• 대한수학회논문집
• /
• 제20권3호
• /
• pp.487-503
• /
• 2005

Some companions of Gruss inequality in 2-inner product spaces and applications for determinantal integral inequalities are given.

• Journal of applied mathematics & informatics
• /
• 제20권1_2호
• /
• pp.279-292
• /
• 2006

A reverse of Bessel's inequality in 2-inner product spaces and companions of $Gr\ddot{u}ss$ inequality with applications for determinantal integral inequalities are given.

• Journal of applied mathematics & informatics
• /
• 제39권5_6호
• /
• pp.751-760
• /
• 2021

We study in this paper the right Rényi mean for a quantum divergence induced from the α - z Rényi relative entropy. Many properties including homogeneity, invariance under permutation, repetition and unitary congruence transformation, and determinantal inequality have been presented. Moreover, we give the identity of two right Rényi means with respect to tensor product.

• Kyungpook Mathematical Journal
• /
• 제48권2호
• /
• pp.207-222
• /
• 2008

A new counterpart of Bessel's inequality for orthonormal families in real or complex 2-inner product spaces is obtained. Applications for some Gr$\"{u}$ss inequality for determinantal integral inequalities are also provided.

• 대한수학회보
• /
• 제42권3호
• /
• pp.591-608
• /
• 2005

Some new reverses of Bessel's inequality for orthonormal families in real or complex 2-inner product spaces are pointed out. Applications for some Gruss type inequalities and for determinantal integral inequalities are given as well.

• Kyungpook Mathematical Journal
• /
• 제57권4호
• /
• pp.641-649
• /
• 2017

For partitioned matrices, the Khatri-Rao product is viewed as a generalized Hadamard product. In this paper we present Oppenheim's and Schur's determinantal inequalities for the Khatri-Rao product of two positive semidefinite matrices.