In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monot...

In the course of realizing certain triangle centers as points that minimize certain quantities, C. Kimberling and P. Moses, in Math. Mag. 85 (2012) 221–227, discovered an inequality in three variables that generalizes the Cauchy-Schwarz inequality, and made a conjecture regarding a generalization of that inequality to an arbitrary number of variables. In this paper, we give a proof of a stronge...

Let α (p, q, r) = inf (ku0kp kukq : u ∈W 1,p per (−1, 1) \ {0} , Z 1 −1 |u|r−2 u = 0 ) . We show that α (p, q, r) = α (p, q, q) if q ≤ rp+ r − 1 α (p, q, r) < α (p, q, q) if q > (2r − 1) p generalizing results of Dacorogna-Gangbo-Subía and others. 1 The main result In the present article we discuss the following minimization problem α (p, q, r) = inf ( kukp kukq : u ∈W 1,p per (−1, 1) \ {0} , Z...

A generalized simplified model for describing the dynamic behavior of distributed parameter systems is proposed. The various specific characteristics of gain and phase angle of distributed parameter systems are investigated from frequency response formulation and complex plane representation of the proposed simplified model. The complex plane investigation renders some important inequality cons...

One of the famous mathematical inequalities is Minkowski’s inequality. It is an important inequality from both mathematical and application points of view. In this paper, a Minkowski type inequality for fuzzy integrals is studied. The established results are based on the classical Minkowski inequality for integrals. Moreover, a generalized Minkowski type inequality for fuzzy integrals is sugges...

Reprints available directly from the publisher Photocopying permitted by license only (C) 1999 OPA (Overseas Publishers Association) N.V. In our preceding note, we discussed a generalized Schwarz inequality, an improvement of the Heinz-Kato-Furuta inequality and an inequality related to the Furuta inequality. In succession, we give further discussions on them from the viewpoint of the covarianc...

The Jensen inequality has been recognized as a powerful tool to deal with the stability of time-delay systems. Recently, a new inequality that encompasses the Jensen inequality was proposed for the stability analysis of systems with finite delays. In this paper, we first present a generalized integral inequality and its double integral extension. It is shown how these inequalities can be applie...

We consider the sum of squared logarithms inequality and investigate possible connections with the theory of majorization. We also discuss alternative sufficient conditions on two sets of vectors a,b ∈ R+ so that n ∑ i=1 (logai) n ∑ i=1 (logbi) . Generalizations of some inequalities from information theory are obtained, including a generalized information inequality and a generalized log sum in...

In this paper we will generalize a singular value inequality that was proved before. In particular we obtain an inequality for numerical radius as follows: begin{equation*} 2 sqrt{t (1-t)} omega(t A^{nu}B^{1-nu}+(1-t)A^{1-nu}B^{nu}) leq omega(t A + (1- t) B), end{equation*} where, $ A $ and $ B $ are positive semidefinite matrices, $ 0 leq t leq 1 $ and $ 0 leq nu leq frac{3}{2}.$