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The Sharp Bound of Certain Second Hankel Determinants for the Class of Inverse of Starlike Functions with Respect to Symmetric Points
We investigate the sharp bound of certain coefficient functionals associated with a Hankel determinant of the second kind for the inverse function...
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The sharp bound of the third Hankel determinant of kth-root transformation for analytic functions
In this paper, we delve into the fascinating realm of analytic map**s within the open unit disc, focusing on functions that are standardly...
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The sharp lower bound of the first Dirichlet eigenvalue for geodesic balls
On complete noncompact Riemannian manifolds with non-negative Ricci curvature, Li–Schoen proved the uniform Poincaré inequality for any geodesic...
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On a Sharp Lower Bound for the Tjurina Number of Zero-Dimensional Complete Intersections
AbstractAs is known, for isolated hypersurface singularities and complete intersections of positive dimension, the Milnor number is the least upper...
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Uniform Upper Bounds on Courant Sharp Neumann Eigenvalues of Chain Domains
We obtain upper bounds on the number of nodal domains of Laplace eigenfunctions on chain domains with Neumann boundary conditions. The chain domains...
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Curves with Sharp Chabauty-Coleman Bound
We construct curves of each genus g ≥ 2 for which Coleman’s effective Chabauty bound is sharp and Coleman’s theorem can be applied to determine... -
Sharp Steklov Upper Bound for Submanifolds of Revolution
In this note, we find a sharp upper bound for the Steklov spectrum on a submanifold of revolution in Euclidean space with one boundary component.
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The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/2
The objective of this paper is to find the best possible upper bound of the third Hankel determinant for starlike function of order 1/2, thus...
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Stochastic algorithms with geometric step decay converge linearly on sharp functions
Stochastic (sub)gradient methods require step size schedule tuning to perform well in practice. Classical tuning strategies decay the step size...
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Sharp bounds for Hardy-type operators on mixed radial-angular central Morrey spaces
By using the rotation method, a sharp bound for an n -dimensional Hardy operator on mixed radial-angular central Morrey spaces is obtained....
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Sharp upper bounds for Steklov eigenvalues of a hypersurface of revolution with two boundary components in Euclidean space
We investigate the question of sharp upper bounds for the Steklov eigenvalues of a hypersurface of revolution in Euclidean space with two boundary...
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Sharp Bounds for the Spectral Radii of Nonnegative Tensors
In this paper, we obtain some sharp upper and lower bounds for the spectral radii of nonnegative k -uniform tensors (resp., nonnegative tensors) by...