A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups
In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty approach. This benchmark study is about to construct new types of fuzzy soft ideals i.e., (∈, ∈ ∨qk)
Khan Faiz Muhammad +3 more
doaj +1 more source
A note on best approximation and invertibility of operators on uniformly convex Banach spaces
It is shown that if X is a uniformly convex Banach space and S a bounded linear operator on X for which ‖I − S‖ = 1, then S is invertible if and only if . From this it follows that if S is invertible on X then either (i) dist(I, [S]) < 1, or (ii) 0 is the unique best approximation to I from [S], a natural (partial) converse to the well‐known sufficient
James R. Holub
wiley +1 more source
Generalized Induced Norms [PDF]
Let ||.|| be a norm on the algebra M_n of all n-by-n matrices over the complex field C. An interesting problem in matrix theory is that "are there two norms ||.||_1 and ||.||_2 on C^n such that ||A||=max{||Ax||_2: ||x||_1=1} for all A in M_n.
C.-K. Li +7 more
core +2 more sources
Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.
Dragomir S. S.
doaj +1 more source
Schatten p-norm inequalities related to a characterization of inner product spaces
Let $A_1, ... A_n$ be operators acting on a separable complex Hilbert space such that $\sum_{i=1}^n A_i=0$. It is shown that if $A_1, ... A_n$ belong to a Schatten $p$-class, for some $p>0$, then 2^{p/2}n^{p-1} \sum_{i=1}^n \|A_i\|^p_p \leq \sum_{i,j=1 ...
Hirzallah, O. +2 more
core +2 more sources
Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality [PDF]
In this paper we obtain some operator inequalities for functions defined by power series with real coefficients and, more specifically, with non- negative coefficients.
Dragomir, Sever S
core +1 more source
Comportamento de híbridos de milho no Nordeste Brasileiro: safra 2009/2010. [PDF]
O presente trabalho teve por objetivo conhecer o comportamento de diversos híbridos simples de milho quando submetido a diferentes condições ambientais do Nordeste brasileiro, para fins de recomendação. Os ensaios foram realizados no ano agrícola de 2009/
CARDOSO, M. J. +8 more
core
Remarks on an operator Wielandt inequality
Let $A$ be a positive operator on a Hilbert space $\mathcal{H}$ with $00.$$ We consider several upper bounds for $\frac{1}{2}|\Gamma+\Gamma^{*}|$.
Zhang, Pingping
core +2 more sources
Estimates for an integral in Lp norm of the (n+1)-th derivative of its integrand [PDF]
Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are ...
Guo, Bai-Ni, Qi, Feng
core
Positivity of Partitioned Hermitian Matrices with Unitarily Invariant Norms
We give a short proof of a recent result of Drury on the positivity of a $3\times 3$ matrix of the form $(\|R_i^*R_j\|_{\rm tr})_{1 \le i, j \le 3}$ for any rectangular complex (or real) matrices $R_1, R_2, R_3$ so that the multiplication $R_i^*R_j$ is ...
Li, Chi-Kwong, Zhang, Fuzhen
core +1 more source

