Multifunctional Opial-type Integral Inequalities
1 University of Ilorin, Nigeria
2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
3 Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria
4 Department of Mathematics and Statistics, Lagos State Polytechnic, Ikorodu, Nigeria
* Corresponding author: krauf@unilorin.edu.ng
2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
3 Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria
4 Department of Mathematics and Statistics, Lagos State Polytechnic, Ikorodu, Nigeria
* Corresponding author: krauf@unilorin.edu.ng
Abstract
Some new estimates on integral inequalities of Opial-type
for multifunctions are established through some analytic
methods. In special cases, the results derived in this paper
yield some recently obtained results on Opial’s inequality.
Moreover, more results of Opial-type inequality which extend some known results in the literature are also derived.
Keywords
Multifunctional
Measurable functions and Convex functions
Opial inequality
Jensen Inequality
How to Cite
RAUF, K., Anthonio, O., Abolarinwa, A., & Aribike, E. E. (2022). Multifunctional Opial-type Integral Inequalities. Nigerian Journal of Mathematics and Applications, 32(1), 1-13. https://doi.org/10.67897/njma.2022.e25u3qnn
K. RAUF, O. Anthonio, A. Abolarinwa, and E. E. Aribike, "Multifunctional Opial-type Integral Inequalities," Nigerian Journal of Mathematics and Applications, vol. 32, no. 1, pp. 1-13, June 2022. doi: 10.67897/njma.2022.e25u3qnn