ACM Computing Classification System (1998): G.1.2.
Moduli for numerical finding of the polynomial of the best Hausdorff approximation of the functions which differs from zero at just one point or having one jump and partially constant in programming environment MATHEMATICA are proposed. They are tested for practically important functions and the results are graphically illustrated. These moduli can be used for scientific research as well in teaching process of Approximation theory and...
This work has been partially supported by Grant No. DO 02-275, 16.12.2008, Bulgarian
NSF, Ministry of Education and Science.
Hausdorff distance (HD) seems the most efficient instrument
for measuring how far two compact non-empty subsets of a metric space are
from each other. This paper considers the possibilities provided by HD and
some of its modifications used recently by many authors for resemblance
between binary text images. Summarizing part of the existing word image
matching methods,...
This article presents an idea in the finite element methods (FEMs) for obtaining two-sided bounds of exact eigenvalues. This approach is based on the combination of nonconforming methods giving lower bounds of the eigenvalues and a postprocessing technique using conforming finite elements. Our results hold for the second and fourth-order problems defined on two-dimensional domains. First, we list analytic and experimental results concerning triangular and rectangular nonconforming elements which...
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