The aim of this article is to introduce a generalization of the interpolation remainder in multivariate interpolation and to study it, in least interpolation schemes and in minimal interpolation ones. This generalization, we named λ-remainder, allows us a deeper analysis of the error in the interpolation process. Connected to the λ remainder, we introduced the notion of λ error order of interpo...

the date of receipt and acceptance should be inserted later] Summary. In this paper we combine an earlier method developed with K. Jetter on general cardinal interpolation with constructions of compactly supported solutions for cardinal interpolation to gain compactly supported fundamental solutions for the general interpolation problem. The general interpolation problem admits the interpolatio...

properties of the hybrid of block-pulse functions and lagrange polynomials based on the legendre-gauss-type points are investigated and utilized to define the composite interpolation operator as an extension of the well-known legendre interpolation operator. the uniqueness and interpolating properties are discussed and the corresponding differentiation matrix is also introduced. the appli...

due to substantial effect of classification of resource models on future mine planning, one should come with an accurate method of estimation to guarantee that the minimum error is acquired in the estimation process. the known world class cu-mo deposit, sarcheshmeh porphyry deposit (central iran) selected as the study area. the hypogene zone of the deposit was chosen as the space in which estim...

due to substantial effect of classification of resource models on future mine planning, one should come with an accurate method of estimation to guarantee that the minimum error is acquired in the estimation process. the known world class cu-mo deposit, sarcheshmeh porphyry deposit (central iran) selected as the study area. the hypogene zone of the deposit was chosen as the space in which estim...

Interpolation is an essential step in the visualization process. While most data from simulations or experiments are discrete many visualization methods are based on smooth, continuous data approximation or interpolation methods. We introduce a new interpolation method for symmetrical tensor fields given on a triangulated domain. Differently from standard tensor field interpolation, which is ba...

iron is an essential nutrients in rice. accurate assessment of this element in paddy soils is very important. improving fertility management, accurate interpolation, being aware of spatial variability and patterns of distribution of micronutrients are the most important factors in soil management and accurate consumption of fertilizers. this study was done for investigating of available iron, d...