# Hausdorff Approximation of Functions Different from Zero at One Point - Implementation in Programming Environment Mathematica

Kyurkchiev, Nikolay; Andreev, Andrey

Serdica Journal of Computing (2013)

- Volume: 7, Issue: 2, page 135-152
- ISSN: 1312-6555

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topKyurkchiev, Nikolay, and Andreev, Andrey. "Hausdorff Approximation of Functions Different from Zero at One Point - Implementation in Programming Environment Mathematica." Serdica Journal of Computing 7.2 (2013): 135-152. <http://eudml.org/doc/268665>.

@article{Kyurkchiev2013,

abstract = {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 its application.},

author = {Kyurkchiev, Nikolay, Andreev, Andrey},

journal = {Serdica Journal of Computing},

keywords = {Hausdorff Distance; Best Approximation; Hausdorff distance; best approximation; synthesis of optimum aerial grids},

language = {eng},

number = {2},

pages = {135-152},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Hausdorff Approximation of Functions Different from Zero at One Point - Implementation in Programming Environment Mathematica},

url = {http://eudml.org/doc/268665},

volume = {7},

year = {2013},

}

TY - JOUR

AU - Kyurkchiev, Nikolay

AU - Andreev, Andrey

TI - Hausdorff Approximation of Functions Different from Zero at One Point - Implementation in Programming Environment Mathematica

JO - Serdica Journal of Computing

PY - 2013

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 7

IS - 2

SP - 135

EP - 152

AB - 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 its application.

LA - eng

KW - Hausdorff Distance; Best Approximation; Hausdorff distance; best approximation; synthesis of optimum aerial grids

UR - http://eudml.org/doc/268665

ER -