Chebyshev approximation of the steel magnetization characteristic by the sum of a linear expression and an arctangent function

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dc.citation.epage84
dc.citation.issue1
dc.citation.spage77
dc.contributor.affiliationЦентр математичного моделювання ІППММ ім. Я. С. Підстригача НАН України
dc.contributor.affiliationУкраїнська академія друкарства
dc.contributor.affiliationНаціональний університет “Львівська політехніка”
dc.contributor.affiliationCentre of Mathematical Modelling of Ukrainian National Academy of Sciences
dc.contributor.affiliationUkrainian Academy of Printing
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorМалачівський, П.
dc.contributor.authorПізюр, Я.
dc.contributor.authorMalachivskyy, P.
dc.contributor.authorPizyur, Ya.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2020-02-27T09:45:24Z
dc.date.available2020-02-27T09:45:24Z
dc.date.created2019-02-26
dc.date.issued2019-02-26
dc.description.abstractДосліджено властивості чебишовського наближення сумою лінійного виразу й функції арктангенсу. Встановлено умову, за якої чебишовське наближення сумою лінійного виразу й функції арктангенсу з найменшою абсолютною похибкою і відтворенням значення функції у крайній лівій точці існує і єдине. Запропоновано й обґрунтовано метод визначення параметрів такого наближення. Подано результати чебишовської апроксимації характеристики намагнічування електротехнічної сталі сумою лінійного виразу й функції арктангенсу.
dc.description.abstractThe properties of a Chebyshev approximation by the sum of a linear expression and an arctangent function have been investigated. The condition has been established under which a Chebyshev approximation by this expression with the smallest absolute error and with the reproduction of the function value at the leftmost point exists and is unique. A method of determining the parameters of this approximation has been suggested and substantiated. The results of a Chebyshev approximation of the magnetization characteristic of electrotechnical steel by the sum of a linear expression and an arctangent function have been presented.
dc.format.extent77-84
dc.format.pages8
dc.identifier.citationMalachivskyy P. Chebyshev approximation of the steel magnetization characteristic by the sum of a linear expression and an arctangent function / P. Malachivskyy, Ya. Pizyur // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 6. — No 1. — P. 77–84.
dc.identifier.citationenMalachivskyy P. Chebyshev approximation of the steel magnetization characteristic by the sum of a linear expression and an arctangent function / P. Malachivskyy, Ya. Pizyur // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 6. — No 1. — P. 77–84.
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/46159
dc.language.isoen
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 1 (6), 2019
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dc.relation.referencesen3. KadomskayaK.P., LaptevO. I. Antirezonansnyie transformatory napryazheniya. Effektivnost primeneniya. Novosti elektrotehniki. 6 (42), 2–5 (2006), (in Russian).
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dc.relation.referencesen5. Pan’kivV. I., TankevychE.M., LutchynM.M. Approximation of magnetization curve of current transformers. Pratsi Instytutu elektrodynamiky Natsionalnoi akademii nauk Ukrainy. 37, 82–90 (2014), (in Ukranian).
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dc.relation.referencesen7. PopovB.A., TeslerG. S. Priblizhenie funktsiy dlya tehnicheskih prilozheniy. Nauk. dumka, Kiev (1989), (in Russian).
dc.relation.referencesen8. MalachivskiiP. S., SkopetskiiV.V. Continuous and Smooth Minimax Spline Approximation. Nauk. dumka, Kiev (2013), (in Ukranian).
dc.relation.referencesen9. PopovB.A., MalachivskiiP. S. Nailuchshie chebyishevskie ppiblizheniya summoy mnogochlena i nelineynyh funktsiy. Prepr. PhMI AN USSR. 85, 79 (1984), (in Russian).
dc.relation.referencesen10. MalachivskiiP. S. Chebyshev approximation by the sum of a polynomial and a function with one nonlinear parameter. Fiz.-Mat. Model. Inform. Tekhnol. 1, 134–145 (2005), (in Ukranian).
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dc.relation.referencesen12. KornG.A. and KornT.M. Mathematical Handbook for Scientists and Engineers. McGraw-Hill Book Company (1968).
dc.relation.referencesen13. MolotilovB.V., Mironov L.V., PetrenkoA.H. Kholodnokatanyye elektrotekhnicheskiye stali: Sprav. izd. Metallurgiya, Moscow (1989), (in Russian).
dc.relation.referencesen14. MalachivskiiP. S., MoncibovychB.R. Algoritmy i programmnoye obespecheniye dlya ravnomernoy approksimatsii eksperimentalnykh dannykh. Electronic Modeling. 33 (5), 97–106 (2011), (in Russian).
dc.rights.holderCMM IAPMM NAS
dc.rights.holder© 2019 Lviv Polytechnic National University
dc.subjectчебишовське (рівномірне) наближення з умовою
dc.subjectточки чебишовського альтернансу
dc.subjectхарактеристика намагнічування сталі
dc.subjectChebyshev (uniform) approximation with condition
dc.subjectChebyshev аlternance рoints
dc.subjectmagnetization characteristic of steel
dc.subject.udc519.65
dc.titleChebyshev approximation of the steel magnetization characteristic by the sum of a linear expression and an arctangent function
dc.title.alternativeЧебишовське наближення характеристики намагнічування сталі сумою лінійного виразу й функції арктангенсу
dc.typeArticle

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Mathematical Modeling And Computing. – 2019. – Vol. 6, No. 1