The famous Bochner's theorem asserts that for any function f ∈ L(Tn) the Abel-Poisson means Aε(x, f) are pointwise converge to f(x) a.e., that is, lim e?0 Ae(x, f) = f(x), a.e. x ? Tn. In this paper we investigate the rate of convergence of Abe...
Under certain conditions on a function we prove a theorem asserting that the convergence almost everywhere of trigonometric Fourier series for all functions of class implies the convergence over cubes of the multiple Fourier series and a... Antonov,N Yu - 《Izvestiya Mathematics》 被引量: 11发表...
In this paper the absolute convergence of the Fourier series is studied for the class of the function f with the modulus of continuity and the modulus of variation satif ying the conditions ω(δ, f) = O(ω(δ)) and v(n, f) = 0(v(n)) respectively, where the modulus of continuity...
behind this strategy is to make use of one or more nodes, known as relay(s), to help the communication between source and destination. the result is a virtual antenna array formed by single antenna devices. thus, through cooperation, the same benefits obtained in multiple-input multiple-...
Recently, the Microservices whole link whole life cycle optimization framework has been a research hotspot in the academic and engineering fields, especially how to encapsulate the component security mechanism and conduct high concurrency testing based o
Convergence - every point that is being "relaxed" is moving towards the center point of a Voronoi cell, but due to computational limits in numerical precision it may not ever perfectly reach it. Therefore it is a good idea to use some sort of preset distance threshold value that causes poin...
The first observation is that the task of representing a given number as an Ahmes series with each lying in some interval (with the disjoint, and going to infinity fast enough to ensure convergence of the series), is possible if and only if the infinite sumset to contain , where . ...
5 as a convenient way of conveying to the reader the convergence of the training method. However, such fidelity is never used as a figure of merit during the training procedure: no information about the target \(\vec w_t\) is provided to the artificial neuron during training, but only ...
The noticed convergence of angular range of occurrences and the maximum and minimum values of pressure for the examinations in the direction of detachment and attachment makes it interesting to compare the pressure distribution on the plate in both studies at the same value of the plate inclination...
This property provides the most significant effect on the convergence of numerical computations while the computational modes are increased.(8)g(ξ,η)=ξp(1−ξ)qηr(1−η)s Eq. (8) defines a general form of g function. Through assignment of appropriate values of 0, 1 and 2 to ...