O. Anthonio

Department of Mathematics, University of Ilorin, Ilorin, Nigeria

2 Publications

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Publications 2

Research Article Vol. 32, Issue 1

Some Generalizations of Opial-type Inequalities on Time Scales

E. E. Aribike^*, O. Anthonio, S. A. Aniki, Kamilu RAUF

Opial-type inequalities has grown into a substantial field with many applications in proving the existence and uniqueness of solutions of initial and boundary value problems for differential equations. We shall obtain Hua’s inequality on time scales The methodology employed in this paper is the H¨older’s inequality for convex functions.

DOI: 10.67897/njma.2022.tl3im48l

Jun, 2022 Vol. 32, Issue 1 7 views 4 downloads

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Research Article Vol. 32, Issue 1

Multifunctional Opial-type Integral Inequalities

Kamilu RAUF^*, O. Anthonio, A. Abolarinwa, E. E. Aribike

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...

DOI: 10.67897/njma.2022.e25u3qnn

Jun, 2022 Vol. 32, Issue 1 7 views 3 downloads

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