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In the present paper, we introduce a kind of Durrmeyer variant of Bernstein-Stancu operators, and we obtain the direct and converse results of approximation by the operators.
Fig. 4 Experimental curves of fluorescence induction for the leaves of four types of winter wheat (Pdl, Per, Ods, Dos) (red); the results of approximation by three exponential components (black).
Obtained results are shown in Table 1 together with results of measurements by other methods: XRD, TEM, as well as with results of approximation of sample magnetization dependence measured by VSM in the field range 0.8 T [14].
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Concerning the approximation properties of operators and some results on approximation of functions of bounded variation by positive linear operators, one can refer to [2 7].
Recent results on approximation of fixed points of nonexpansive or asymptotically nonexpansive nonself mappings can be found in [14 19] and the references cited therein.
From the result of approximation of of Theorem 4.1 (4.13).
The third curve in Figure 4 is the result of approximation analysis in Section 3.2.
Depending on some predefined conditions, the result of approximation can be either a fuzzy number or fuzzy semi-number.
Dai [6] showed a result of approximation in law to subfractional Brownian motion in the Skorohord topology.
As the calculation result, we obtained a, bd and c levels, as a result of approximation levels b and d evaluating by ∆ 3 criteria (see Fig. 4b).
Also, as we observed, depending on some predefined conditions, the result of approximation can be either a fuzzy number or a fuzzy semi-number.
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