in this paper, using a generalized translation operator, we prove theestimates for the generalized fourier-bessel transform in the space l2 on certainclasses of functions.

let $a_1$, $a_2$ be unital banach algebras and $x$ be an $a_1$-$a_2$- module. applying the concept of module maps, (inner) modulegeneralized derivations and  generalized first cohomology groups, wepresent several results concerning the relations between modulegeneralized derivations from $a_i$ into the dual space $a^*_i$ (for$i=1,2$) and such derivations  from  the triangular banach algebraof t...

We discuss vacuum static, spherically symmetric asymptotically flat solutions of the generalized hybrid metric-Palatini theory gravity (generalized HMPG) suggested by Böhmer and Tamanini, involving both a metric $$g_{\mu\nu}$$ an independent connection $$\hat{\Gamma}_{\mu\nu}^{\alpha}$$ ; gravitational field Lagrangian is arbitrary function $$f(R,P)$$ two Ricci scalars, $$R$$ obtained from $$P$...

We consider the generalized Lorentz space L ;q dened via a continuous and concave function Fourier series of with respect to an unbounded orthonormal system. Some new Jackson-Nikol'skii type inequalities in this frame are stated, proved discussed. In particular, derived results generalize unify several well-known but also some applications pointed out.

The media play a key role in forming opinions by influencing people´s understanding and perception of a topic. People gather information about topics of interest from the internet and print media, which employ various news frames to attract attention. One example of a common news frame is the human-interest frame, which emotionalizes and dramatizes information and often accentuates individual a...

This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis. It is certainly possible for a continuous frame to have only one dual. Such a continuous frame is called a Riesz-type frame [13]. We show that a continuous frame is Riesz-type if and only if it is a con...

In this work, we study a new class of attractor models which shall call generalized [Formula: see text]-attractor models. This is based on generalization the Einstein frame potential text] gravity in Jordan frame. We present properties corresponding nonminimally coupled theory, and calculate observational indices inflation As show, there large scalar theories, with an arbitrary nonminimal coupl...

In this paper we study using the classi cation-based Bhattacharyya distance measure to guide biphone clustering. The Bhattacharyya distance is a theoretical distance measure between two Gaussian distributions which is equivalent to an upper bound on the optimal Bayesian classi cation error probability. It also has the desirable properties of being computationally simple and extensible to more G...

Dempster-Shafer evidence theory has been extensively used in many information fusion systems since it was proposed by Dempster and extended by Shafer. Many scholars have been conducted on conflict management of Dempster-Shafer evidence theory in past decades. However, how to determine a potent parameter to measure evidence conflict, when the given environment is in an open world, namely the fra...

Presented in this article is a new accurate tool swept volume generation algorithm based on a generalized cutter for five-axis NC simulation and verification. Based on the surface envelope theory and the differential geometry, using analytical method, the strict deduction process of critical curve equation and swept envelope equation for generalized cutter are given. The motion feature of the c...