Some opial-type inequalities with higher order delta derivatives on time scales

  • A. A. El-DeebEmail author
  • H. A. El-Sennary
  • Praveen Agarwal
Original Paper


In this article, we will establish some new dynamic Opial-type inequalities with higher order delta derivatives on time scales. Our results generalize some existing dynamic Opial-type inequalities, and give some integral and discrete inequalities as special cases. An application will be introduced to illustrate the benefit of some of our results.


Opial-type inequality Dynamic inequality Time scale 

Mathematics Subject Classification

26D10 26D15 26E70 34A40 



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Copyright information

© The Royal Academy of Sciences, Madrid 2019

Authors and Affiliations

  • A. A. El-Deeb
    • 1
    Email author
  • H. A. El-Sennary
    • 1
  • Praveen Agarwal
    • 2
  1. 1.Department of Mathematics, Faculty of ScienceAl-Azhar UniversityNasr CityEgypt
  2. 2.Department of MathematicsAnand International College of EngineeringJaipurIndia

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