In this study, we derive a reverse inequality of the triangle inequality under various conditions. It is important that the condition is natural and is related to the meaning of original inequality. We introduce an extension of Pythagorean theorem in order to understand the necessity of the condition. The concept of convex and concave functions are related to our consideration of reverse inequality. These novel reverse inequalities are interesting and provide in-depth understanding of the original inequalities
AbstractThe matrix geometric mean is concave. We complete this important fact with a reverse result....
Recent reverses for the discrete generalised triangle inequality and its continuous version for vec...
Reverses of the triangle inequality for vectors in inner product spaces via the Selberg and Boas-Be...
Abstract. Recent results concerning reverses of the generalised triangle inequality in inner product...
Some additive reverses of the generalized triangle inequality in normed linear spaces are given. App...
AbstractSome reverses for the generalised triangle inequality in complex inner product spaces are gi...
Recent results concerning reverses of the generalised triangle inequality in inner product spaces an...
Recent results concerning reverses of the generalised\ud triangle inequality in inner product spaces...
Some new reverses for the generalised triangle inequality in inner product spaces are given. Applica...
Some reverses for the generalised triangle inequality in complex inner product spaces are given. The...
The triangle inequality is basic for many results in real and complex analysis. The geometric form s...
A reverse of the triangle inequality in inner product spaces related\ud to the celebrated Diaz-Metca...
We give a reverse inequality involving the elementary symmetric function by use of the Schur harmoni...
In this paper, we give a classification of points under which the generalization of Cîrtoaje's inequ...
Recent reverses of the generalised triangle inequality in normed linear spaces that complement the ...
AbstractThe matrix geometric mean is concave. We complete this important fact with a reverse result....
Recent reverses for the discrete generalised triangle inequality and its continuous version for vec...
Reverses of the triangle inequality for vectors in inner product spaces via the Selberg and Boas-Be...
Abstract. Recent results concerning reverses of the generalised triangle inequality in inner product...
Some additive reverses of the generalized triangle inequality in normed linear spaces are given. App...
AbstractSome reverses for the generalised triangle inequality in complex inner product spaces are gi...
Recent results concerning reverses of the generalised triangle inequality in inner product spaces an...
Recent results concerning reverses of the generalised\ud triangle inequality in inner product spaces...
Some new reverses for the generalised triangle inequality in inner product spaces are given. Applica...
Some reverses for the generalised triangle inequality in complex inner product spaces are given. The...
The triangle inequality is basic for many results in real and complex analysis. The geometric form s...
A reverse of the triangle inequality in inner product spaces related\ud to the celebrated Diaz-Metca...
We give a reverse inequality involving the elementary symmetric function by use of the Schur harmoni...
In this paper, we give a classification of points under which the generalization of Cîrtoaje's inequ...
Recent reverses of the generalised triangle inequality in normed linear spaces that complement the ...
AbstractThe matrix geometric mean is concave. We complete this important fact with a reverse result....
Recent reverses for the discrete generalised triangle inequality and its continuous version for vec...
Reverses of the triangle inequality for vectors in inner product spaces via the Selberg and Boas-Be...