{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:12:08Z","timestamp":1753884728577,"version":"3.41.2"},"reference-count":15,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"DOI":"10.13039\/501100006144","name":"Kerala State Council for Science, Technology and Environment","doi-asserted-by":"publisher","award":["KSCSTE\/972\/2018-FSHP-MAIN"],"award-info":[{"award-number":["KSCSTE\/972\/2018-FSHP-MAIN"]}],"id":[{"id":"10.13039\/501100006144","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2023,5]]},"abstract":"<jats:p> Refinable functions play an important role in the construction and properties of wavelets. Basically, most of the wavelets are generated from refinable functions. In this paper, a study on the approximation properties of refinable functions on [Formula: see text]-adic fields is carried out with necessary theoretical background. Various equivalent forms of approximation order and the connection between the approximation order and the Strang\u2013Fix condition are derived. Finally a characterization for the approximation order of a refinable function is given in terms of order of the sum rules associated with the refinement mask. <\/jats:p>","DOI":"10.1142\/s0219691322500576","type":"journal-article","created":{"date-parts":[[2022,11,16]],"date-time":"2022-11-16T15:58:42Z","timestamp":1668614322000},"source":"Crossref","is-referenced-by-count":1,"title":["Approximation properties of wavelets on p-adic fields"],"prefix":"10.1142","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3890-0050","authenticated-orcid":false,"given":"N.","family":"Athira","sequence":"first","affiliation":[{"name":"Department of Mathematics, National Institute of Technology Calicut, NIT Campus P O \u2013 673 601, India"}]},{"given":"M. C.","family":"Lineesh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology Calicut, NIT Campus P O \u2013 673 601, India"}]}],"member":"219","published-online":{"date-parts":[[2022,12,3]]},"reference":[{"issue":"5","key":"S0219691322500576BIB002","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1007\/s00041-009-9118-5","volume":"16","author":"Albeverio S.","year":"2010","journal-title":"J. Fourier Anal. Appl."},{"issue":"1","key":"S0219691322500576BIB003","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/BF01890564","volume":"3","author":"De Boor C.","year":"1987","journal-title":"Constr. Approx."},{"issue":"1","key":"S0219691322500576BIB004","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/s002110050185","volume":"73","author":"Heil C.","year":"1996","journal-title":"Numer. Math."},{"issue":"1","key":"S0219691322500576BIB005","first-page":"223","volume":"23","author":"Jia R. 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