Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric
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DOI: 10.1007/s10958-020-04725-0
Abstract: Some approximative characteristics of classes of periodic functions of many variables L β , p ψ , $$ {L}_{\beta, p}^{\psi }, $$ 1 < p < 1 , in a uniform metric are investigated. The… read more here.
Keywords: periodic functions; classes periodic; uniform metric; many variables ... See more keywords
Entropy Numbers and Widths for the Classes Bp,θr$$ {B}_{p,\theta}^r $$ of Periodic Functions of Many Variables
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DOI: 10.1007/s11253-017-1315-9
Abstract: We establish the exact-order estimates for the entropy numbers of the Nikol’skii–Besov classes of periodic functions of two variables in the space L∞ and use the obtained results to estimate the lower bounds for the… read more here.
Keywords: entropy numbers; classes theta; periodic functions; many variables ... See more keywords
PRIME SOLUTIONS TO POLYNOMIAL EQUATIONS IN MANY VARIABLES AND DIFFERING DEGREES
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DOI: 10.1017/fms.2018.21
Abstract: Let $\mathbf{f}=(f_{1},\ldots ,f_{R})$ be a system of polynomials with integer coefficients in which the degrees need not all be the same. We provide sufficient conditions for which the system of equations $f_{j}(x_{1},\ldots ,x_{n})=0~(1\leqslant j\leqslant R)$… read more here.
Keywords: polynomial equations; many variables; prime solutions; variables differing ... See more keywords
Fiber Surfaces for many Variables
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DOI: 10.1111/cgf.13983
Abstract: Scientific visualization deals with increasingly complex data consisting of multiple fields. Typical disciplines generating multivariate data are fluid dynamics, structural mechanics, geology, bioengineering, and climate research. Quite often, scientists are interested in the relation between… read more here.
Keywords: technique; many variables; geology; fiber surfaces ... See more keywords