• Journal of the Korean Mathematical Society
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• v.32 no.4
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• pp.857-867
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• 1995

Throughout this paper, let $M_{mn}(R)$ be the set of all $m \times n$ real matrices, and let $R^n$ the set of all real row vectors with n components.

• Kyungpook Mathematical Journal
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• v.53 no.4
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• pp.615-624
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• 2013

The object of the present paper is to investigate the majorization properties of certain subclasses of analytic p-valent functions defined by convolution.

• Honam Mathematical Journal
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• v.40 no.4
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• pp.765-770
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• 2018

In this paper, we investigate the majorization properties for certain subclasses of analytic functions of complex order. Moreover, some interesting consequences of our main theorem are pointed out.

• Bulletin of the Korean Mathematical Society
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• v.39 no.2
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• pp.283-287
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• 2002

In this paper, we will investigate the set of linear operators on real square matrices that strongly preserve multivariate majorisation without any additional conditions on the operator. This answers earlier conjecture on nonnegative matrices in [3] .

• East Asian mathematical journal
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• v.17 no.2
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• pp.175-183
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• 2001

The main object of this paper is to investigate several majorization problems involving two subclasses $S_{p,q}(\gamma)$ and $C_{p,q}(\gamma)$ of p-valently starlike and p-valently convex functions of complex order ${\gamma}{\neq}0$ in the open unit disk $\mathbb{u}$. Relevant connections of the results presented here with those given by earlier workers on the subject are also indicated.

• Nonlinear Functional Analysis and Applications
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• v.26 no.1
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• pp.71-81
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• 2021

The main object of this present paper is to study some majorization problems for certain classes of analytic functions defined by means of q-calculus operator associated with exponential function.

• Journal of the Korean Mathematical Society
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• v.32 no.2
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• pp.195-210
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• 1995

Let $\Omega_n$ denote the set of all $n \times n$ doubly stochatic matrices. Then it is well known that $\Omega_n$ forms convex polytope of dimension $(n-1)^2$ with n! extreme points in the $n^2$-dimensional Euclidean space.

• East Asian mathematical journal
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• v.24 no.1
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• pp.67-79
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• 2008

In this paper, we characterize the chaotic operator order $A\;{\gg}\;C\;{\gg}\;B$. Consequently all other possible characterizations follow easily. Some satellite theorems of the Furuta inequality are naturally given. And finally, using results of characterizing $A\;{\gg}\;C\;{\gg}\;B$, and by the Douglas's majorization and factorization theorem we are able to characterize the chaotic operator order $A\;{\gg}\;B$ in terms of operator equalities.

• Journal of applied mathematics & informatics
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• v.35 no.1_2
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• pp.33-44
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• 2017

We review weighted power means of positive real numbers and see their properties including the convexity and concavity for weights. We study the mixed power means of positive real numbers related to majorization of weights, which gives us an extension of Muirhead's inequality. Furthermore, we generalize Holland's conjecture to the power means.

• Journal of the Korean Mathematical Society
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• v.60 no.3
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• pp.503-520
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• 2023

In this paper, using the theory of majorization, we discuss the Schur m power convexity for L-conjugate means of n variables and the Schur convexity for weighted L-conjugate means of n variables. As applications, we get several inequalities of general mean satisfying Schur convexity, and a few comparative inequalities about n variables Gini mean are established.