‎Let $\\mathcal{H}$ be a Hilbert space and $\\mathbb{B}(\\mathcal{H})$ denotes the algebra of all bounded linear operators on $\\mathcal{H}$ and $A$ be a bounden operator in $\\mathcal{H}$‎. ‎Let $A,B\\in\\mathbb{B}(\\mathcal{H})$ ...

We investigate some relations between Kwong functions and operator monotone functions. As an application, we present an arithmetic–geometric mean type inequality by showing that for two continuous functions f, g on (0,∞)(0,∞) such that View...

Recently the behavior of operator monotone functions on unbounded intervals with respect to the relation of strictly positivity has been investigated. In this paper we deeply study such behavior not only for operator monotone functions but also...

$ is a $k$ variables operator convex function of order $(n_1,\\ldots,n_k)$ such that $m=n_1 n_2\\ldots n_k$‎. ‎Also‎, ‎if $f$ is an operator monotone function of order $n^{k+1}$‎, ‎then $\\phi$ is a $k$ variables operator monotone function of order $n...

In this paper, we provide several preservation results for Laplace transform ordering of residual lives (Lt-rl) under

the reliability operations convolutions, mixtures and series systems. We also show that this order ...

‎The aim of this paper is to find some sufficient conditions for positivity of block matrices of positive operators‎.

‎It is shown that for positive operators $A,B,C$ and for every non-negative operator monotone function $f$ on $‎

‎(0...

We investigate some properties of operator monotone functions. In particular,

we show that if f is a non-constant operator monotone function on an interval

J and A;B are self-adjoint operators with spectra in J such that A > B, then...

nonconstant operator monotone function....

In this paper, we obtain a new class of functions, which is developed via the Hermite--Hadamard inequality for convex functions. The well-known one-one correspondence between the class of operator monotone functions and operator connections declares...

)$ is an operator monotone function with $f (1) = 1$‎, ‎$f'(1)=\\mu$‎, ‎and associated mean $\\sigma$‎, ‎then for all operators $A$ and $B$ on a complex Hilbert space $\\mathscr{H}$ such that $0<A,B\\leq\\frac{1}{2}I$‎, ‎we have...