Sentence examples for approximation by using the from inspiring English sources

Code diversity achieved by our proposed algorithm and the approximation by using the derived upper bound.

Thus it is difficult to obtain an accurate approximation by using the standard MsGDTM for solving the fractional differential equations.

Furthermore, we compute the error of the approximation by using the modulus of continuity and Lipschitz-type functionals.

We establish the Korovkin type approximation results and compute the degree of approximation by using the modulus of continuity.

A response equation for the mean square deflection σ2 is obtained under a single mode approximation by using the equivalent linearization technique.

Based on the assumption that the received signal power decays as the distance from the target increases, system level detection performance measures, namely probabilities of detection and false alarm, are derived analytically through approximation by using the central limit theorem (CLT).

We can generalize the definitions of contextual approximations by using the notion of k-step relation [16].

In this paper, we introduce a new viscosity approximation method by using the shrinking projection algorithm to approximate a common fixed point of a countable family of nonlinear mappings in a Banach space.

In this paper, we use this notion of summability to prove the Korovkin type approximation theorem by using the test functions 1, e − x, e − 2 x.

In this paper, we have presented a Bézier variant of Kantorovich type λ-Bernstein operators (L_{n,lambda,alpha}(f;x)), and established approximation theorems by using the usual second order modulus of smoothness and the Ditzian Totik modulus of smoothness.

In this paper we apply this form of convergence to prove some Korovkin-type approximation theorem by using the test functions 1, e − x, e − 2 x, which generalizes the results of Boyanov and Veselinov (Bull. Math. Soc. Sci. Math. Roum. 14 62):9-13, 1970).