Some Opial-type inequalities involving fractionalintegral operators

Authors

  • Sajid Iqbal Department of Mathematics, Ripha International University, Faisalabad Campus, Satyana Road, 38000 Faisalabad, Pakistan.
  • Muhammad Samraiz Department of Mathematics, University of Sargodha, Sargodha, Pakistan.
  • Shahbaz Ahmad Department of Mathematics, University of Sargodha (Sub-Campus Bhakkar), Bhakkar, Pakistan.
  • Shahzad Ahmad Department of Mathematics, Ripha International University, Faisalabad Campus, Satyana Road, 38000 Faisalabad, Pakistan.

Keywords:

Inequalities, Kernel, fractional integrals

Abstract

The core idea of this paper is to provide the Opial-type inequalities for Hadamard fractional integral operator and fractional integral of a function with respect to an increasing function gg. Moreover, related extreme cases and counter part of our main results are also given in the paper.

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Published

2021-06-30

Issue

Vol. 17 No. 1 (2021): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Some Opial-type inequalities involving fractionalintegral operators. (2021). Journal of Prime Research in Mathematics, 17(1), 48–58. https://jprm.sms.edu.pk/index.php/jprm/article/view/172