共查询到20条相似文献,搜索用时 15 毫秒
1.
Motivated by recent results on beta-type functions, a new family of means, which are of logarithmic Cauchy quotient type, are determined and characterized. 相似文献
2.
Chao-Ping Chen 《Journal of Mathematical Analysis and Applications》2008,345(1):86-89
A monotonicity result for the ratio between two generalized logarithmic means is established. As an application, an inequality of Alzer for negative powers is extended to all real numbers. 相似文献
3.
LI Yong-min WANG Miao-kun CHU Yu-ming 《高校应用数学学报(英文版)》2014,29(1):101-107
In this paper,we find the greatest value p = log2/(log π. log 2) = 1.53 ··· and the least value q = 5/3 = 1.66 ··· such that the double inequality Mp(a,b) T(a,b) Mq(a,b) holds for all a,b 0 with a = b. Here,Mp(a,b) and T(a,b) are the p-th power and Seiffert means of two positive numbers a and b,respectively. 相似文献
4.
We prove a logarithmic regularity criterion for the 3D generalized magnetohydrodynamics (MHD) system with diffusion terms ?Δu and (?Δ)βb, with . Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
5.
For p ∈ R, the generalized logarithmic mean L p (a, b) and Seiffert’s mean T (a, b) of two positive real numbers a and b are defined in (1.1) and (1.2) below respectively. In this paper, we find the greatest p and least q such that the double-inequality L p (a, b) < T (a, b) < L q (a, b) holds for all a, b > 0 and a ≠b. 相似文献
6.
In this paper, we consider the initial boundary value problem for generalized logarithmic improved Boussinesq equation. By using the Galerkin method, logarithmic Sobolev inequality, logarithmic Gronwall inequality, and compactness theorem, we show the existence of global weak solution to the problem. By potential well theory, we show the norm of the solution will grow up as an exponential function as time goes to infinity under some suitable conditions. Furthermore, for the generalized logarithmic improved Boussinesq equation with damped term, we obtain the decay estimate of the energy. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
7.
The main purpose of this paper is to use elementary methods and properties of the classical Gauss sums to study the computational problem of one kind of fourth power mean of the generalized quadratic Gauss sums mod q (a positive odd number), and give an exact computational formula for it. 相似文献
8.
Using the Fourier series method, we generalize results characterizing the behavior of the integral logarithmic means of Blaschke products of arbitrary order for meromorphic functions.Translated fromMatematicheskie Zametki, Vol. 64, No. 2, pp. 199–206, August, 1998. 相似文献
9.
Devrim Çakmak 《International Journal of Mathematical Education in Science & Technology》2013,44(7):964-970
In this note, by using elementary calculus on time scales, we recall the direct proof of the equivalence between Rolle's and generalized (Cauchy's) mean value theorems on time scales. 相似文献
10.
Chengguan Tan 《International Journal of Mathematical Education in Science & Technology》2013,44(7):1103-1107
In this paper, we give some new mean value theorems, which are generalizations of Flett, Myers and Tong's theorems. 相似文献
11.
Sharp power mean bounds for the Gaussian hypergeometric function 总被引:1,自引:0,他引:1
Kendall C. Richards 《Journal of Mathematical Analysis and Applications》2005,308(1):303-313
Sharp inequalities are established between the Gaussian hypergeometric function and the power mean. These results extend known inequalities involving the complete elliptic integral and the hypergeometric mean. 相似文献
12.
13.
关于广义Dedekind和的加权均值 总被引:1,自引:0,他引:1
任刚练 《纯粹数学与应用数学》2003,19(1):22-24
利用Dirichlet L-函数的均值定理和特征和估计,研究了广义Dedekind和与HurwitzZeta-函数的加权均值分布性质,并给出一个有趣的渐近公式。 相似文献
14.
H. Fejzic C. Freiling D. Rinne 《Proceedings of the American Mathematical Society》2008,136(2):569-576
Functional differences that lead to generalized Riemann derivatives were studied by Ash and Jones in (1987). They gave a partial answer as to when these differences satisfy an analog of the Mean Value Theorem. Here we give a complete classification.
15.
We study a finite-horizon nonstationary Markovian decision problem, that can be interpreted as generalized optimal stopping and whose solution via the usual dynamic programming is in most practical cases not feasible from a computational point of view. Under certain assumptions, most importantly stochastic monotonicity, upper and lower bounds are obtained for optimal values and decisions using a reduced dynamic programming. From this, a suboptimal policy is derived with an upper bound on its suboptimality. Computational aspects and a particular application from optimal exploratory oil drilling are discussed.
Research partially supported by the Consiglio Nazionale delle Ricerche (CNR), Italy, through contract n.80.02343.01 and through GNAFA. 相似文献
Zusammenfassung In der Arbeit wird ein nichtstationäres Markowsches Entscheidungsproblem mit endlichem Planungshorizont betrachtet, das als verallgemeinertes Stopp-Problem interpretiert werden kann. Die numerische Lösung des Problems mit Hilfe der üblichen Methode der dynamischen Optimierung ist in der Regel zu rechenaufwendig. Es wird deshalb eine Methode der approximativen Lösung des Problems (mit gewissen Einschränkungen) vorgeschlagen, und es werden obere und untere Schranken für den Optimalwert hergeleitet. Ferner wird eine suboptimale Politik mit einer oberen Schranke für die Suboptimalität angegeben. Abschließend wird ein praktisches Anwendungsbeispiel (optimale Versuchsbohrungen nach Öl) diskutiert, an dem auch rechentechnische Aspekte des entwickelten Lösungsverfahrens erläutert werden.
Research partially supported by the Consiglio Nazionale delle Ricerche (CNR), Italy, through contract n.80.02343.01 and through GNAFA. 相似文献
16.
Fuchen Zhang Guangyun Zhang Da Lin Xiangkai Sun 《Mathematical Methods in the Applied Sciences》2015,38(8):1696-1704
The bound of a chaotic system is important for chaos control, chaos synchronization, and other applications. In the present paper, the bounds of the generalized Lorenz system are studied, based on the Lyapunov function theory and the Lagrange multiplier method. We obtain a precise bound for the generalized Lorenz system. The rate of the trajectories is also obtained. Furthermore, we perform the numerical simulations. Numerical simulations are presented to show the effectiveness of the proposed scheme. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
17.
18.
He's energy balance method (HEBM) is employed in this article to obtain the analytical approximate solution of the generalized nonlinear oscillator. Existence of periodic solutions is analytically verified and consequently the relationship between the natural frequency and the initial amplitude is obtained in an analytical form. A number of numerical simulations are carried out and accuracy of the HEBM is then examined within an error analysis. The exact values of the natural frequency numerically obtained via the elliptic integrals are taken into account as the references bases and the relative error is then evaluated for a range of oscillation amplitudes. Excellent correlation of the approximate frequencies with the exact ones demonstrates that the approximate solutions are quite consistent even for large amplitudes of oscillation. 相似文献
19.
Xin-Han Dong 《Journal of Mathematical Analysis and Applications》2004,296(2):650-657
Let denote the class of functions f which are areally mean p-valent and have k maximal growth directions in Δ={z:|z|<1}. In this paper we give an asymptotic formula of the mean square of the logarithmic derivative f′/f for with some restricted condition. This generalizes the corresponding result in [J. Anal. Math. 36 (1979) 36-43]. Also we construct a function which does not satisfy this asymptotic formula. 相似文献
20.
In the note, a simple proof is provided for the logarithmic convexity of extended mean values.
The second author was partially supported by the China Scholarship Council. 相似文献