The geological, tectonic settings of an area can be examined with the analysis of drainage network. In the Bükkalja, the Miocene pyroclasts – mainly the welded ignimbrites – had taken decisive part in the evolution of drainage network. For the confirmation of their role, the breakpoints of stream profiles were analysed. However this method provides information only about the direct surroundings...

Research in the field of agricultural policy often calls for an explicit representation of geographical aspects of the country or region under consideration. Furthermore, in connection with environmental issues one has to account for spatial interactions, for example in connection with water flows or erosion processes. However, this inevitably leads to the problem that all data needed for estim...

Keywords: Boundary value problems Differential-operator equations Banach-valued Besov spaces Operator-valued multipliers Interpolation of Banach spaces a b s t r a c t The boundary value problems for linear and nonlinear degenerate differential-operator equations in Banach-valued Besov spaces are studied. Several conditions for the separability of linear elliptic problems are given. Moreover, t...

Let f be analytic on the compact set E ⊂ C , of positive transfinite diameter and let Cr denote the largest equipotential curve of E such that f is analytic within Cr. Generally, the growth of an entire function is measured in terms of its order and type. Here we have established the relations between maximum modulus, maximum term and interpolation error of best uniform approximation to a funct...

Given the above model of stationary random spatial effects { ( ) : } s s R   , our ultimate objective is to apply these concepts to spatial models involving global trends, ( ) s  , i.e., to spatial stochastic models of the form, ( ) ( ) ( ) , Y s s s s R      . In continuous spatial data analysis, the most fully developed models of this type focus on spatial prediction, where values of ...

The sustainable management of groundwater resources needs quantitative information on its behaviors in space and time. With the availability of distributed models, which can handle large volume of data, the spatial information of groundwater at a grid pattern is not only useful but is necessary to get reliable results. Various methods, both simple and complicated, are available and are in use t...

This paper proposes a novel lattice method of option valuation that is especially suitable to American-style options whose values depend on multiple factors. The key to the method is multidimensional interpolation, which allows using sparse lattices and thus mitigates the curse of dimensionality. A pricing algorithm and suitable methods of interpolation are discussed in detail. Some results abo...

The classification of the grade of shrink and expansion for the expansive soils is very important work for constructions in expansive soil area. Accurate evaluation of the estate of expansive soil may provide scientific data and basis for the prevention of engineering design and construction. This paper brings forward the classification method for expansive soil based on fractal interpolation t...