Symmetric Post-Quantum Ostrowski-Type Inequalities

Authors

  • Muhammad Nasim Aftab Department of Mathematics, University of Engineering and Technology, Lahore 54890, Pakistan
  • Christophe Chesneau Department of Mathematics, LMNO, University of Caen Normandie, Caen 14032, Caen, France
  • Sheza El-Deeb Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia ................................................................................................................................................... Department of Mathematics, Faculty of Science, Damietta University, New Damietta, Egypt
  • Silvestru Sever Dragomir Applied Mathematics Research Group, ISILC, Victoria University, PO Box 14428, Melbourne City, MC8001, VIC, Australia
  • Mehmet Zeki Sarikaya Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Türkiye

Abstract

In this manuscript, we establish a Montgomery-type integral identity in the framework of left symmetric post-quantum calculus. Using this identity, we derive Ostrowski-type inequalities under suitable convexity assumptions on the symmetric post-quantum derivative. In addition, a Hölder-type estimate is obtained for conjugate exponents. The limiting case p −→1− is also discussed, recovering the corresponding symmetric quantum inequalities.

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Published

30-09-2026

Issue

Vol. 1 No. 2 (2026): September 2026

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Articles

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Copyright (c) 2026 Muhammad Nasim Aftab, Christophe Chesneau, Sheza El-Deeb, Silvestru Sever Dragomir, Mehmet Zeki Sarikaya (Author)

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How to Cite

Symmetric Post-Quantum Ostrowski-Type Inequalities. (2026). International Journal of Applied Mathematics , Optimization and Artificial Intelligence, 1(2), 1-10. https://ijamoai.org/ijamoai/index.php/ojs/article/view/19