Naslov
Fejér type inequalities for higher order convex functions and weighted three-point quadrature formulae

Autori
Ribičić Penava, Mihaela

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

Izvornik
Book of abstracts International Conference on Mathematical Sciences (ICMS-2021) / Dhodiya, Jayesh M. - Surat : Sardar Vallabhbhai National Institute of Technology, 2021, 34-34

Skup
Ifth International Conference of Mathematical Sciences (ICMS 2021)

Mjesto i datum
Surat, Indija, 07.10.2021. - 09.10.2021

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Fejér type inequalities, three-point integral formula, higher order convex functions

Sažetak
The main aim of this note is to present some new Fejér type inequalities for higher order convex functions and a general three-point integral formula. The importance and significance of our paper are reflected in the way in which we prove new Fejér-type inequalities for higher-order convex functions and the general weighted three- point quadrature formula by using a weighted version of the integral identity expressed by w- harmonic sequences of functions, the properties of harmonic sequences of polynomials and the properties of n-convex functions. Also, we derive Fejér-type estimates for a generalization of the Gauss–Legendre three-point quadrature formula, and a generalization of the Gauss– Chebyshev three- point quadrature formula of the first and of the second kind.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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