{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:39:36Z","timestamp":1760240376686,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T00:00:00Z","timestamp":1558569600000},"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>The purpose of this paper is to prove certain refinements of Ostrowski\u2019s inequality in an inner product space. We study extensions of Ostrowski type inequalities in a 2-inner product space. Finally, some applications which are related to the Chebyshev function and the Gr\u00fcss inequality are presented.<\/jats:p>","DOI":"10.3390\/sym11050707","type":"journal-article","created":{"date-parts":[[2019,5,24]],"date-time":"2019-05-24T02:22:00Z","timestamp":1558664520000},"page":"707","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Some Refinements of Ostrowski\u2019s Inequality and an Extension to a 2-Inner Product Space"],"prefix":"10.3390","volume":"11","author":[{"given":"Nicu\u015for","family":"Minculete","sequence":"first","affiliation":[{"name":"Faculty of Mathematics and Computer Science, Transilvania University of Bra\u015fov, Iuliu Maniu Street, No. 50, 500091 Bra\u015fov, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,5,23]]},"reference":[{"key":"ref_1","unstructured":"Cauchy, A.-L. (1821). 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