Articles

The obstacle problem for non-coercive equations with lower order term and \(L^{1}\)-data

Authors: Jun Zheng

Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions

In this paper we use the fixed point index to study the existence of positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions. Here...

Authors: Jiqiang Jiang, Donal O’Regan, Jiafa Xu and Zhengqing Fu

A predictor-corrector iterative method for solving linear least squares problems and perturbation error analysis

Authors: Suzan C. Buranay and Ovgu C. Iyikal

Intuitionistic fuzzy I-convergent Fibonacci difference sequence spaces

Fibonacci difference matrix was defined by Kara in his paper (Kara in J. Inequal. Appl. 2013:38 2013). Recently, Khan et al. (Adv. Differ. Equ. 2018:199, 2018) using the Fibonacci difference matrix F̂ and ideal c...

Authors: Vakeel A. Khan, Emrah E. Kara, Henna Altaf, Nazneen Khan and Mobeen Ahmad

Some new Hermite–Hadamard type inequalities for s-convex functions and their applications

In this paper, we establish some new integral inequalities of Hermite–Hadamard type for s-convex functions by using the Hölder–İşcan integral inequality. We also compare our new results with the known results and...

Authors: Serap Özcan and İmdat İşcan

On decay and blow-up of solutions for a system of viscoelastic equations with weak damping and source terms

In this article, we investigate a system of two viscoelastic equations with Dirichlet boundary conditions. Under some suitable assumptions on the function ...

Authors: Luofei He

Generalized Steffensen’s inequality by Montgomery identity

By using generalized Montgomery identity and Green functions we proved several identities which assist in developing connections with Steffensen’s inequality. Under the assumptions of n-convexity and n-concavity ...

Authors: Saad Ihsan Butt, Asfand Fahad, Adil Naseer and Josip Pečarić

Approximations of the generalized-Euler-constant function and the generalized Somos’ quadratic recurrence constant

Authors: Aimin Xu

Properties of a class of mean dependent on a parameter

Authors: Paul Bracken

Cyclic Brunn–Minkowski inequalities for general width and chord-integrals

In this paper, we establish two cyclic Brunn–Minkowski inequalities for the general ith width-integrals and general ith chord-integrals, respectively. Our works bring the cyclic inequality and Brunn–Minkowski ine...

Authors: Linmei Yu, Yuanyuan Zhang and Weidong Wang

The global proof of the Polak–Ribière–Polak algorithm under the YWL inexact line search technique

This paper presents a new proof method about the paper (Yuan et al. in Appl. Math. Model. 47:811–825, 2017). In the proof, the global convergence of the Polak–Ribière–Polak algorithm is established without these ...

Authors: Xiangrong Li, Tianshan Yang and Xiaoliang Wang

Inequalities for \(\mathbb{B}\)-convex functions via generalized fractional integral

Recently, fractional calculus has become a very popular and important area. Specially, fractional integral inequalities have been studied by different authors. In this article, we give new Hermite–Hadamard typ...

Authors: Ilknur Yesilce

A regularized alternating direction method of multipliers for a class of nonconvex problems

In this paper, we propose a regularized alternating direction method of multipliers (RADMM) for a class of nonconvex optimization problems. The algorithm does not require the regular term to be strictly convex...

Authors: Jin Bao Jian, Ye Zhang and Mian Tao Chao

New refinements of the Hadamard inequality on coordinated convex function

In this paper, new refinements of the Hadamard inequality on coordinated convex function are established. Besides, a simple proof of the Hadamard type for linear functions is also found. Moreover, some example...

Authors: Ahoud Almutairi and Adem Kılıçman

Functional approximation in Besov space using generalized Nörlund–Hausdorff product matrix

Authors: H. K. Nigam and Md. Hadish

Min–sup-type zero duality gap properties for DC composite optimization problem

In this paper, we present min–sup-type zero duality gap properties for DC composite optimization problem with conic constraints. Using properties of the subdifferentials of involved functions, we introduce som...

Authors: Li Ping Tian and Dong Hui Fang

Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case

This paper is devoted to the analysis of the oscillatory behavior of Euler type linear and half-linear differential equations. We focus on the so-called conditional oscillation, where there exists a borderline...

Authors: Zuzana Došlá, Petr Hasil, Serena Matucci and Michal Veselý

Wavelet estimation of copula function based on censored data

In this paper, we consider wavelet analysis to obtain an estimator of a copula function based on censored data. We show that optimal convergence rates for the mean integrated squared error (MISE) of linear wav...

Authors: Bahareh Ghanbari, Masoud Yarmohammadi, Narges Hosseinioun and Esmaeil Shirazi

Anti-periodic solutions problem for inertial competitive neutral-type neural networks via Wirtinger inequality

By using the Wirtinger inequality and topology degree theory, we investigate the anti-periodic solutions problem for inertial competitive neutral-type neural networks and obtain the existence of anti-periodic ...

Authors: Bo Du

Comment on the work of Zhang et al. (2017, Journal of Inequalities and Applications)

In a recent work by Zhang et al. (J. Inequal. Appl. 2017:82, 2017) the authors studied large deviations of the aggregate amount of claims in a size-dependent renewal risk model. They claimed that they obtained a ...

Authors: Yiqing Chen

m-Isometric block Toeplitz operators

In this paper, we study m-isometric block Toeplitz operators with trigonometric symbols. In addition, we give a necessary and sufficient condition for block Toeplitz operators with trigonometric polynomial symbol...

Authors: Eungil Ko and Jongrak Lee

Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems

Authors: Guangwei Du, Kelei Zhang and Yan Dong

On a more accurate reverse Mulholland-type inequality with parameters

By the use of the weight coefficients, the idea of introducing parameters and Hermite–Hadamard’s inequality, a more accurate reverse Mulholland-type inequality with parameters and the equivalent forms are give...

Authors: Leping He, Hongyan Liu and Bicheng Yang

Sufficient conditions to solve two systems of integral equations via fixed point results

The purpose of this paper is to study the solution of two systems of nonlinear integral equations via fixed point results in a complete dislocated b-metric space. Also the notion of graphic contractions on a clos...

Authors: Tahair Rasham, Abdullah Shoaib, Giuseppe Marino, Badriah A. S. Alamri and Muhammad Arshad

A note on type 2 q-Bernoulli and type 2 q-Euler polynomials

As is well known, power sums of consecutive nonnegative integers can be expressed in terms of Bernoulli polynomials. Also, it is well known that alternating power sums of consecutive nonnegative integers can b...

Authors: Dae San Kim, Taekyun Kim, Han Young Kim and Jongkyum Kwon

Uniform attractors for the non-autonomous suspension bridge equation with time delay

In this paper, we investigate the existence of a uniform attractor for the non-autonomous suspension bridge equation with time delay by using the energy function and uniform asymptotic compactness of the process.

Authors: Su-ping Wang and Qiao-zhen Ma

Cauchy–Bunyakovsky–Schwarz type inequalities related to Möbius operations

We show some Cauchy–Bunyakovsky–Schwarz type inequalities related to the Möbius operations in complex inner product spaces which are extensions of a similar type inequality obtained recently, and we discuss so...

Authors: Keiichi Watanabe

Multiple stability and instability of Cohen–Grossberg neural network with unbounded time-varying delays

In this paper, multiple stability and instability of Cohen–Grossberg neural network with unbounded time-varying delays are studied. Based on the geometrical configuration of activation functions and some rigor...

Authors: Yanheng Chen and Songfang Jia

An improvement of the infinity norm bound for the inverse of \(\{P_{1},P_{2}\}\)-Nekrasov matrices

Authors: Yaqiang Wang and Lei Gao

General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete \(\operatorname{CAT}(0)\) spaces

It is well known that the concept (generalized) asymptotically nonexpansive is closely related to the theory of fixed points in Banach spaces, and the implicit midpoint rule is one of the powerful numerical me...

Authors: Ting-jian Xiong and Heng-you Lan

Riesz transforms on the Hardy space associated with generalized Schrödinger operators

Authors: Yixin Wang and Pengtao Li

Iterative methodology on locating a cement plant

In this study, a cement plant location was determined by considering essential parameters such as the locations of resources and their importance in the manufacturing process. A crucial mathematical problem, n...

Authors: Emre Demir and Niyazi Ugur Kockal

Convergence rates of wavelet density estimation for negatively dependent sample

In this paper, linear and nonlinear wavelet estimators are defined for a density in a Besov space based on a negatively dependent random sample, and their upper bounds on ...

Authors: Junlian Xu

The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system

The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative...

Authors: Jianzhou Liu, Juan Zhang and Hao Huang

Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces

A number of classical inequalities and convergence results related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of Lo...

Authors: G. Akishev, L. E. Persson and A. Seger

Some inequality techniques in handling fixed point problems on unbounded sets via homotopy methods

As is well known, fixed point theorems and problems play important roles in differential equations, mathematical programming, control, and so on. In this paper, by providing some unboundedness conditions and b...

Authors: Menglong Su and Mingji Liu

Parallel hybrid viscosity method for fixed point problems, variational inequality problems and split generalized equilibrium problems

In this paper, we first propose a new parallel hybrid viscosity iterative method for finding a common element of three solution sets: (i) finite split generalized equilibrium problems; (ii) finite variational ...

Authors: Qingqing Cheng

Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean

Authors: Wei-Mao Qian, Zai-Yin He, Hong-Wei Zhang and Yu-Ming Chu

Transpose of Nörlund matrices on the domain of summability matrices

Authors: Gholamreza Talebi

A kind of sharp Wirtinger inequality

Authors: Guiqiao Xu, Zehong Liu and Wanting Lu

Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions

We study the existence and uniqueness of solutions for coupled sequential fractional differential equations involving Caputo fractional derivative of order ...

Authors: Nazim I. Mahmudov and Areen Al-Khateeb

Common fixed point results in function weighted metric spaces

In this paper, we consider a common fixed point result in the context of a very recently defined abstract space: “function weighted metric space”. We present also some examples to illustrate the validity of th...

Authors: Obaid Alqahtani, Erdal Karapınar and Priya Shahi

Inequalities for curvature integrals in Euclidean plane

Authors: Zengle Zhang

Association of Jensen’s inequality for s-convex function with Csiszár divergence

In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational di...

Authors: Muhammad Adil Khan, Muhammad Hanif, Zareen Abdul Hameed Khan, Khurshid Ahmad and Yu-Ming Chu

On Gardner–Hartenstine’s inequality

In the paper, we give a new generalization of Gardner–Hartenstine inequality and establish its integral form. As applications, we combine an important inequality and give some broader improvements.

Authors: Chang-Jian Zhao and Wing-Sum Cheung

Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials

In this paper, we investigate some properties and identities for degenerate Euler polynomials in connection with degenerate Bernstein polynomials by means of fermionic p-adic integrals on ...

Authors: Won Joo Kim, Dae San Kim, Han Young Kim and Taekyun Kim

On conjectures of Stenger in the theory of orthogonal polynomials

Authors: Walter Gautschi and Ernst Hairer

Weighted inequalities for fractional Hardy operators and commutators

Authors: Wenming Li, Dong Liu and Jing Liu

A modified singular Trudinger–Moser inequality

Authors: Yamin Wang

Retraction Note: A sharp Trudinger type inequality for harmonic functions and its applications

The Editors-in-Chief have retracted this paper [1] because its results are invalid. The paper also shows significant overlap with a paper by Yang et al. [2], which was simultaneously under consideration with a...

Authors: Yili Tan, Yongli An, Hong Wang and Jing Liu