{"title":"APPROXIMATIONS IN HOLDER'S CLASS AND SOLUTION OF BESSEL'S DIFFERENTIAL EQUATIONS BY EXTENDED HAAR WAVELET","authors":"S. Lal, Harish Chandra Yadav","doi":"10.46753/pjaa.2023.v010i01.003","DOIUrl":null,"url":null,"abstract":". In this paper, extended Haar wavelet has been introduced in the interval [0 ,λ ) , λ > 0 . It reduces to classical Haar wavelet for λ = 1 . The orthonormality of extended Haar wavelets has been discussed. The convergence analysis of an extended Haar wavelet series of a function f belonging to Hölder’s classes","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2023.v010i01.003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
. In this paper, extended Haar wavelet has been introduced in the interval [0 ,λ ) , λ > 0 . It reduces to classical Haar wavelet for λ = 1 . The orthonormality of extended Haar wavelets has been discussed. The convergence analysis of an extended Haar wavelet series of a function f belonging to Hölder’s classes
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