Results 51 to 60 of about 161,418 (126)

Lagrangian Reduction, the Euler--Poincar\'{e} Equations, and Semidirect Products [PDF]

, 1997
There is a well developed and useful theory of Hamiltonian reduction for semidirect products, which applies to examples such as the heavy top, compressible fluids and MHD, which are governed by Lie-Poisson type equations.
Cendra, H., Holm, D. D., Marsden, J. E., Ratiu, T. S.   +3 more
core   +5 more sources

Fractional Ostrowski Type Inequalities via $\phi-\lambda-$Convex Function [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we aim to  state well-known Ostrowski inequality via fractional Montgomery identity for the class of $\phi-\lambda-$ convex functions. This generalized class of convex function contains other well-known convex functions from literature ...
Ali Hassan, Asif Khan
doaj   +1 more source

Refined Hardy-Type Inequalities Involving New Green Functions and Montgomery Identity

Discrete Dynamics in Nature and Society
Some Hardy-type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales.
Ammara Nosheen, Meher Ali, Demco K. Mukongo, Y. S. Hamed   +3 more
doaj   +1 more source

A Parameter-Based Ostrowski–Grüss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales

Mathematics, 2018
In this paper, we present some Ostrowski⁻Grüss-type inequalities on time scales for functions whose derivatives are bounded by functions for k points via a parameter. The 2D versions of these inequalities are also presented.
Seth Kermausuor, Eze R. Nwaeze
doaj   +1 more source

New time scale generalizations of the Ostrowski-Grüss type inequality for k points

Journal of Inequalities and Applications, 2017
Two Ostrowski-Grüss type inequalities for k points with a parameter λ ∈ [ 0 , 1 ] $\lambda\in[0, 1]$ are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points.
Eze R Nwaeze, Seth Kermausuor, Ana M Tameru   +2 more
doaj   +1 more source

Gauged Lie-Poisson structures [PDF]

, 1984
A global formula for Poisson brackets on reduced cotangent bundles of principal bundles is derived. The result bears on the basic constructions for interacting systems due to Sternberg and Weinstein and on Poisson brackets involving semi-direct products
Marsden, Jerrold, Montgomery, Richard, Ratiu, Tudor   +2 more
core  

On the sectional curvature along central configurations

, 2019
In this paper we characterize planar central configurations in terms of a sectional curvature value of the Jacobi-Maupertuis metric. This characterization works for the $N$-body problem with general masses and any $1/r^{\alpha}$ potential with $\alpha> 0$
Jackman, Connor, Meléndez, Josué
core   +1 more source

Saari's homographic conjecture for planar equal-mass three-body problem in Newton gravity

, 2012
Saari's homographic conjecture in N-body problem under the Newton gravity is the following; configurational measure \mu=\sqrt{I}U, which is the product of square root of the moment of inertia I=(\sum m_k)^{-1}\sum m_i m_j r_{ij}^2 and the potential ...
Fujiwara T, Hiroshi Fukuda, Hiroshi Ozaki, Hsiang W Y, Hsiang W Y Straume E, Kuwabara K H, Moeckel R, Moeckel R Montgomery R, Saari D, Saari D, See Saari D, Tanikawa K Kuwabara K Orlov V V Rubinov A V, Tetsuya Taniguchi, Toshiaki Fujiwara   +13 more
core   +1 more source

New generalization fractional inequalities of Ostrowski-Gr\"uss type

, 2012
In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type.
Sarikaya, Mehmet Zeki, Yaldiz, Hatice
core   +1 more source

A study of new quantum Montgomery identities and general Ostrowski like inequalities

Ain Shams Engineering Journal
The main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes qϖ3 and qϖ4 differentiable functions to establish two new Montgomery identities, which ...
Muhammad Uzair Awan, Muhammad Zakria Javed, Huseyin Budak, Y.S. Hamed, Jong-Suk Ro   +4 more
doaj   +1 more source