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The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
generalized triangle inequalities symmetric spaces and buildings applications to algebra
2015/10/14
In this paper we apply our results on the geometry of polygons in infinitesimal symmetric spaces, symmetric spaces and buildings, [KLM1, KLM2], to four problems in algebraic group theory. Two of these...
Eigenstructure of the discrete Laplacian on the equilateral triangle: The Dirichlet & Neumann problems
equilateral triangle discrete Laplacian eigenvalues/eigenvectors
2010/11/1
Lam´e’s formulas for the eigenvalues and eigenfunctions of the continuous Laplacian on an equilateral triangle under Dirichlet and Neumann boundary conditions are herein extended to the discrete...
On a class of triangle interpolation operators of revised Bernstein type
triangle interpolation operator of Bernstein type two revised nodes
2010/9/14
In this paper, to improve the uniform convergence of the known Lagrange interpolation polynomials, a new triangle interpolation operator of Bernstein type is constructed by using the method of two rev...
A Class of Inequalities Related to the Angle Bisectors and the Sides of a Triangle
Inequality Triangle Angle bisector Cyclic sum Best coefficient
2008/7/3
In the present paper a class of geometric inequalities concerning the angle bisectors and the sides of a triangle are established. Moreover an interesting open problem is proposed.
Carleson Measures for Analytic Besov Spaces: The Upper Triangle Case
Analytic Besov Spaces Carleson measures Discrete model
2008/7/1
Carleson Measures for Analytic Besov Spaces: The Upper Triangle Case.
Generalizations of the Triangle Inequality
Triangle inequality Hilbert space Sum of two Hilbert spaces various operators among Hilbert spaces Reproducing kernel Linear mapping Norm inequality
2008/7/1
Generalizations of the Triangle Inequality.
Refinements of Reverse Triangle Inequalities in Inner Product Spaces
Triangle inequality Reverse inequality Diaz-Metkalf inequality Inner product space
2008/6/27
Refining some results of S.S. Dragomir, several new reverses of the triangle inequality in inner product spaces are obtained.
Proving Inequalities in Acute Triangle with Difference Substitution
Inequalities Acute Triangle Difference Substitution Linear transformation
2008/6/27
Proving Inequalities in Acute Triangle with Difference Substitution.
Reverses of Schwarz's Triangle and Bessel Inequalities in Inner Product Spaces
Schwarz's inequality Triangle inequality Bessel's inequality Gruss type inequalities Integral inequalities
2008/6/27
Reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces that produce some earlier results are pointed out. They are applied to obtain new Gruss type inequalities. Some natura...
Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-Valued Functions in Hilbert Spaces
Triangle inequality Reverse inequality Hilbert spaces Bochner integral
2008/6/27
Some reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.
Reverses of the Triangle Inequality in Banach Spaces
Reverse triangle inequality Hilbert spaces Banach spaces Bochner integral
2008/6/27
Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained. Particular instanc...
Some Cyclical Inequalities for the Triangle
Inequalities Geometric inequalities Triangle inequalities Circular inequalities
2008/6/27
Classical inequalities and convex functions are used to obtain cyclical inequalities involving the elements of a triangle.
On linear combination of two classes of triangle summation operators of Bernstein type
triangle summation operator of Bernstein type uniform convergence
2010/9/15
To improve the convergence properties of the Lagrange interpolation operators, Bernstein constructed two classes of operators. Subsequently, many experts generalized these operators, and acquired sign...