New Simpson’s Type Estimates for Two Newly Defined Quantum Integrals

Abstract:

In this paper, we give some correct quantum type Simpson’s inequalities via the application of q-Hölder’s inequality. The inequalities of this study are compatible with famous Simpson’s 1/8 and 3/8 quadrature rules for four and six panels, respectively. Several special cases from our results are discussed in detail. A counter example is presented to explain the limitation of Hölder’s inequality in the quantum framework.

Año de publicación:

2022

Keywords:

• Simpson’s inequality
• Q-Hölder’s inequality
• quantum integrals
• Quantum derivatives
• Convex function

Fuente:

google

scopus