Generalizations of Sherman’s inequality via Fink’s identity and Green’s function

• Date: 2018
• Main Authors: Ivelic, Bradanovic S., Latif, M. A., Pečarić, J. E., Івелич, Браданович С., Латіф, М. А., Печарик, Й. Е.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1615
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

New generalizations of Sherman’s inequality for $n$-convex functions are obtained by using Fink’s identity and Green’s function. By using inequalities for the Chebyshev functional, we establish some new Ostrowski- and Gruss-type inequalities related to these generalizations.