‎Corresponding to the concept of $p$-angular distance $\\alpha_p[x,y]:=\\left\\lVert\\lVert x\\rVert^{p-1}x-\\lVert y\\rVert^{p-1}y\\right\\rVert$‎, ‎we first introduce the notion of skew $p$-angular distance $\\beta_p[x ...

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 ...

‎In this paper‎, ‎we extend some significant Ky Fan type inequalities in a large setting to operators on Hilbert spaces and derive their equality conditions‎. ‎Among other things‎, ‎we prove that if $f:[0,\\infty)\\right ...

In this paper, we obtain integral bounds involving two different p-angular distances, which generalizes some results due to Dragomir from [S. S. Dragomir, New inequalities for the p-angular distance in normed spaces with ...

This paper focuses on Riemann sums for the functional calculus of bounded self-adjoint operaors. We first obtain some monotonicity properties of operator convex functions. Using these results we then refine an

operator ...

The aim of this paper is to present a comprehensive study of operator $m$-convex functions‎.

‎Let $m\\in[0,1]$ and $J=[0,b]$ for some $b\\in\\mathbb{R}$ or‎ ‎$J=[0,\\infty)$‎. ‎A continuous‎

‎function ...