In this paper, we investigate the Hyers-Ulam stability for the system of additive, quadratic, cubicand quartic functional equations with constants coecients in the sense of dectic mappings in non-Archimedean normed spaces.

We consider the problem of estimating functional derivatives and gradients in the framework of a functional regression setting where one observes functional predictors and scalar responses. Derivatives are then defined as functional directional derivatives which indicate how changes in the predictor function in a specified functional direction are associated with corresponding changes in the sc...

Cementing of the casing pipes inside the wellbore is considered as one of the most expensive and difficult operations during the well construction process. A low quality cementing job leads to further repair operations, which are usually costly and time-consuming to conduct. Polymer cements are being used for decades in the oil and gas industry due to their improved properties such as sedimenta...

In this article, we develop a nonparametric graphical model for multivariate random functions. Most existing models are restricted by the assumptions of Gaussian or copula distributions, which also imply linear relations among variables functions on different nodes. We relax those building our based new statistical object—the functional additive regression operator. By carrying out and neighbor...

‎Let $mathscr{L}$ be a commutative subspace lattice generated by finite many commuting independent nests on a complex separable Hilbert space $mathbf{H}$ with ${rm dim}hspace{2pt}mathbf{H}geq 3$‎, ‎${rm Alg}mathscr{L}$‎ ‎the CSL algebra associated with $mathscr{L}$ and $mathscr{M}$ be an algebra containing ${rm Alg}mathscr{L}$‎. ‎This article is aimed at describing the form of‎ ‎additive mapppi...