Generalized Time Scale Hardy and Opial Inequalities via (p, q)-Calculus

Yisa Oluwatoyin Anthonio, Muritala Tunde Mohammed, Rafiu Adesola Wahab and Kamilu Rauf
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Yisa Oluwatoyin Anthonio: Department of Mathematics, Lagos State University of Science and Technology, Nigeria
Muritala Tunde Mohammed: DepartmentofMathematics,Universityof Ilorin, Nigeria
Rafiu Adesola Wahab: Department of Mathematics, University of Ilorin, Nigeria
Kamilu Rauf: Department of Mathematics, University of Ilorin, Nigeria

European Journal of Mathematics and Statistics, 2025, vol. 6, issue 2, 20-29

Abstract: Mathematical inequalities are of great importance in mathematics, especially in the theory of analysis and have been applied in different areas like differential equations, and geometry. In this paper, we derive and prove new results related to Hardy and Opial-type inequalities via (p, q)−calculus. The work generalizes some results in the literature.

Keywords: Convexity; (p,q)-calculus; (p,q)-differentiable function and convexity; inequalities (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:6:y:2025:i:2:id:14350

DOI: 10.24018/ejmath.2025.6.2.350

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