{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T00:40:02Z","timestamp":1760229602503,"version":"build-2065373602"},"reference-count":15,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,6,22]],"date-time":"2022-06-22T00:00:00Z","timestamp":1655856000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Special Project for Capacity Improvement of Shanghai Professional Technical Service Platform","award":["19DZ2290400","20DZ2306500"],"award-info":[{"award-number":["19DZ2290400","20DZ2306500"]}]},{"name":"Shanghai Major Science Popularization Project","award":["19DZ2290400","20DZ2306500"],"award-info":[{"award-number":["19DZ2290400","20DZ2306500"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The calculus in the absence of limits is known as quantum calculus. With a difference operator, it substitutes the classical derivative, which permits dealing with sets of functions that are non-differentiations. The theory of integral inequality in quantum calculus is a field of mathematics that has been gaining considerable attention recently. Despite the fact of its application in discrete calculus, it can be applied in fractional calculus as well. In this paper, some new Anderson type q-integral and h-integral inequalities are given using a Feng Qi integral inequality in quantum calculus. These findings are highly beneficial for basic frontier theories, and the techniques offered by technology are extremely useful for those who can stimulate research interest in exploring mathematical applications. Due to the interesting properties in the field of mathematics, integral inequalities have a tied correlation with symmetric convex and convex functions. There exist strong correlations and expansive properties between the different fields of convexity and symmetric function, including probability theory, convex functions, and the geometry of convex functions on convex sets. The main advantage of these essential inequalities is that they can be converted into time-scale calculus. This kind of inevitable inequality can be very helpful in various fields where coordination plays an important role.<\/jats:p>","DOI":"10.3390\/sym14071294","type":"journal-article","created":{"date-parts":[[2022,6,22]],"date-time":"2022-06-22T23:11:19Z","timestamp":1655939479000},"page":"1294","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Some New Anderson Type h and q Integral Inequalities in Quantum Calculus"],"prefix":"10.3390","volume":"14","author":[{"given":"Munawwar Ali","family":"Abbas","sequence":"first","affiliation":[{"name":"Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management System, No. 4800, Caoan Road, Shanghai 201804, China"},{"name":"Department of Mathematics, University of Baltistan, Skardu 16100, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li","family":"Chen","sequence":"additional","affiliation":[{"name":"Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management System, No. 4800, Caoan Road, Shanghai 201804, China"},{"name":"Shanghai Automative Wind Tunnel Center, Tongi University, No. 4800, Caoan Road, Shanghai 201804, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Asif R.","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Karachi, University Road, Karachi 75270, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ghulam","family":"Muhammad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Baltistan, Skardu 16100, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Sun","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Tongi University, Shanghai 201804, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sadaqat","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Baltistan, Skardu 16100, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Javed","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Baltistan, Skardu 16100, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adeeb Ur","family":"Rasool","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Karachi, University Road, Karachi 75270, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,22]]},"reference":[{"key":"ref_1","first-page":"193","article-title":"On a q-definite integrals","volume":"41","author":"Jackson","year":"1910","journal-title":"Q. J. Pure Appl. Math."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Kac, V.G., and Cheung, P. (2002). Quantum Calculus, Springer.","DOI":"10.1007\/978-1-4613-0071-7"},{"key":"ref_3","first-page":"54","article-title":"On an open problem of F. Qi","volume":"3","year":"2002","journal-title":"J. Inequal. Pure Appl. Math."},{"key":"ref_4","first-page":"43","article-title":"On Some Feng Qi Tpe q-Integral Inequalities","volume":"9","author":"Brahim","year":"2008","journal-title":"J. Inequal. Pure Appl. Anal."},{"key":"ref_5","first-page":"77","article-title":"Notes on Qi type inequalities","volume":"4","author":"Bougoffa","year":"2003","journal-title":"J. Inequal. Pure Appl. Math."},{"key":"ref_6","first-page":"516","article-title":"On Some Feng Qi Type h-Integral Inequalities","volume":"2","author":"Krasniqi","year":"2009","journal-title":"Int. J. Open Probl. Compt. Math."},{"key":"ref_7","first-page":"31","article-title":"On an open problem regarding an integral inequality","volume":"4","author":"Mazouzi","year":"2003","journal-title":"J. Inequal. Pure Appl. Math."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1186\/s13660-016-1170-5","article-title":"Generalized integral inequalities on time scales","volume":"2016","author":"Fayyaz","year":"2016","journal-title":"J. Inequal. Appl."},{"key":"ref_9","unstructured":"Gasper, G., and Rehman, M. (2004). Encyclopedia of Mathematics and Its Applications, Cambridge University Press. [2nd ed.]."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1006\/jmaa.2000.7006","article-title":"Some Hardy-type inequalities","volume":"250","author":"Cheung","year":"2000","journal-title":"J. Math. Anal. Applics."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Gerstenhaber, M., and Stasheff, J. (1992). q-Special Functions, a Tutorial. Deformation Theory and Quantum Groups with Applications to Mathematical Physics, Contemporary Mathematics.","DOI":"10.1090\/conm\/134"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Ernst, T. (2012). A Comprehensive Treatment of q-Calculus, Springer.","DOI":"10.1007\/978-3-0348-0431-8"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/1687-1847-2013-282","article-title":"Quantum calculus on finite intervals and applications to impulsive difference equations","volume":"2013","author":"Tariboon","year":"2013","journal-title":"Adv. Differ. Equ."},{"key":"ref_14","first-page":"25","article-title":"An inequality for convex functions","volume":"6","author":"Andersson","year":"1958","journal-title":"Nordisk Mat. Tidskr."},{"key":"ref_15","first-page":"19","article-title":"Several integral inequalities","volume":"1","author":"Qi","year":"2002","journal-title":"J. Inequal. Pure Appl. Math."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/7\/1294\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:37:18Z","timestamp":1760139438000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/7\/1294"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,22]]},"references-count":15,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2022,7]]}},"alternative-id":["sym14071294"],"URL":"https:\/\/doi.org\/10.3390\/sym14071294","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2022,6,22]]}}}