# Journal of Inequalities and Applications

http://www.journalofinequalitiesandapplications.com/

## List of Papers (Total 3,365)

#### On properties of geodesic semilocal E-preinvex functions

The authors define a class of functions on Riemannian manifolds, which are called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functions, and some of its properties are established. Furthermore, a nonlinear fractional multiobjective programming is considered, where the functions involved are geodesic E...

#### Relaxed alternating CQ algorithms for the split equality problem in Hilbert spaces

In this paper, we are concerned with the split equality problem (SEP) in Hilbert spaces. By converting it to a coupled fixed-point equation, we propose a new algorithm for solving the SEP. Whenever the convex sets involved are level sets of given convex functionals, we propose two new relaxed alternating algorithms for the SEP. The first relaxed algorithm is shown to be weakly...

#### Certain new bounds considering the weighted Simpson-like type inequality and applications

We investigate a weighted Simpson-type identity and obtain new estimation-type results related to the weighted Simpson-like type inequality for the first-order differentiable mappings. We also present some applications to f-divergence measures and to higher moments of continuous random variables.

#### Some limit properties for a hidden inhomogeneous Markov chain

This paper presents a general strong limit theorem for delayed sum of functions of random variables for a hidden time inhomogeneous Markov chain (HTIMC), and as corollaries, some strong laws of large numbers for HTIMC are established thereby.

#### AE solutions to two-sided interval linear systems over max-plus algebra

This paper introduces a concept of AE solutions to two-sided interval max-plus linear systems, a rather general concept which includes many known concepts of solutions to interval systems, in particular, weak, strong, tolerance and control solutions as its special cases. We state full characterizations of AE solutions for the two-sided interval max-plus systems, including both...

#### Different types of quantum integral inequalities via ( α , m ) $(\alpha ,m)$ -convexity

In this paper, based on ( α , m ) $(\alpha,m)$ -convexity, we establish different type inequalities via quantum integrals. These inequalities generalize some results given in the literature.

#### Quadratic transformation inequalities for Gaussian hypergeometric function

In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities for the generalized Grötzsch ring function.

#### Inequalities involving hypergeometric and related functions

An inequality is being proved which is connected to cost-effective numerical density estimation of the hyper-gamma probability distribution. The left-hand side of the inequality is a combination of two in the third parameter distinct versions of the hypergeometric function at the point one. All three parameters are functions of the distribution’s terminal shape. The first and...

#### On the evolutionary p -Laplacian equation with a partial boundary value condition

Consider the equation u t = div ( d α | ∇ u | p − 2 ∇ u ) + ∂ b i ( u , x , t ) ∂ x i , ( x , t ) ∈ Ω × ( 0 , T ) , $${u_{t}} = \operatorname{div} \bigl(d^{\alpha} \vert \nabla u \vert ^{p - 2}\nabla u\bigr) + \frac{\partial b_{i}(u,x,t)}{\partial{x_{i}}},\quad (x,t) \in\Omega \times(0,T),$$ where Ω is a bounded domain, d ( x ) $d(x)$ is the distance function from the boundary...

#### An inequality for generalized complete elliptic integral

In this paper, we show an elegant inequality involving the ratio of generalized complete elliptic integrals of the first kind and generalize an interesting result of Alzer.

#### An algorithm for the split-feasibility problems with application to the split-equality problem

In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new algorithms for these problems. Finally, numerical results are given for our main results.

#### Two variables functionals and inequalities related to measurable operators

In this paper, we introduce two variables norm functionals of τ-measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz and Trace inequalities related to τ-measurable operators. Additionally, interpolated versions and their monotonicity will be presented as well.

#### New applications of Schrödinger type inequalities in the Schrödingerean Hardy space

As new applications of Schrödinger type inequalities obtained by Jiang (J. Inequal. Appl. 2016: Article ID 247, 2016) in the Schrödingerean Hardy space, we not only obtain the representation of Schrödingerean harmonic functions but also give a sufficient and necessary condition between the Schrödingerean distributional function and its derivative in the Schrödingerean Hardy space.

#### An inequality for generalized complete elliptic integral

In this paper, we show an elegant inequality involving the ratio of generalized complete elliptic integrals of the first kind and generalize an interesting result of Alzer.

#### An algorithm for the split-feasibility problems with application to the split-equality problem

In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new algorithms for these problems. Finally, numerical results are given for our main results.

#### A new look at classical inequalities involving Banach lattice norms

Some classical inequalities are known also in a more general form of Banach lattice norms and/or in continuous forms (i.e., for ‘continuous’ many functions are involved instead of finite many as in the classical situation). The main aim of this paper is to initiate a more consequent study of classical inequalities in this more general frame. We already here contribute by...

#### An inequality for generalized complete elliptic integral

In this paper, we show an elegant inequality involving the ratio of generalized complete elliptic integrals of the first kind and generalize an interesting result of Alzer.

#### An algorithm for the split-feasibility problems with application to the split-equality problem

In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new algorithms for these problems. Finally, numerical results are given for our main results.

#### A new look at classical inequalities involving Banach lattice norms

Some classical inequalities are known also in a more general form of Banach lattice norms and/or in continuous forms (i.e., for ‘continuous’ many functions are involved instead of finite many as in the classical situation). The main aim of this paper is to initiate a more consequent study of classical inequalities in this more general frame. We already here contribute by...

#### On a boundary property of analytic functions

Let f be an analytic function in the unit disc | z | < 1 $|z|<1$ on the complex plane C $\mathbb {C}$ . This paper is devoted to obtaining the correspondence between f ( z ) $f(z)$ and z f ′ ( z ) $zf'(z)$ at the point w, 0 < | w | = R < 1 $0<|w|=R< 1$ , such that | f ( w ) | = min { | f ( z ) | : f ( z ) ∈ ∂ f ( | z | ≤ R ) } \$|f(w)|=\min \{|f(z)|: f(z)\in\partial f(|z|\leq R...