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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.FA2016
New Hermite-Hadamard Type Inequalities for Twice Differentiable Composite -Convex Functions
Peter Olamide Olanipekun, Adesanmi Alao Mogbademu
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, the…