%0 Journal Article %T New Quantum Estimates of Trapezium-Type Inequalities for Generalized £¿-Convex Functions %A Artion Kashuri %A Jorge E. Hern¨¢ndez Hern¨¢ndez %A Miguel J. Vivas-Cortez %A Rozana Liko %J Mathematics | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/math7111047 %X In this paper, a quantum trapezium-type inequality using a new class of function, the so-called generalized £¿ -convex function, is presented. A new quantum trapezium-type inequality for the product of two generalized £¿ -convex functions is provided. The authors also prove an identity for twice q - differentiable functions using Raina¡¯s function. Utilizing the identity established, certain quantum estimated inequalities for the above class are developed. Various special cases have been studied. A brief conclusion is also given %U https://www.mdpi.com/2227-7390/7/11/1047