Naslov
Weighted Hermite-Hadamard Inequalites via Steffensen’s Inequality and Lidstone Interpolating Polynomial

Autori
Smoljak Kalamir, Ksenija

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
International E-Conference on Mathematical and Statistical Sciences: A Selcuk Meeting, Book of Abstracts / - Selçuk, 2022, 100-100

Skup
International E-Conference on Mathematical and Statistical Sciences: A Selcuk Meeting (ICOMSS 2022)

Mjesto i datum
Online, 20.10.2022. - 22.10.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Lidstone interpolating polynomial ; convex functions ; generalizations ; estimates

Sažetak
One of the most interesting results relating to convexity is Hermite-Hadamard’s inequality. It gives us an estimate of the integral mean value of a continuous convex function. The weighted Hermite-Hadamard inequality for convex functions and Steffensen’s inequality have been the starting point for many recent advances in the theory of inequalities. In this talk we will use the new method on known identities related to generalizations of Steffensen’s inequality via Lidstone interpolating polynomial to obtain new weighted Hermite-Hadamard inequalities as well as some estimates for Steffensen-type differences.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA