We obtain a Landau -- Hadamard type inequality for mappings defined on the whole real axis and taking values in Riemannian manifolds. In terms of an auxiliary convex function, we find conditions under which the boundedness of covariant derivative along the curve under consideration ensures the boundedness of the corresponding tangent vector field. As an example we obtain a Landau -- Hadamard type inequality for curves on 2D unite sphere.
Generalization of a Hadamard type inequality for permanents
Hermite-Hadamard's inequalities for preinvex functions via fractional integrals and related fractional inequalities
A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Gruss Type Related Results
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