Lanthanum hydride (${\mathrm{LaH}}_{10}$) with a sodalitelike clathrate structure was experimentally synthesized to exhibit near-room-temperature superconductivity under megabar pressures. Based on first-principles density-functional theory calculations, we reveal that the metal framework of La atoms has excess electrons at interstitial regions. Such anionic are easily captured form stable H ca...

Abstract. We give an extension of Hua’s inequality in pre-Hilbert C∗-modules without using convexity or the classical Hua’s inequality. As a consequence, some known and new generalizations of this inequality are deduced. Providing a Jensen inequality in the content of Hilbert C∗-modules, another extension of Hua’s inequality is obtained. We also present an operator Hua’s inequality, which is eq...

We establish the classical Young inequality on time scales as follows: ab ≤ ∫ a 0 g (x) x + ∫ b 0 (g−1)σ (y) y if g ∈ Crd ([0, c],R) is strictly increasing with c > 0 and g(0) = 0, a ∈ [0, c], b ∈ [0, g(c)]. Using this inequality, we can extend Hőlder’s inequality and Minkowski’s inequality on time scales. © 2005 Elsevier Ltd. All rights reserved. MSC: primary 26D15

We introduce variational inequality problems on Hilbert $C^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. Then relation between variational inequalities, $C^*$-valued metric projection and fixed point theory  on  Hilbert $C^*$-modules is studied.

and Applied Analysis 3 which is called the general variational inequality, introduced and studied by Noor 19 . It has been shown that the minimum of a class of differentiable functions can be characterized by the general variational inequality of type 2.3 . B If g ≡ I, the identity operator, then 2.1 reduces to find u ∈ C and w ∈ A u such that 〈F u w,v − u〉 ≥ 0, ∀v ∈ C, 2.4 which is known as th...

introduction: based on human studies, inequality and social injustice have adverse effects on the individual and community health. in this study, the effects of food intake inequality and social status changes on pain perception and immunological factors were investigated in balb/c mice. methods: the present study was conducted by implementing different social stresses including food deprivatio...

Using a combinatorial approach, we introduce the translated Whitney numbers. This seems to be more natural than to write a product of anarithmetical progression in terms of a power variable and conversely. We also extend our ideas to translated r-Whitney numbers of both kinds and to translated Whitney-Lah numbers.