{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:46:28Z","timestamp":1760244388179,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2022,12,14]],"date-time":"2022-12-14T00:00:00Z","timestamp":1670976000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"PDI-PFE-CDI-2021 program"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>We introduce in this paper a new family of uniformly convex functions related to the Deniz\u2013\u00d6zkan differential operator. By using this family of functions with a negative coefficient, we obtain coefficient estimates, the radius of starlikeness, convexity, and close-to-convexity, and we find their extreme points. Moreover, the neighborhood, partial sums, and integral means of functions for this new family are studied.<\/jats:p>","DOI":"10.3390\/axioms11120731","type":"journal-article","created":{"date-parts":[[2022,12,15]],"date-time":"2022-12-15T03:01:51Z","timestamp":1671073311000},"page":"731","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Subclasses of Uniformly Convex Functions with Negative Coefficients Based on Deniz\u2013\u00d6zkan Differential Operator"],"prefix":"10.3390","volume":"11","author":[{"given":"Erhan","family":"Deniz","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Letters, Kafkas University, 36000 Kars, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Y\u00fccel","family":"\u00d6zkan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Letters, Kafkas University, 36000 Kars, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0269-0688","authenticated-orcid":false,"given":"Lumini\u0163a-Ioana","family":"Cot\u00eerl\u0103","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Technical University of Cluj-Napoca, 400020 Cluj-Napoca, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"17","DOI":"10.5556\/j.tkjm.28.1997.4330","article-title":"On subclasses of uniformly convex functions and corresponding class of starlike functions","volume":"28","author":"Bharati","year":"1997","journal-title":"Tamkang J. 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