Add to ORKGABSTRACT. We introduce the notions of power and Euler-Lagrange norms by replacing the triangle inequality, in the definition of norm, by appropriate inequalities. We prove that every usual norm is a power norm and vice versa. We also show that every norm is an Euler-Lagrange norm and that the converse is true under certain condition
ii iii The theory of inequalities has made significant contributions in many areas of mathematics. T...
AbstractA generalized matrix norm G dominates the spectral radius for all AϵMn(C) (i) if for some po...
AbstractIn this work we characterize normal invertible operators via inequalities with unitarily inv...
ABSTRACT. Replacing the triangle inequality, in the definition of a norm, by ‖x+ y‖q ≤ 2q−1 (‖x‖q + ...
INTRODUCTION Today, norms and their applications are recognized as an essential part of the backgrou...
A version of the Lebesgue differentiation theorem is offered, where the $L^p$ norm is replaced with ...
The Cartesian product of two copies of a normed space is naturally equipped with\ud the well-known p...
Abstract. Remarks about strengthening of the triangle inequality and its reverse inequality in norme...
The Cartesian product of two copies of a normed space is naturally equipped with the well-known p -n...
We will introduce linear operators and obtain their exact norms defined on the function spaces Xλ...
Remarks about strengthening of the triangle inequality and its reverse inequality in normed spaces f...
We consider whether L = limsup n→ ∞ n�T n+1 − T n � < ∞ implies that the operator T is power boun...
Abstract. A new family of norms is defined on the Cartesian product of n copies of a given normed sp...
Dominance between triangular norms (t-norms) is a versatile relationship. For continuous Archimedean...
Copyright c © 2014 Singh and Meitei. This is an open access article distributed under the Creative C...
ii iii The theory of inequalities has made significant contributions in many areas of mathematics. T...
AbstractA generalized matrix norm G dominates the spectral radius for all AϵMn(C) (i) if for some po...
AbstractIn this work we characterize normal invertible operators via inequalities with unitarily inv...
ABSTRACT. Replacing the triangle inequality, in the definition of a norm, by ‖x+ y‖q ≤ 2q−1 (‖x‖q + ...
INTRODUCTION Today, norms and their applications are recognized as an essential part of the backgrou...
A version of the Lebesgue differentiation theorem is offered, where the $L^p$ norm is replaced with ...
The Cartesian product of two copies of a normed space is naturally equipped with\ud the well-known p...
Abstract. Remarks about strengthening of the triangle inequality and its reverse inequality in norme...
The Cartesian product of two copies of a normed space is naturally equipped with the well-known p -n...
We will introduce linear operators and obtain their exact norms defined on the function spaces Xλ...
Remarks about strengthening of the triangle inequality and its reverse inequality in normed spaces f...
We consider whether L = limsup n→ ∞ n�T n+1 − T n � < ∞ implies that the operator T is power boun...
Abstract. A new family of norms is defined on the Cartesian product of n copies of a given normed sp...
Dominance between triangular norms (t-norms) is a versatile relationship. For continuous Archimedean...
Copyright c © 2014 Singh and Meitei. This is an open access article distributed under the Creative C...
ii iii The theory of inequalities has made significant contributions in many areas of mathematics. T...
AbstractA generalized matrix norm G dominates the spectral radius for all AϵMn(C) (i) if for some po...
AbstractIn this work we characterize normal invertible operators via inequalities with unitarily inv...