An application of Hayashi's inequality for differentiable functions
type: Item
instance of: scholarly article
title: An application of Hayashi's inequality for differentiable functions
zbMATH Open document ID: 0874.26017
DOI: 10.1016/0898-1221(96)00146-0
author: Ravi P. Agarwal
author: Silvestru Sever Dragomir
publication date: 1996-01-01T00:00:00Z
review text: It is shown that Iyengar's inequality [\textit{K. S. K. Iyengar}, Math. Stud. 6, 75-76 (1938)] can be obtained from the well-known generalization of Steffensen's inequality for monotone functions obtained by \textit{T. Hayashi} [Tôhoku Math. J. 15, 236-239 (1919; JFM 47.0222.03)].
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 950622
zbMATH Keywords: means
zbMATH Keywords: Iyengar's inequality
zbMATH Keywords: Steffensen's inequality
reviewed by: J. Pečarić
MaRDI profile type: Publication
full work available at URL: 0898-1221(96)00146-0
OpenAlex ID: W2035709970
cites work: Q5287501
cites work: Q4000235
cites work: Two mappings in connection to Hadamard's inequalities
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 950622