{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:20:11Z","timestamp":1760149211045,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,7,18]],"date-time":"2023-07-18T00:00:00Z","timestamp":1689638400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Pontificia Universidad Cat\u00f3lica del Ecuador Proyect T\u00edtulo: \u201cAlgunos resultados Cualitativos sobre Ecuaciones diferenciales fraccionales y desigualdades integrales\u201d","award":["UIO2022"],"award-info":[{"award-number":["UIO2022"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The main focus of this article is to derive some new counterparts to Simpson\u2019s and Newton\u2019s type inequalities involve a class of generalized coordinated convex mappings. This class contains several new and known classes of convexity as special cases. For further demonstration, we deploy the concept of right quantum derivatives to develop two new identities involving Raina\u2019s function. Moreover, by implementing these auxiliary results together with generalized convexity, we acquire a Holder-type inequality. We also acquire some applications of our main findings by making use of suitable substitutions in Raina\u2019s function.<\/jats:p>","DOI":"10.3390\/sym15071441","type":"journal-article","created":{"date-parts":[[2023,7,19]],"date-time":"2023-07-19T00:47:38Z","timestamp":1689727658000},"page":"1441","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Raina\u2019s Function-Based Formulations of Right-Sided Simpson\u2019s and Newton\u2019s Inequalities for Generalized Coordinated Convex Functions"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1567-0264","authenticated-orcid":false,"given":"Miguel","family":"Vivas-Cortez","sequence":"first","affiliation":[{"name":"Escuela de Ciencias F\u00edsicas y Matem\u00e1ticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Cat\u00f3lica del Ecuador, Av. 12 de Octubre 1076, Apartado, Quito 17-01-2184, Ecuador"}]},{"given":"Ghulam","family":"Murtaza","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Sciences (SSC), University of Management and Technology, Lahore 54770, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-5088-834X","authenticated-orcid":false,"given":"Ghulam Murtaza","family":"Baig","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Sciences (SSC), University of Management and Technology, Lahore 54770, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1019-9485","authenticated-orcid":false,"given":"Muhammad Uzair","family":"Awan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Government College University, Faisalabad 38000, Pakistan"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,18]]},"reference":[{"key":"ref_1","first-page":"533","article-title":"On Simpson\u2019s inequality and applications","volume":"5","author":"Dragomir","year":"2000","journal-title":"J. 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