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<p>Quantum calculus facilitates new methods for computing and classifying <i>q</i>-special functions. This study establishes some novel <i>q</i>-integral inequalities of Newton and Ostrowski types for several classes of convex functions. These findings illustrate how <i>q</i>-calculus and <i>q</i>-integral inequalities work together, offering new applications in electronics, chemistry and optimization. We prove novel auxiliary results related to quantum differentiable functions fundamental to deriving these improved inequalities. We also provide graphical illustrations of established results for validation using quadratic, trigonometric, exponential, and logarithmic cases.</p>

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Quantum Integral Inequalities: Newton and Ostrowski Approaches in Electrical, Chemical, and Optimal Systems

  • 期刊论文

  • 发表日期：

    2026年7月13日

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  • Wen-li Wang,
  • Ahsan Fareed Shah,
  • Salah Mahmoud Boulaaras,
  • Muhammad Shoaib Saleem

摘要

Quantum calculus facilitates new methods for computing and classifying q-special functions. This study establishes some novel q-integral inequalities of Newton and Ostrowski types for several classes of convex functions. These findings illustrate how q-calculus and q-integral inequalities work together, offering new applications in electronics, chemistry and optimization. We prove novel auxiliary results related to quantum differentiable functions fundamental to deriving these improved inequalities. We also provide graphical illustrations of established results for validation using quadratic, trigonometric, exponential, and logarithmic cases.