \(q\)-Bernstein-Durrmeyer operators.
q-Durrmeyer operators, \(q\)-Durrmeyer operators, local and global approximation, q-Bernstein polynomials, \(q\)-Bernstein polynomials, modulus of continuity, Approximation by operators (in particular, by integral operators), Rate of convergence, degree of approximation
q-Durrmeyer operators, \(q\)-Durrmeyer operators, local and global approximation, q-Bernstein polynomials, \(q\)-Bernstein polynomials, modulus of continuity, Approximation by operators (in particular, by integral operators), Rate of convergence, degree of approximation
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