\(A\)-statistical approximation of generalized Szász-Mirakjan-Beta operators. (English) Zbl 1232.41031
Summary: We prove a Korovkin type approximation theorem and obtain the rate of convergence of the generalized Szász-Mirakjan-Beta operators by means of modulus of continuity and elements of Lipschitz class. Furthermore we give the \(A\)-statistical approximation theorem for these operators and investigate the case which provides the best estimation.
MSC:
| 41A36 | Approximation by positive operators |
Keywords:
positive linear operators; Korovkin type theorems; summation; integral type operators; \(A\)-statistical convergence and statistical convergence; Szász-Mirakjan-Beta operatorsReferences:
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