New Weighted Inequalities for Functions Whose Higher-Order Partial Derivatives Are Co-Ordinated Convex
Abstract
Keywords
References
- [1] S.S. Dragomir, On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese J. Math., 5(4) (2001), 775-788. $ \href{http://dx.doi.org/10.11650/twjm/1500574995}{[\mbox{CrossRef}]} $
- [2] F. Chen, On Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville fractional integrals, J. Appl. Math., 2014 (2014), Article ID 248710:1-8. $ \href{https://doi.org/10.1155/2014/248710}{[\mbox{CrossRef}]} \href{https://www.scopus.com/record/display.uri?eid=2-s2.0-84901778648&origin=resultslist&sort=plf-f&src=s&sid=bcbe6436c0ddc6c0ea845c8c54a2e78b&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22On+Hermite-Hadamard+type+inequalities+for+s-convex+functions+on+the+coordinates+via+Riemann-Liouville+fractional+integrals%22%29&sl=81&sessionSearchId=bcbe6436c0ddc6c0ea845c8c54a2e78b&relpos=0}{[\mbox{Scopus}]} \href{https://www.webofscience.com/wos/woscc/full-record/WOS:000336289900001}{[\mbox{Web of Science}]} $
- [3] M.Z. Sarıkaya, On the Hermite-Hadamard-type inequalities for co-ordinated convex function via fractional integrals, Integral Transforms Spec. Funct., 25(2) (2014), 134-147. $ \href{https://doi.org/10.1080/10652469.2013.824436}{[\mbox{CrossRef}]} \href{https://www.scopus.com/record/display.uri?eid=2-s2.0-84890430251&origin=resultslist&sort=plf-f&src=s&sid=f4c3eebe11d050ef6a99c3daef5b4602&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22On+the+Hermite-Hadamard-type+inequalities+for+co-ordinated+convex+function+via+fractional+integrals%22%29&sl=81&sessionSearchId=f4c3eebe11d050ef6a99c3daef5b4602&relpos=0}{[\mbox{Scopus}]} \href{https://www.webofscience.com/wos/woscc/full-record/WOS:000328110600005}{[\mbox{Web of Science}]} $
- [4] M.A. Latif and S.S. Dragomir, On some new inequalities for differentiable co-ordinated convex functions, J. Inequal. Appl., 2012 (2012), 28. $ \href{https://doi.org/10.1186/1029-242X-2012-28}{[\mbox{CrossRef}]} \href{https://www.scopus.com/record/display.uri?eid=2-s2.0-84870407675&origin=resultslist&sort=plf-f&src=s&sid=f4c3eebe11d050ef6a99c3daef5b4602&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22On+some+new+inequalities+for+differentiable%22%29&sl=81&sessionSearchId=f4c3eebe11d050ef6a99c3daef5b4602&relpos=0}{[\mbox{Scopus}]} \href{https://www.webofscience.com/wos/woscc/full-record/WOS:000303883200001}{[\mbox{Web of Science}]} $
- [5] S. Erden and M.Z. Sarıkaya, On the Hermite-Hadamard-type and Ostrowski type inequalities for the co-ordinated convex functions, Palestine J. Math., 6(1) (2017), 257-270. $\href{https://pjm.ppu.edu/paper/321}{[\mbox{Web}]} $
- [6] S. Erden and M.Z. Sarıkaya, Some inequalities for double integrals and applications for cubature formula, Acta Univ. Sapientiae, Math., 11(2) (2019), 271-295. $\href{https://doi.org/10.2478/ausm-2019-0021}{[\mbox{CrossRef}]} \href{https://www.scopus.com/record/display.uri?eid=2-s2.0-85082131341&origin=resultslist&sort=plf-f&src=s&sid=bcbe6436c0ddc6c0ea845c8c54a2e78b&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22Some+inequalities+for+double+integrals+and+applications+for+cubature+formula%22%29&sl=81&sessionSearchId=bcbe6436c0ddc6c0ea845c8c54a2e78b&relpos=0}{[\mbox{Scopus}]} \href{https://www.webofscience.com/wos/woscc/full-record/WOS:000518406900003}{[\mbox{Web of Science}]} $
- [7] M.Z. Sarıkaya, E. Set, M.E. Özdemir and S.S. Dragomir, New some Hadamard’s type inequalities for co-ordineted convex functions, Tamsui Oxf. J. Math. Sci., 28(2) (2010), 137-152. $ \href{https://www.scopus.com/record/display.uri?eid=2-s2.0-84875239482&origin=resultslist&sort=plf-f&src=s&sid=f4c3eebe11d050ef6a99c3daef5b4602&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22New+some+Hadamard%27s+type+inequalities+for+co-ordinated+convex+functions%22%29&sl=81&sessionSearchId=f4c3eebe11d050ef6a99c3daef5b4602&relpos=0}{[\mbox{Scopus}]} $
- [8] D.Y. Hwang, K.L. Seng and G.S. Yang, Some Hadamard’s inequalities for co-ordinated convex functions in a rectangle from the plane, Taiwanese J. Math.,11(1) (2007), 63-73. $ \href{https://doi.org/10.11650/twjm/1500404635}{[\mbox{CrossRef}]} \href{https://www.scopus.com/record/display.uri?eid=2-s2.0-34250215947&origin=resultslist&sort=plf-f&src=s&sid=bcbe6436c0ddc6c0ea845c8c54a2e78b&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22Some+Hadamard%27s+inequalities+for+co-ordinated+convex+functions+in+a+rectangle+from+the+plane%22%29&sl=81&sessionSearchId=bcbe6436c0ddc6c0ea845c8c54a2e78b&relpos=0}{[\mbox{Scopus}]} \href{https://www.webofscience.com/wos/woscc/full-record/WOS:000245526600006}{[\mbox{Web of Science}]} $
Details
Primary Language
English
Subjects
Mathematical Methods and Special Functions , Approximation Theory and Asymptotic Methods
Journal Section
Research Article
Early Pub Date
June 30, 2024
Publication Date
June 30, 2024
Submission Date
October 31, 2023
Acceptance Date
April 4, 2024
Published in Issue
Year 2024 Volume: 7 Number: 2
