3 papers
math.FA2024
Fractional Integral Estimates of Hermite-Hadamard type in Global Nonpositive Curvature Spaces
Peter Olamide Olanipekun
We extend the notion of convexity of functions defined on global nonpositive curvature spaces by introducing (geodesically) -convex functions. We prove estimates of Hermite-Hada…
math.FA2024
Generalised Local Fractional Hermite-Hadamard Type Inequalities on Fractal Sets
Peter Olamide Olanipekun
Fractal geometry and analysis constitute a growing field, with numerous applications, based on the principles of fractional calculus. Fractals sets are highly effective in improvin…
math.DG2023
Rigidity Result for Four Dimensional Willmore Submanifolds with Boundary
Peter Olamide Olanipekun
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 o…