Zobrazeno 1 - 9
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pro vyhledávání: '"Olanipekun, Peter Olamide"'
Autor:
Olanipekun, Peter Olamide
We extend the notion of convexity of functions defined on global nonpositive curvature spaces by introducing (geodesically) $h$-convex functions. We prove estimates of Hermite-Hadamard type via Katugampola's fractional integrals. We obtain an importa
Externí odkaz:
http://arxiv.org/abs/2404.09400
Autor:
Olanipekun, Peter Olamide
Fractal geometry and analysis constitute a growing field, with numerous applications, based on the principles of fractional calculus. Fractals sets are highly effective in improving convex inequalities and their generalisations. In this paper, we est
Externí odkaz:
http://arxiv.org/abs/2401.00718
Autor:
Olanipekun, Peter Olamide
We establish a rigidity result for the critical points, with boundary, of a four dimensional Willmore energy. These critical points satisfy a 4-Willmore equation which is a sixth order nonlinear elliptic partial differential equation. We establish se
Externí odkaz:
http://arxiv.org/abs/2305.09854
A four dimensional conformally invariant energy is studied. This energy generalises the well known two-dimensional Willmore energy. Although not positive definite, it includes minimal hypersurfaces as critical points. We compute its first variation a
Externí odkaz:
http://arxiv.org/abs/2211.05320
Autor:
Olanipekun, Peter Olamide
In this thesis, a four dimensional conformally invariant energy is studied. This energy generalises the well known two-dimensional Willmore energy. Although not positive definite, it includes minimal hypersurfaces as critical points. We compute its f
Externí odkaz:
http://arxiv.org/abs/2210.05924
Publikováno v:
In Bulletin des sciences mathématiques November 2023 188
New Hermite-Hadamard Type Inequalities for Twice Differentiable Composite $(h-s)_2$-Convex Functions
In a recent paper [9], Ozdemir, Tunc and Akdemir defined two new classes of convex functions with which they proved some Hermite-Hadamard type inequalities. As an Open problem, they asked for conditions under which the composition of two functions be
Externí odkaz:
http://arxiv.org/abs/1604.03358
Autor:
Olanipekun, Peter Olamide1,2 polanipekun@unilag.edu.ng, Mogbademu, Adesanmi A.1 amogbademu@unilag.edu.ng, Dragomir, Sever Silvestru3,4 sever.dragomir@vu.edu.au
Publikováno v:
Note di Matematica. 2018, Vol. 38 Issue 1, p23-34. 12p.
Autor:
OLANIPEKUN, PETER OLAMIDE
The Willmore energy is a well known geometric quantity which measures the sphericity of a surface. In this thesis, we study a four dimensional generalisation of the Willmore energy. We show that critical hypersurfaces of this four dimensional energy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::259c1148c236472a091487cb12c2722b