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Approximating of functions from Holder classes H-alpha[0,1] by Haar wavelets

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dc.ConferencecodeUniv Malaysia Pahang, Fac Ind Sci & Technol, Inst Teknologi Sepuluh, Soc Ind & Appl Math, Malaysian Math Sci Soc, Malaysian Inst Stat
dc.ConferencedateAUG 08-10, 2017
dc.ConferencelocationKuantan, MALAYSIA
dc.Conferencename1st International Conference on Applied and Industrial Mathematics and Statistics (ICoAIMS)
dc.contributor.authorAhmedov, AAen_US
dc.contributor.authorSathar, MHAen_US
dc.contributor.authorRasedee, AFNen_US
dc.contributor.authorMokhtar, NFBen_US
dc.date.accessioned2024-05-29T02:49:59Z
dc.date.available2024-05-29T02:49:59Z
dc.date.issued2017
dc.description.abstractIn the present work, a new direct computational method for solving definite integrals based on Haar wavelets is introduced. The definite integral of the functions from Holder classes is replaced with the approximation of the function by Haar wavelets and the the calculation of definite integrals is reduced to the problem of solving algebraic equation formed by the Fourier coefficients in terms of Haar wavelets. Based on the properties of the Haar wavelets it is shown that the such approximations much better approximate the value of the integrals for the functions from Holder classes. The Error analysis of the approximation method are worked out in the classes of Holder to show the efficiency of the new method and connection of the module of difference with smoothness of the function is established. Finally, some numerical examples of the implementation the method for the functions from Holder classes are presented.
dc.identifier.doi10.1088/1742-6596/890/1/012073
dc.identifier.issn1742-6588
dc.identifier.scopusWOS:000423857800073
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/10974
dc.identifier.volume890
dc.languageEnglish
dc.language.isoen_USen_US
dc.publisherIOP PUBLISHING LTDen_US
dc.sourceWeb Of Science (ISI)
dc.sourcetitle1ST INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS 2017 (ICOAIMS 2017)
dc.titleApproximating of functions from Holder classes H-alpha[0,1] by Haar waveletsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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