Results 51 to 60 of about 6,245,398 (182)

One kind power mean of the hybrid Gauss sums

open access: yesOpen Mathematics, 2018
In this paper, we use the analysis method and the properties of trigonometric sums to study the computational problem of one kind power mean of the hybrid Gauss sums. After establishing some relevant lemmas, we give an exact computational formula for it.
Lan Qi, Wenpeng Zhang
doaj   +1 more source

The Generalized Quadratic Gauss Sum and Its Fourth Power Mean

open access: yesMathematics, 2019
In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two ...
Shimeng Shen, Wenpeng Zhang
doaj   +1 more source

Weighted power mean discrete dynamical systems: Fast convergence properties

open access: yesDiscrete Dynamics in Nature and Society, 2006
We studied families of discrete dynamical systems obtained by using iteration functions given by weighted power mean in order to understand the role of hyperrapid convergence in nonlinear maps.
Francisco J. Solis
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Bounds of the Neuman-Sándor Mean Using Power and Identric Means

open access: yesAbstract and Applied Analysis, 2013
In this paper we find the best possible lower power mean bounds for the Neuman-Sándor mean and present the sharp bounds for the ratio of the Neuman-Sándor and identric means.
Yu-Ming Chu, Bo-Yong Long
doaj   +1 more source

The Fragile Balance of Power and Leadership [PDF]

open access: yes, 2016
The aim of this article is to first define effective leadership and power, highlighting the differences between the two. The focal point is that power and effective leadership are not interchangeable and should not be treated as such.
Jones, Angela M, York, Sheri L
core   +1 more source

One kind sixth power mean of the three-term exponential sums

open access: yesOpen Mathematics, 2017
In this paper, we use the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean of the three-term exponential sums.
Wang Xiaoying, Li Xiaoxue
doaj   +1 more source

The Strengthened Hardy Inequalities and its New Generalizations [PDF]

open access: yes, 2001
In this article, using the properties of power mean, new generalizations of the strengthened Hardy Inequalities are ...
Dragomir, Sever S, Kim, Young-Ho
core  

On a result of Cartwright and Field

open access: yesJournal of Inequalities and Applications, 2018
Let Mn,r=(∑i=1nqixir)1r $M_{n,r}=(\sum_{i=1}^{n}q_{i}x_{i}^{r})^{\frac{1}{r}}$, r≠0 $r\neq 0$, and Mn,0=limr→0Mn,r $M_{n,0}= \lim_{r \rightarrow 0}M_{n,r}$ be the weighted power means of n non-negative numbers xi $x_{i}$, 1≤i≤n $1 \leq i \leq n$, with qi>
Peng Gao
doaj   +1 more source

On the Fourth Power Mean of the Two-Term Exponential Sums

open access: yesThe Scientific World Journal, 2014
The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.
Han Zhang, Wenpeng Zhang
doaj   +1 more source

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