We introduce the concept of exponentially $s$-convexity in second sense on a time scale interval. prove among other things that if $f: [a, b]\to \mathbb{R}$ is an $s$-convex function, then \begin{align*} &\frac{1}{b-a}\int_a^b f(t)\Delta t\\ &\leq \frac{f(a)}{e_{\beta}(a, x_0) (b-a)^{2s}}(h_2(a, b))^s+\frac{f(b)}{e_{\beta}(b, (b-a)^{2s}}(h_2(b, a))^s, \end{align*} where $\beta$ ...

Background: Members of the eukaryotic Hsp90 family function as important molecular chaperones in the assembly, folding and activation of cellular signaling in development. Two hsp90 genes, hsp90 alpha and hsp90 beta, have been identified in fish and homeothermic vertebrates but not in poikilothermic vertebrates. In the present study, the expression of hsp90 alpha and hsp90 beta genes in Xenopus...

We consider an extension to finite temperature in AdS/ QCD model, which regards anomalous dimension contributions get a bulk mass depending on beta function. study the effect of function as and melting for scalar glueballs.

We use techniques in the shuffle algebra to present a formula for partition function of one-dimensional log-gas comprised particles (possibly) different integer charges at certain inverse temperature $\beta$ terms Berezin integral an associated non-homogeneous alternating tensor. This generalizes previously known results by removing restriction on number species odd charge. Our methods provide ...

In this short paper, we study sums of the shape $$\sum _{n\leqslant x}{f([x/n])}/{[x/n]},$$ where f is Euler totient function $$\varphi $$ , Dedekind $$\Psi sum-of-divisors $$\sigma or alternating $$\beta .$$ We improve previous results when $$f=\varphi and derive new estimates $$f=\Psi f=\sigma $$f=\beta

Aims/hypothesisType 2 diabetes (T2D) is characterized by a progressive loss of beta-cell function, and the “disappearance” beta-cells in T2D may also be caused process beta -cell dedifferentiation. Since noradrenergic innervation inhibits insulin secretion density fibers increased type mouse models, we aimed to study relation between islet innervation, dedifferentiation function humans.MethodsU...

We study the high temperature (or small inverse $\beta$) expansion of free energy double scaled SYK model. find that this is a convergent series with finite radius convergence. It turns out convergence determined by first zero partition function on imaginary $\beta$-axis. also show semi-classical obtained from saddle point approximation exact result consistent energy.

We propose a new approach to constant-roll warm inflation as generalization of inflation. Based on the $\beta$-function formalism, it is shown that models with natural end fall into universality classes defined by three different types $\beta$-functions, under assumption radiation energy density quasi-stable. Given completely specified and dissipation coefficient ratio, we investigate whether o...

Abstract: In this paper we present the Beta function and its main properties. A key feature of the Beta function, which is given by the central-limit theorem, is also shown. We then introduce a new category of neural networks based on a new kernel: the Beta function. Next, we investigate the use of Beta fuzzy basis functions for the design of fuzzy logic systems. The functional equivalence betw...

Abstract We consider the two-dimensional shrinking target problem in beta dynamical systems (for general $\beta>1$ ) with errors of approximation. Let $f, g$ be two positive continuous functions. For any $x_0,y_0\in [0,1]$ , define set $$ \begin{align*}E(T_\beta, f,g):=\left\{(x,y)\in [0,1]^2: \begin{array}{@{}ll@{}} \lvert T_{\beta}^{n}x-x_{0}\rvert <e^{-S_nf(x)}\\[1ex] T_{\beta}^{n}y-y_...