{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:24Z","timestamp":1740134544830,"version":"3.37.3"},"reference-count":8,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,9,15]],"date-time":"2020-09-15T00:00:00Z","timestamp":1600128000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004071","name":"Khon Kaen University","doi-asserted-by":"publisher","award":["612JT217"],"award-info":[{"award-number":["612JT217"]}],"id":[{"id":"10.13039\/501100004071","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2020,9,15]]},"abstract":"<jats:p>In this paper, we consider a class of rational functions <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mi>r<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>s<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>z<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><\/mml:math> of degree <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>m<\/mml:mi><mml:mi>n<\/mml:mi><\/mml:math> where <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mi>s<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>z<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:math> is a polynomial of degree <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mi>m<\/mml:mi><\/mml:math> and establish some inequalities for rational functions with prescribed poles which generalize and refine the result of I. Qasim and A. Liman.<\/jats:p>","DOI":"10.1155\/2020\/4378409","type":"journal-article","created":{"date-parts":[[2020,9,15]],"date-time":"2020-09-15T23:33:19Z","timestamp":1600212799000},"page":"1-7","source":"Crossref","is-referenced-by-count":0,"title":["Inequalities for the Derivative of Rational Functions with Prescribed Poles"],"prefix":"10.1155","volume":"2020","author":[{"given":"Nuttapong","family":"Arunrat","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7550-7744","authenticated-orcid":true,"given":"Keaitsuda Maneeruk","family":"Nakprasit","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"1926","key":"1"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1090\/s0002-9904-1944-08177-9"},{"key":"3","first-page":"89","volume":"7","year":"1939","journal-title":"Compositio Mathematica"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/51.3.523"},{"issue":"52","key":"5","first-page":"29","volume":"32","year":"1997","journal-title":"Glasnik Matematicki"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.4153\/cmb-1999-049-0"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/s13226-015-0133-8"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9045(88)90006-8"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2020\/4378409.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2020\/4378409.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2020\/4378409.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,15]],"date-time":"2020-09-15T23:33:21Z","timestamp":1600212801000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ijmms\/2020\/4378409\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,15]]},"references-count":8,"alternative-id":["4378409","4378409"],"URL":"https:\/\/doi.org\/10.1155\/2020\/4378409","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2020,9,15]]}}}