Extended Jensen’s functional for diamond integral via Green’s function and Hermite polynomial-Reference-Cited by-同舟云学术

Extended Jensen’s functional for diamond integral via Green’s function and Hermite polynomial

Published:2022-04-28 Issue:1 Volume:2022 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Bibi Fazilat,Bibi Rabia,Nosheen Ammara,Pečarić Josip

Abstract

AbstractIn this paper, with the help of Green’s function and Hermite interpolating polynomial, an extension of Jensen’s functional for n-convex functions 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 the further extensions of Jensen’s functional. This paper also includes discussion on bounds for Grüss inequality, Ostrowski inequality, and Čebyšev functional associated to the newly defined Jensen’s functional.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-022-02785-1.pdf

Reference16 articles.

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