Sentence examples for convergence by using the from inspiring English sources

In Section 4, we give the rate of convergence by using the modulus of continuity and estimate a convergent theorem for the Lipschitz continuous functions.

We give the proof of convergence by using the Markov chain model.

Then the algorithm was updating the parameters iteratively until convergence, by using the training set Tr.

We indicate weak convergence and strong convergence by using the notation ⇀ and →, respectively.

We investigate some approximation properties of these operators and obtain the rate of convergence by using the modulus of continuity.

In Section 4, under less restrictive assumptions, we prove quadratic convergence by using the method of generalized quasilinearization.

They proved that {x n } generated by (1.4) converges strongly to a fixed point of T. Very recently, Kimura and Nakajo [15] investigated iterative schemes for finding common fixed points of a family of nonexpansive mappings and proved strong convergence theorems by using the Mosco convergence technique in a uniformly convex and smooth Banach space.

Moreover, they characterized such strong convergence results by using the notion of Mosco convergence; see also [23].

Agrawal et al. (Boll. Unione Mat. Ital. 8 169-180, 2015) introduced a Stancu-type Kantorovich modification of the operators proposed by Ren and Zeng (Bull. Korean Math. Soc. 50(4):1145-1156, 2013) and studied a basic convergence theorem by using the Bohman-Korovokin criterion, the rate of convergence involving the modulus of continuity, and the Lipschitz function.

We prove a strong convergence theorem by using the proposed algorithm under some suitable conditions.

They proved a strong convergence theorem by using the following iterative algorithm: (1.16).