{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T19:52:56Z","timestamp":1775677976998,"version":"3.50.1"},"reference-count":18,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2019,6,6]],"date-time":"2019-06-06T00:00:00Z","timestamp":1559779200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In the present paper, we aim to prove a new lemma and quantum Simpson\u2019s type inequalities for functions of two variables having convexity on co-ordinates over [ \u03b1 , \u03b2 ] \u00d7 [ \u03c8 , \u03d5 ] . Moreover, our deduction introduce new direction as well as validate the previous results.<\/jats:p>","DOI":"10.3390\/sym11060768","type":"journal-article","created":{"date-parts":[[2019,6,7]],"date-time":"2019-06-07T03:56:31Z","timestamp":1559879791000},"page":"768","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":48,"title":["Simpson\u2019s Type Inequalities for Co-Ordinated Convex Functions on Quantum Calculus"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5835-3349","authenticated-orcid":false,"given":"Humaira","family":"Kalsoom","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China"}]},{"given":"Jun-De","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China"}]},{"given":"Sabir","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Engineering and Technology, Lahore 54890, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2349-3445","authenticated-orcid":false,"given":"Muhammad Amer","family":"Latif","sequence":"additional","affiliation":[{"name":"Department of Basic Sciences, Deanship of Preparatory Year Program, University of Hail, Hail 2440, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2019,6,6]]},"reference":[{"key":"ref_1","first-page":"193","article-title":"On a q\u2013definite integrals","volume":"4","author":"Jackson","year":"1910","journal-title":"Q. 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