Hardy type inequalities for superquadratic functions via Jackson Nörlund integrals
Volume 23, Issue 3, pp 203--212
http://dx.doi.org/10.22436/jmcs.023.03.04
Publication Date: November 01, 2020
Submission Date: March 31, 2020
Revision Date: April 17, 2020
Accteptance Date: August 17, 2020
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Authors
Hafiz Abdul Moeed
- Department of Mathematics, University of Lahore, Sargodha Campus, Pakistan.
Dawood Ahmad
- Department of Mathematics, University of Lahore, Sargodha Campus, Pakistan.
Ammara Nosheen
- Department of Mathematics, University of Lahore, Sargodha Campus, Pakistan.
Khuram Ali Khan
- Department of Mathematics, University of Sargodha, Sargodha, Pakistan.
Abstract
In this paper, it is tried to describe Hardy-type inequalities with certain kernels by using Jackson Nörlund integrals. In order to obtain the desired Hardy type inequalities, firstly, we prove Jensen's inequality involving super quadratic function and Jackson Nörlund integrals. Further, we discuss Hardy-type inequalities by choosing special kernels. Polya-Knopp type inequalities are also deduced to find applications.
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ISRP Style
Hafiz Abdul Moeed, Dawood Ahmad, Ammara Nosheen, Khuram Ali Khan, Hardy type inequalities for superquadratic functions via Jackson Nörlund integrals, Journal of Mathematics and Computer Science, 23 (2021), no. 3, 203--212
AMA Style
Moeed Hafiz Abdul, Ahmad Dawood, Nosheen Ammara, Khan Khuram Ali, Hardy type inequalities for superquadratic functions via Jackson Nörlund integrals. J Math Comput SCI-JM. (2021); 23(3):203--212
Chicago/Turabian Style
Moeed, Hafiz Abdul, Ahmad, Dawood, Nosheen, Ammara, Khan, Khuram Ali. "Hardy type inequalities for superquadratic functions via Jackson Nörlund integrals." Journal of Mathematics and Computer Science, 23, no. 3 (2021): 203--212
Keywords
- Hahn integral operators
- superquadratic function
- Hardy-type inequalities
MSC
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