
handle: 20.500.12587/24216
In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator. Secondly, we compute the rate of convergence of this operator by means of the modulus of continuity and we present approximation properties of weighted spaces. Finally, we obtain the Voronovskaya type theorem of this operator.
peetre $k$-function, gamma operator, Approximation by positive operators, Voronovskaya theorem, Rate of convergence, degree of approximation, Jain operator; Gamma operator; weighted space; modulus of continuity; Peetre K-function; Voronovskaya theorem, voronovskaya theorem, Gamma operator, modulus of continuity, QA1-939, Peetre \(K\)-function, weighted space, jain operator, Jain operator, Mathematics
peetre $k$-function, gamma operator, Approximation by positive operators, Voronovskaya theorem, Rate of convergence, degree of approximation, Jain operator; Gamma operator; weighted space; modulus of continuity; Peetre K-function; Voronovskaya theorem, voronovskaya theorem, Gamma operator, modulus of continuity, QA1-939, Peetre \(K\)-function, weighted space, jain operator, Jain operator, Mathematics
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