scholarly journals The Rate of Convergence of Truncated Hypersingular Integrals Generated by the Generalized Poisson Semigroup

2020 ◽  
Vol 28 (1) ◽  
pp. 29
Author(s):  
S.E. Sinem ◽  
E. Melih ◽  
Ç. Selim

We introduce a family of Balakrishnan-Rubin type hypersingular integrals depending on a parameter $\varepsilon $ and generated by the Generalized Poisson semigroup. Then the rate of convergence of these families of truncated hypersingular integrals, which converge to $L_{p,\nu }$--function $\varphi $ as $\varepsilon $ tends to $0$, is obtained.






1986 ◽  
Vol 23 (04) ◽  
pp. 1019-1024
Author(s):  
Walter Van Assche

The limit of a product of independent 2 × 2 stochastic matrices is given when the entries of the first column are independent and have the same symmetric beta distribution. The rate of convergence is considered by introducing a stopping time for which asymptotics are given.





1997 ◽  
Vol 37 (3) ◽  
pp. 191-206
Author(s):  
A. Basalykas


Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 880
Author(s):  
Igoris Belovas

In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of convergence to the limiting (normal) distribution, as well as a new proof of the local limit theorem for the numbers of the tribonacci triangle.



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