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

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt

    A. A. El-Deeb & H. A. El-Sennary

  2. Department of Mathematics, Anand International College of Engineering, Near Kanota, Agra Road, Jaipur, Rajasthan, 303012, India

    Praveen Agarwal

Authors
  1. A. A. El-Deeb
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  2. H. A. El-Sennary
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  3. Praveen Agarwal
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Correspondence to A. A. El-Deeb.

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El-Deeb, A.A., El-Sennary, H.A. & Agarwal, P. Some opial-type inequalities with higher order delta derivatives on time scales. RACSAM 114, 29 (2020). https://doi.org/10.1007/s13398-019-00749-7

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  • DOI: https://doi.org/10.1007/s13398-019-00749-7

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