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

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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… Click to show full 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.

Keywords: quantum; new simpson; type estimates; simpson type; estimates two; type

Journal Title: Symmetry
Year Published: 2022

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