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

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

Abstract In 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 in...

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Bibliographic Details
Main Authors: Fazilat Bibi, Rabia Bibi, Ammara Nosheen, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2022-04-01
Series:Journal of Inequalities and Applications
Subjects:
Time scales
Jensen’s inequality
Diamond integrals
Green’s function
Hermite polynomial
Online Access:https://doi.org/10.1186/s13660-022-02785-1

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