Interpolation integral continued fraction with twofold node

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dc.citation.epage13
dc.citation.issue1
dc.citation.spage1
dc.contributor.affiliationНаціональний університет “Львівська політехніка”
dc.contributor.affiliationПрикарпатський національний університет імені Василя Стефаника
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.affiliationVasyl Stefanyk Precarpathian National University
dc.contributor.authorДемків, І.
dc.contributor.authorІвасюк, І.
dc.contributor.authorКопач, М.
dc.contributor.authorDemkiv, I.
dc.contributor.authorIvasiuk, I.
dc.contributor.authorKopach, M.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2020-02-27T09:45:14Z
dc.date.available2020-02-27T09:45:14Z
dc.date.created2019-02-26
dc.date.issued2019-02-26
dc.description.abstractДля функціонала, заданого на континуальній множині вузлів на підставі раніше побудованого інтерполяційного інтегрального ланцюгового дробу типу Ньютона, побудовано та досліджено інтерполянт з k-им двократним вузлом. Доведено, що побудований інтегральний ланцюговий дріб буде інтерполянтом типу Ерміта.
dc.description.abstractFor a functional given on a continual set of nodes on the basis of the previously constructed interpolation integral continued fraction of the Newton type, an interpolant with a k-th twofold node has been constructed and investigated. It is proved that the constructed integral continued fraction is an interpolant of the Hermitian type.
dc.format.extent1-13
dc.format.pages13
dc.identifier.citationDemkiv I. Interpolation integral continued fraction with twofold node / I. Demkiv, I. Ivasiuk, M. Kopach // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 6. — No 1. — P. 1–13.
dc.identifier.citationenDemkiv I. Interpolation integral continued fraction with twofold node / I. Demkiv, I. Ivasiuk, M. Kopach // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 6. — No 1. — P. 1–13.
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/46142
dc.language.isoen
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 1 (6), 2019
dc.relation.references1. Mykhal’chukB.R. Interpolation of nonlinear functionals by integral continued fractions. Ukr. Math. J. 51 (3), 406–418 (1999).
dc.relation.references2. MakarovV. L., KhlobystovV.V., Mykhal’chukB.R. Interpolational Integral Continued Fractions. Ukr. Math. J. 55 (4), 576–587 (2003).
dc.relation.references3. MakarovV. L., Demkiv I. I., Mykhal’chukB.R. Necessary and sufficient conditions of interpolation functional polynomial existence on continual sets of knots. Dopov. Nac. akad. nauk Ukr. 7, 7 (2003).
dc.relation.references4. MakarovV. L., Demkiv I. I. New class of Interpolation integral continued fractions. Dopov. Nac. akad. nauk Ukr. 11, 17 (2008).
dc.relation.references5. MakarovV. L., Demkiv I. I. Relation between interpolating integral continued fractions and interpolating branched continued fractions. J. Math. Sci. 165 (2), 171–180 (2010).
dc.relation.references6. MakarovV. L., KhlobystovV.V., Demkiv I. I. Hermitian functional polynomials in space Q[0, 1]. Dopov. Nac. akad. nauk Ukr. 8, 27 (2007).
dc.relation.referencesen1. Mykhal’chukB.R. Interpolation of nonlinear functionals by integral continued fractions. Ukr. Math. J. 51 (3), 406–418 (1999).
dc.relation.referencesen2. MakarovV. L., KhlobystovV.V., Mykhal’chukB.R. Interpolational Integral Continued Fractions. Ukr. Math. J. 55 (4), 576–587 (2003).
dc.relation.referencesen3. MakarovV. L., Demkiv I. I., Mykhal’chukB.R. Necessary and sufficient conditions of interpolation functional polynomial existence on continual sets of knots. Dopov. Nac. akad. nauk Ukr. 7, 7 (2003).
dc.relation.referencesen4. MakarovV. L., Demkiv I. I. New class of Interpolation integral continued fractions. Dopov. Nac. akad. nauk Ukr. 11, 17 (2008).
dc.relation.referencesen5. MakarovV. L., Demkiv I. I. Relation between interpolating integral continued fractions and interpolating branched continued fractions. J. Math. Sci. 165 (2), 171–180 (2010).
dc.relation.referencesen6. MakarovV. L., KhlobystovV.V., Demkiv I. I. Hermitian functional polynomials in space Q[0, 1]. Dopov. Nac. akad. nauk Ukr. 8, 27 (2007).
dc.rights.holderCMM IAPMM NAS
dc.rights.holder© 2019 Lviv Polytechnic National University
dc.subjectнеперервний інтерполяційний дріб Ньютона
dc.subjectдвократний вузол неперервного дробу
dc.subjectЕрмітовий інтерполянт
dc.subjectNewton type interpolation continued fraction
dc.subjecttwofold node of continued fraction
dc.subjectHermitian type interpolant
dc.subject.udc519.65
dc.titleInterpolation integral continued fraction with twofold node
dc.title.alternativeІнтерполяційний інтегральний ланцюговий дріб з двократним вузлом
dc.typeArticle

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