Extended Jensen's functional for diamond integral via Hermite polynomial
type: Item
instance of: scholarly article
title: Extended Jensen's functional for diamond integral via Hermite polynomial
zbMATH Open document ID: 1476.26016
DOI: 10.1155/2021/5926739
author: Rabia Bibi
author: Fazilat Bibi
author: A. Nosheen
author: J. Pečarić
published in: Journal of Function Spaces
publication date: 2021-09-07T00:00:00Z
review text: Summary: In this paper, with the help of Hermite interpolating polynomial, extension of Jensen's functional for \(n\)-convex function is deduced from Jensen's inequality involving diamond integrals. Special Hermite conditions, including Taylor two-point formula and Lagrange's interpolation, are also deployed to find further extensions of Jensen's functional. The paper also includes discussion on bounds for Grüss-type inequality, Ostrowski-type inequality, and Chebyshev functional associated with newly defined Jensen's functional.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 7391743
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5926739
OpenAlex ID: W3189291003
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description: scientific article; zbMATH DE number 7391743