Our aim is to give a version of the Moser-Trudinger inequality in setting complex geometry. As very particular case, our result already gives new for functions Sobolev space $W^{1,2}$ domain $R^2$. We also deduce necessary condition Monge-Ampere equation given measure on compact Kahler manifold admit Holder continuous solution.

The a posteriori error evaluation based on differential approximation of a finitedifference scheme and adjoint equations is addressed. The differential approximation is composed of primal equations and a local truncation error determined by a Taylor series in Lagrange form. This approach provides the feasibility of both refining the solution and using the Holder inequality for asymptotic boundi...

In this paper, the generalized variational inequality with multi-valued mapping (GVI) is considered. To solve the problem, we first establish a global error bound estimation for GVI with the underlying multi-valued mapping being   strict monotone and Holder continuous. Based on this, we propose a new type of method to solve the GVI, and its global convergence is also established. Keywords-GVI...

Differential forms are interesting and important generalizations of real functions and distributions. Many interesting results and applications of differential forms have recently been found in some fields. As an important tool the Hardy-Littlewood inequality have been playing critical roles in many mathematics, including potential analysis, partial differential equations and the theory of elas...

The paper briefly reviews the concept of the variogram and the estimation error variance in connection with certain estimation problems. This is done in the context of their development in mineralogy. The results are then placed in the context of the assessment of flowing product streams that are continuous space, continuous time stochastic processes. The work in this area, to date, is then bri...

in this paper, a novel technique on friction aided deep drawing using tapered blank holder divided into eight segments is proposed to overcome defect of friction aided deep drawing using four segments tapered blank holder technique. a taper blank holder is designed to be of two parts: stationary part with 5 degree taper angle and moving parts divided into eight tapered segments. the main functi...

By considering the effect on company business from the random premium and inflations, and taking the surplus capital as investment to enhance the company payment’s capacity for the policy-holder, we proposed a compound negative binomial risk model for the inhomogeneous double type-insurance. For the proposed model, some basic properties of the surplus process were analyzed to obtain its station...

suggests are either slight or problematical themselves. But given that the profession still refuses to listen, the long, sad story of the scholarly tradition in English metrics cannot be told too often. Both experienced prosodists and those who are only occasional visitors to this field will find RM a useful and enjoyable guide to what Holder calls ’the muddled kingdom of meter’ (Chapter 1), ’t...