RUS  ENG
Full version
JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2023 Volume 12(30), Issue 2, Pages 68–86 (Mi pa376)

This article is cited in 2 papers

Integral inequalities of Simpson type via weighted integrals

J. E. Nápolesab, M. N. Quevedo Cubillosc, B. Bayraktard

a UTN-FRRE, French 414, Resistencia, Chaco 3500, Argentina
b UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400, Argentina
c Universidad Militar Nueva Granada, Bógota D.C., Colombia
d Bursa Uludag University, Faculty of Education, Gorukle Campus, 16059, Bursa, Turkey

Abstract: In this work, we use weighted integrals to obtain new integral inequalities of the Simpson type for the class of $(h, m, s)$-convex functions of the second type. In the work we show that the obtained results include some known from the literature, as particular cases.

Keywords: convex fuction, inequality of Simpson, weighted integral operator, $(h, m, s)$-convex function, Hadamard-type inequality, Hölder inequality, power mean inequality.

UDC: 517.518.862, 517.218.244

MSC: 26D10, 26A51,26A33

Received: 29.01.2023
Revised: 20.04.2023
Accepted: 19.04.2023

DOI: 10.15393/j3.art.2023.13310



© Steklov Math. Inst. of RAS, 2024