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

A. A. El-Deeb; H. A. El-Sennary; Praveen Agarwal

doi:10.1007/s13398-019-00749-7

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

A. A. El-Deeb
, H. A. El-Sennary
, Praveen Agarwal

Al-Azhar University
International College of Engineering

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English
Article number	29
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	114
Issue number	1
DOIs	https://doi.org/10.1007/s13398-019-00749-7
State	Published - 1 Jan 2020
Externally published	Yes

Keywords

Dynamic inequality
Opial-type inequality
Time scale

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10.1007/s13398-019-00749-7

Cite this

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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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AB - 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.

KW - Dynamic inequality

KW - Opial-type inequality

KW - Time scale

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DO - 10.1007/s13398-019-00749-7

M3 - Article

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VL - 114

JO - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

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

Abstract

Keywords

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