Inequalities of Hardy type for Jackson Nörlund Integrals

Authors

  • Naheed Ashraf Department of Mathematics, Govt. Post Graduate College for Women, Sargodha 40100
  • Khuram Ali Khan Department of Mathematics, University of Sargodha, Sargodha 40100
  • Shakila Mobeen Department of Mathematics, Govt. Post Graduate College for Women, Sargodha 40100
  • Ammara Nosheen Department of Mathematics, The University of Lahore, Sargodha Campus 40100

DOI:

https://doi.org/10.26713/cma.v9i3.809

Keywords:

Convex function, Jackson integral, Nörlund sums, Jensen's inequality, Hardy inequality

Abstract

In the paper, we prove Jensen's inequality for Jackson Nörlund integrals, and by using Jensen's inequality, Hardy type inequalities with general kernels as well as choosing special kernels are proved. In seek of applications to these inequalities we give Hilbert-Hardy inequality and Polya-Knop type inequalities.

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References

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Published

25-09-2018
CITATION

How to Cite

Ashraf, N., Khan, K. A., Mobeen, S., & Nosheen, A. (2018). Inequalities of Hardy type for Jackson Nörlund Integrals. Communications in Mathematics and Applications, 9(3), 411–419. https://doi.org/10.26713/cma.v9i3.809

Issue

Vol. 9 No. 3 (2018)

Section

Research Article

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