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Dual-Parameter Matrix Analysis:(p,q)-Integral Inequalities and Functional Spaces in Post-Quantum |
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PP: 29-33 |
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doi:10.18576/sjm/130301
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Author(s) |
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Akwaboah Vincent,
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Abstract |
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| This paper establishes a rigorous analytical framework for matrix-valued function integral inequalities by leveraging the principles of post-quantum $(p, q)$-calculus. We successfully generate and prove the $(p, q)$-Cauchy-Schwarz, $(p, q)$-Hölder, and $(p, q)$-Minkowski integral inequalities within the Frobenius inner product space. Crucially, these foundational mathematical developments demonstrate the existence of $(p, q)$-Schatten-normed Banach spaces. By providing the structural framework necessary for uncertainty principles in deformed physical systems and stability analysis in post-quantum differential equations, these findings bridge a vital gap between classical algebraic inequalities and emerging quantum mechanics. |
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