Factorial functionRate of convergenceIn this paper, based on the Burnside's formula and our early works, a general continued fraction approximation of the factorial function and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over...
We study here the elementary properties of the relative entropy for phi a convex function and A, B bounded self-adjoint operators. In particular, we prove ... M Lewin,J Sabin - 《Letters in Mathematical Physics》 被引量: 35发表: 2014年 The general form of gamma-family of quantum relative...
This paper is concerned with differential equations of the form d$^{2}$w/dz$^{2}$ = {u$^{2}$f(u, z) + g(u, z)}w, in which u is a positive parameter and z i... F.,W.,J.,... - 《Philosophical Transactions of the Royal Society A Mathematical Physical & Engineering Scie...
component. In the current work, the result is generalized for a general representation of gamma-matrices and a general component (satisfying some conditions). The resulting equivalent of the Dirac equation is also manifestly relativistically covariant and should be useful in applications of the Dirac...
Some Generalization of Hadamard's type Inequalities through Differentiability for s-Convex Function and their Applications In this paper, a general form of integral inequalities of Hermite-Hadamard's type through differentiability for s-Convex function in second sense and whose... M Muddassar,MI Bhatt...
Now assume we have an interface condition at the inner vertex written in the form $$\begin{aligned} A \begin{pmatrix} u_1(0)\\ \vdots \\ u_n(0) \end{pmatrix} +B \begin{pmatrix} u_1'(0)\\ \vdots \\ u_n'(0) \end{pmatrix}=0, \end{aligned}$$ (1.2) where A and...
Metcalf: The Minkowski and Tchebychef inequalities as functions of the index set. Duke Math. J. 35, 865–873 (1968). MathSciNet MATH Google Scholar Mulholland, H. P.: On generalizations of Minkowski’s inequality in the form of a triangle inequality. Proc. London Math. Soc. (2) 51...
In the proposed algorithm, as the closed-form solutions of parameters [Math Processing Error]ϕϕ and [Math Processing Error]γγ are not available, the BFGS quasi-Newton method is adopted for optimising. This quasi-Newton algorithm has fewer constraints on the convexity of the target ...
function technique. Al-Said [3], Noor and Al-Said [112], Noor and Tirmizi [148] and Al-Said et al. [4,5] used this technique to develop some numerical methods for solving these systems of differential equations. The main advantage of this technique is its simple applicability for ...
ofnearx, for eachx. Intuitively, this means thatfis “locally derivable” from; that is,. Moreover, often there is a functionthat is “MLD” with, namely; the local behavior ofnearxis also determined by the local behavior ofnearx, for each. Assuming this, we see that, given two ...