A. Abolarinwa

Department of Mathematics, University of Lagos, Akoka, Lagos State, Nigeria

a.abolarinwa1@gmail.com

3 Publications

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Publications 3

Research Article Vol. 32, Issue 2

Remarks on L p -CKN Interpolation Inequalities of Hardy and Rellich Types on the Sphere

A. Abolarinwa^*, Kamilu RAUF, S. Yin

We prove a new family of L p -Caffarelli-Kohn-Nirenberg (CKN) interpolation inequalities with sharp constants on the unit sphere of dimension greater than or equal to two. Consequently, several sharp Hardy type inequalities are obtained as special cases. Moreover, the same method is adopted to establish a new class of Hardy-Rellich type inequalitie...

DOI: 10.67897/njma.2022.x7af8ch8

Dec, 2022 Vol. 32, Issue 2 8 views 7 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 12 views 6 downloads

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Research Article Vol. 30, Issue 1

Lower estimates on the principal eigenvalue of Witten q-Laplacian on Smooth metric measure spaces

A. Abolarinwa^*

Some eigenvalue inequalities in terms of generalized Mckean bound and the weighted Cheeger’s constant are proved for Witten q-Laplacian on smooth metric measure spaces with smooth boundary imposing certain restrictions on geometric quantities such as mean curvatute and sectional curvature of the domains. On the other hand, a clamped plate problem i...

DOI: 10.67897/njma.2020.d04oko97

Aug, 2020 Vol. 30, Issue 1 8 views 4 downloads

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