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Rational curves deduced from such operators are analyzed by Discrete Fourier Transform and a CAGD modeling technique for Shepard-type curves by truncated DFT and the PIA algorithm is developed.<\/jats:p>","DOI":"10.3390\/sym12121999","type":"journal-article","created":{"date-parts":[[2020,12,4]],"date-time":"2020-12-04T11:59:00Z","timestamp":1607083140000},"page":"1999","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Rational Approximation on Exponential Meshes"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1482-4898","authenticated-orcid":false,"given":"Umberto","family":"Amato","sequence":"first","affiliation":[{"name":"Istituto di Scienze Applicate e Sistemi Intelligenti, Consiglio Nazionale delle Ricerche, 80131 Napoli, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8990-2320","authenticated-orcid":false,"given":"Biancamaria","family":"Della Vecchia","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica \u2018Guido Castelnuovo\u2019, Universit\u00e0 degli Studi \u2018La Sapienza\u2019, 00185 Roma, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,12,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1016\/0021-9045(91)90099-V","article-title":"Pointwise simultaneous approximation by rational operators","volume":"65","author":"Mastroianni","year":"1991","journal-title":"J. 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Discrete Cosine Transform: Algorithms, Advantages, Applications, Academic Press.","DOI":"10.1016\/B978-0-08-092534-9.50007-2"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/12\/1999\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:41:29Z","timestamp":1760179289000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/12\/1999"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,12,4]]},"references-count":14,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2020,12]]}},"alternative-id":["sym12121999"],"URL":"https:\/\/doi.org\/10.3390\/sym12121999","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2020,12,4]]}}}