We derive the Levinson type generalization of the Jensen and the converse Jensen inequality for real Stieltjes measure, not necessarily positive. As a consequence, also the Levinson type generalization of the Hermite-Hadamard inequality is obtained. Similarly, we derive the Levinson type generalization of Giaccardi's inequality. The obtained results are then applied for establishing new mean-va...

Several new trace norm inequalities are established for 2n × 2n block matrices, in the special case where the four n × n blocks are diagonal. Some of the inequalities are non-commutative analogs of Hanner's inequality , others describe the behavior of the trace norm under reordering of diagonal entries of the blocks.

OBJECTIVE To assess international shortfall inequality in life expectancy at birth among women and men and the influence of geography and country income group. METHODS The authors used estimates of life expectancy at birth, by sex, for 12 five-year periods between 1950-1955 and 2005-2010 and estimates of population for the midpoints of each period from the World population prospects, 2008 rev...

In this paper, we will consider an arithmetic analogue of relative Bogomolov's inequality in [14]. We also establish arithmetic Riemann-Roch formulae for stable curves over regular arithmetic varieties and generically nite morphisms of arithmetic varieties.

In this paper a multivariate version of Hoeffding’s inequality is proved about the tail distribution of homogeneous polynomials of Rademacher functions with an optimal constant in the exponent of the upper bound. The proof is based on an estimate about the moments of homogeneous polynomials of Rademacher functions which can be considered as an improvement of Borell’s inequality in a most import...

In this paper, we will prove several new inequalities of Hardy type with explicit constants. The main results will be proved using generalizations of Opial's inequality.

In this paper we study the bounded perturbation resilience of the extragradient and the subgradient extragradient methods for solving a variational inequality (VI) problem in real Hilbert spaces. This is an important property of algorithms which guarantees the convergence of the scheme under summable errors, meaning that an inexact version of the methods can also be considered. Moreover, once a...

Quantum-dot cellular automata, is an extremely small size and a powerless nanotechnology. It is the possible alternative to current CMOS technology. Reversible QCA logic is the most important issue at present time to reduce power losses. This paper presents a novel reversible logic gate called the F-Gate. It is simplest in design and a powerful technique to implement reversible logic. A systema...

introduction the debate regarding the description on classification and nomenclature of the injury which includes olecranon fracture associated with radial neck fractures in children is ongoing. we report two pediatric cases that could not be classified in a monteggia-equivalents system and were treated with open reduction and k-wire fixation. the aim of this study was to perform a systematic r...