B. Bayraktar, J. E. Nápoles Valdés, “New generalized integral inequalities via <nobr>$(h,m)$</nobr>-convex modified functions”, Izv. IMI UdGU, 2022, Volume 60,Pages <nobr>3

This article is cited in 6 papers

MATHEMATICS

New generalized integral inequalities via $(h,m)$-convex modified functions

B. Bayraktar^a, J. E. Nápoles Valdés^bc

^a Bursa Uludağ University, Görükle Campus, 16059, Bursa, Turkey
^b Universidad Nacional del Nordeste, Ave. Libertad, 5450, Corrientes, 3400, Argentina
^c Universidad Tecnológica Nacional, St. French, 414, Resistencia, Chaco, 3500, Argentina

Abstract: In this article, we establish several inequalities for $(h,m)$-convex maps, related to weighted integrals, used in previous works. Throughout the work, we show that our results generalize several of the integral inequalities known from the literature.

Keywords: Hermite–Hadamard inequality, Hölder inequality, power mean inequality, weighted integrals, $(m,h)$-convex functions.

UDC: 517.518, 517.218, 517.927

MSC: 26A51, 26D10, 26D15

Received: 06.04.2022
Accepted: 29.09.2022

DOI: 10.35634/2226-3594-2022-60-01