Some Steffensen-type dynamic inequalities on time scales

A. A. El-Deeb; H. A. El-Sennary; Zareen A. Khan

doi:10.1186/s13662-019-2193-2

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Some Steffensen-type dynamic inequalities on time scales

Journal article

Open access

Peer reviewed

Some Steffensen-type dynamic inequalities on time scales

A. A. El-Deeb, H. A. El-Sennary and Zareen A. Khan

Advances in difference equations, Vol.2019(1), pp.1-14

24/06/2019

DOI: https://doi.org/10.1186/s13662-019-2193-2

Abstract

Analysis

Difference and Functional Equations

Functional Analysis

general

Mathematics

Mathematics and Statistics

Ordinary Differential Equations

Partial Differential Equations

We consider some new Steffensen-type dynamic inequalities on an arbitrary time scale by utilizing the diamond- α dynamic integrals, which are characterized as a combination of the delta and nabla integrals. These inequalities expand some known dynamic inequalities on time scales, bind together and broaden some integral inequalities and their discrete analogs.

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Title: Some Steffensen-type dynamic inequalities on time scales
Creators - without role: A. A. El-Deeb - Al Azhar University
H. A. El-Sennary - Al Azhar University
Zareen A. Khan - Princess Nourah bint Abdulrahman University
Publication Details: Advances in difference equations, Vol.2019(1), pp.1-14
Publisher: Springer International Publishing
Identifiers: 9927315708331
Academic Unit: Princess Nourah bint Abdulrahman University
Language: English
Resource Type: Journal article