On a convergence rate of generalized truncated hypersingular integrals associated to generalized Flett potentials

Almost Everywhere Convergence of Poisson Integrals on Generalized Half-planes

Monoidal closedness of $L$-generalized convergence spaces

In this paper, it is shown that the category of stratified $L$-generalized convergence spaces is monoidal closed if the underlying truth-value table $L$ is a complete residuated lattice. In particular, if the underlying truth-value table $L$ is a complete Heyting Algebra, the Cartesian closedness of the category is recaptured by our result.

On the Rate of Convergence by Generalized Baskakov Operators

We firstly construct generalized Baskakov operators V n,α,q (f; x) and their truncated sum B n,α,q (f; γ n , x). Secondly, we study the pointwise convergence and the uniform convergence of the operators V n,α,q (f; x), respectively, and estimate that the rate of convergence by the operators V n,α,q (f; x) is 1/n. Finally, we study the convergence by the truncated operators B n,α,q (f; γ n , x) ...

On the Evaluation of Generalized Watson Integrals

The triple integrals

A Generalized Proximal Point Algorithm and Its Convergence Rate

We propose a generalized proximal point algorithm (PPA), in the generic setting of finding a root of a maximal monotone operator. In addition to the classical PPA, a number of benchmark operator splitting methods in the PDE and optimization literatures can be retrieved by this generalized PPA scheme. We establish the convergence rate of this generalized PPA scheme under different conditions, in...