In this article, we prove several multi-term refinements of Young type inequalities for both real numbers and operators improving several known results. Among other results, we prove that for all $0\\leq \\nu\\leq 1$ and ...

Let mathcal{C}_p be the Schatten p -class for p>0 .

Generalizations of the parallelogram law for the Schatten 2 -norms have been given in the following form:

If mathbf{A}= {A_1,A_2, ldots,A_n } and ...

We utilize some $2 \\times 2$ matrix tricks to obtain several unitarily invariant norm inequalities corresponding to the L\\"{o}wner--Heinz inequality, the arithmetic--geometric mean inequality and the Corach--Porta--Recht inequality...

For a normed linear space (X, | cdot |) and p>0 we characterize all

n -tuples ( mu_1, cdots, mu_n) in mathbb{R}^{n} for which the

generalized triangle inequality of the second type

|x_1+ ...

For a probability measure mu and for square integrable fields

( mathscr{A}_t) and ( mathscr{B}_t) ( t\\\\in\\\\Omega ) of commuting

normal operators we prove Landau type inequality

...

In this article, we present several inequalities treating operator means and the Cauchy-Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of ...

‎The main goal of this article is to present several quadratic refinements and reverses of the well known Heinz inequality‎, ‎for numbers and matrices‎, ‎where the refining term is a quadratic function in the mean parameters‎. ...

In this paper, we first give some characterizations for P-class functions. Then

giving a Hermite–Hadamard type inequality for P-class functions, we prove equivalency of

some significant metrics in normed ...