Recent Trends on Inequalities and its Applications

Functional equations and inequalities in matrix paranormed spaces

In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality, the Cauchy additive functional equation and the quadratic functional equation in matrix paranormed spaces.

Authors: Choonkil Park, Jung Rye Lee and Dong Yun Shin

Spaces of continuous and bounded functions over the field of geometric complex numbers

Authors: Zafer Cakir

The relation between A-harmonic operator and A-Dirac system

In this paper, we show how an A-harmonic operator arises from Dirac systems under controllable growth condition. By the method of removable singularities for solutions to the A-Dirac system with controllable g...

Authors: Zhanlei Wang and Shuhong Chen

Ostrowski-type inequalities via h-convex functions with applications to special means

In this paper, we establish some new Ostrowski-type inequalities for absolutely continuous mappings whose first derivatives in absolute value are h-convex (resp. h-concave) and which are super-multiplicative or s...

Authors: Mevlüt Tunç

Power series inequalities via Young’s inequality with applications

In this paper, we establish some inequalities for power series with real coefficients by utilizing Young’s inequality for sequences of complex numbers. Some applications for special functions such as polylogar...

Authors: Alawiah Ibrahim, Sever S Dragomir and Maslina Darus

Guaranteed cost control for switched recurrent neural networks with interval time-varying delay

This paper studies the problem of guaranteed cost control for a class of switched recurrent neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interv...

Authors: Piyapong Niamsup, Manlika Rajchakit and Grienggrai Rajchakit

Inequalities related to the third Jackson q-Bessel function of order zero

In Bettaibi and Bouzeffour (J. Math. Anal. Appl. 342:1203-1219, 2008), some properties of the third Jackson q-Bessel function of order zero were established. This paper is devoted to studying the q-convolution pr...

Authors: Hédi Elmonser, Mouna Sellami and Ahmed Fitouhi

Normal families of meromorphic functions sharing one function

Authors: Ling Qiu and FeiFei Hu

Refinements of Hermite-Hadamard type inequalities for operator convex functions

The purpose of this paper is to present some new versions of Hermite-Hadamard type inequalities for operator convex functions. We give refinements of Hermite-Hadamard type inequalities for convex functions of ...

Authors: Vildan Bacak and Ramazan Türkmen

Probability inequality concerning a chirp-type signal

Probability inequalities of random variables play important roles, especially in the theory of limiting theorems of sums of independent random variables. In this note, we give a proof of the following:

Authors: Kanthi Perera

Existence and uniqueness of periodic solutions of second-order nonlinear differential equations

This paper is concerned with the following second-order nonlinear differential equation:

Authors: Renwei Jia and Jianying Shao

Properties for certain subclasses of meromorphic functions defined by a multiplier transformation

Some inclusion and convolution properties of certain subclasses of meromorphic functions associated with a family of multiplier transformations, which are defined by means of the Hadamard product (or convoluti...

Authors: Nak Eun Cho and Min Yoon

On Chen invariants and inequalities in quaternionic geometry

In this paper we give a survey of main results concerning Chen inequalities for submanifolds in quaternionic space forms and propose some open problems in the field for further research.

Authors: Gabriel-Eduard Vîlcu

Cesáro partial sums of certain analytic functions

The aim of the present paper is to consider geometric properties such as starlikeness and convexity of the Cesáro partial sums of certain analytic functions in the open unit disk. By using the Cesáro partial s...

Authors: Rabha W Ibrahim and Maslina Darus

Application of a finite element method for variational inequalities

In this paper we explore the application of a finite element method (FEM) to the inequality and Laplacian constrained variational optimization problems. First, we illustrate the connection between the optimiza...

Authors: Mehmet Ali Akinlar

Some geometric properties of the metric space $V[\lambda ,p]$

Authors: Muhammed Çinar, Murat Karakaş and Mikail Et

Several integral inequalities and an upper bound for the bidimensional Hermite-Hadamard inequality

In this paper we prove several integral inequalities and we find an upper bound of the Hermite-Hadamard inequality for a convex function on a bounded area from the plane in special cases.

Authors: Gholamreza Zabandan and Adem Kılıçman

On a new application of almost increasing sequences

Authors: HS Özarslan and A Keten

A review on the assessment of polymeric materials used as corrosion inhibitor of metals and alloys

Corrosion control of metals is an important activity of technical, economical, environmental, and aesthetical importance. The use of inhibitors is one of the best options of protecting metals and alloys agains...

Authors: David Ebuka Arthur, Achika Jonathan, Paul Ocheje Ameh and Crystal Anya

Estimates of singular integrals and multilinear commutators in weighted Morrey spaces

Suppose T is a singular integral operator whose kernel is a variable kernel with mixed homogeneity; the purpose of this paper is to study the continuity of the operator in weighted Morrey spaces

Authors: Xiao Feng Ye and Xu Sheng Zhu