{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:11:29Z","timestamp":1753888289042,"version":"3.41.2"},"reference-count":15,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2023,10,11]],"date-time":"2023-10-11T00:00:00Z","timestamp":1696982400000},"content-version":"vor","delay-in-days":283,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004539","name":"Kasetsart University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004539","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2023,1]]},"abstract":"<jats:p>In this paper, we establish some inequalities involving the modulus of the derivative of rational functions with prescribed poles and restricted zeros. The obtained results generalize some known inequalities for rational functions. Moreover, our results also contain certain known polynomial inequalities.<\/jats:p>","DOI":"10.1155\/2023\/5541585","type":"journal-article","created":{"date-parts":[[2023,10,11]],"date-time":"2023-10-11T23:35:22Z","timestamp":1697067322000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Some Inequalities Involving the Derivative of Rational Functions"],"prefix":"10.1155","volume":"2023","author":[{"given":"Arnisa","family":"Rasri","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9651-7631","authenticated-orcid":false,"given":"Jiraphorn Somsuwan","family":"Phanwan","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2023,10,11]]},"reference":[{"volume-title":"Lecons sur les proprietes extremales et la meilleure approximation des functions analytique d\u2019une variable reelle","year":"1926","author":"Bernstein S.","key":"e_1_2_7_1_2"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1944-08177-9"},{"key":"e_1_2_7_3_2","first-page":"89","article-title":"Uber die Ableitung von Polynomen","volume":"7","author":"Turan P.","year":"1939","journal-title":"Compositio Mathematica"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9045(88)90006-8"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1973-0325932-8"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9045(91)90052-C"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-1.1.57"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/51.3.523"},{"key":"e_1_2_7_9_2","first-page":"43","article-title":"Application of the Schwarz lemma to inequalities for rational functions with prescribed poles","volume":"25","author":"Wali S. 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