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 each $N...

Refining some results of S.S. Dragomir, several new reverses of the triangle in-

equality in inner product spaces are obtained.

The numerical inequality

\\begin{align*}

\\left(\\sum_{j=1}^n x_jy_j\\right)^2\\leq

\\sum_{j=1}^n x_j^{1+s}y_j^{1-s}\\sum_{j=1}^n x_j^{1-s}y_j^{1+s}

\\leq \\left(\\sum_{j=1}^n x_j^2\\right)\\left(\\sum_{j=1}^ny_j^2\\right...

While Professor J.E. Peˇcari´c and the interviewer are meeting each

other in three conferences in Iran, Hungary and Croatia, they had some conversations

concerning life, ideas and contributions of Professor ...

inequality. Finally we extend the

Alzer and Bennet inequalities to operators on Hilbert spaces....

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...