Articles

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

Authors: Guangwei Du, Kelei Zhang and Yan Dong

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

High order approximation of degree nine and order eighteen

In this paper, a method to approximate curves by polynomials of degree nine is presented. The resulting approximation has order eighteen. The method is applied to approximate a circular arc, and the error func...

Authors: Abedallah Rababah

Some results on quantum Hahn integral inequalities

Authors: Suphawat Asawasamrit, Chayapat Sudprasert, Sotiris K. Ntouyas and Jessada Tariboon

Stability analysis for uncertain neutral-type stochastic nonlinear systems with mixed time-varying delays

This study investigates the robust stability problem in the presence of uncertain parameters for a class of stochastic neutral-type systems with mixed time-varying delays, where external disturbance and nonlin...

Authors: Tengyu Ma and Longsuo Li

Parameters and fractional factors in different settings

In computer networks, the feasibility of data transmission can be measured in terms of fractional factor model, and specifically the framework of fractional critical deleted graph can express the setting when ...

Authors: Wei Gao and Juan L. G. Guirao

A logarithmic estimate for harmonic sums and the digamma function, with an application to the Dirichlet divisor problem

Authors: G. J. O. Jameson

Positive solutions for a new class of Hadamard fractional differential equations on infinite intervals

In the present article, the following nonlinear problem of new Hadamard fractional differential equations on an infinite interval

Authors: Shunyong Li and Chengbo Zhai

On Lyapunov-type inequalities for odd order boundary value problems

In this article, we construct new Lyapunov-type inequalities for odd order boundary value problems. The aim of this article is to find the maximum of Green’s function ...

Authors: Mustafa Fahri Aktaş, Devrim Çakmak and Abdullah Ahmetoğlu

Split proximal linearized algorithm and convergence theorems for the split DC program

In this paper, we study the split DC program by using the split proximal linearized algorithm. Further, linear convergence theorem for the proposed algorithm is established under suitable conditions. As applic...

Authors: Chih-Sheng Chuang and Chi-Ming Chen

Strictly contractive Peaceman–Rachford splitting method to recover the corrupted low rank matrix

The strictly contractive Peaceman–Rachford splitting method (SC-PRSM) attracts much attention on solving the separable convex programming. In this paper, the SC-PRSM is first applied to recover the corrupted l...

Authors: Zheng-Fen Jin, Zhongping Wan and Zhiyong Zhang

Two variable higher-order central Fubini polynomials

Recently, the central Fubini polynomials were introduced in connection with central factorial numbers of the second kind. In this paper, we consider two variable higher-order central Fubini polynomials as a ‘c...

Authors: Taekyun Kim, Dae San Kim, Gwan-Woo Jang and Dojin Kim

Jungck type fixed point results for weakly compatible mappings in a rectangular soft metric space

The main objectives of the current study are to explore and to express the proof of some common fixed point theorems by using commuting maps in rectangular soft metric spaces. We obtain some common fixed point...

Authors: Simge Öztunç and Sedat Aslan

A Schrödinger-type algorithm for solving the Schrödinger equations via Phragmén–Lindelöf inequalities

In this article, we consider the numerical method for solving the Schrödinger equations via Phragmén–Lindelöf inequalities under the order induced by a symmetric cone with the function involved being monotone....

Authors: Lingling Zhao

Strong laws of large numbers for general random variables in sublinear expectation spaces

In this paper, we obtain the equivalent relations between Kolmogorov maximal inequality and Hájek–Rényi maximal inequality both in moment and capacity types in sublinear expectation spaces. Based on these, we ...

Authors: Weihuan Huang and Panyu Wu

Parameterized discrete Hilbert-type inequalities with intermediate variables

By means of the weight coefficients and the idea of introducing parameters, a discrete Hilbert-type inequality with the general homogeneous kernel and the intermediate variables is given. The equivalent form i...

Authors: Ricai Luo and Bicheng Yang

Convergence analysis of a variable metric forward–backward splitting algorithm with applications

The forward–backward splitting algorithm is a popular operator-splitting method for solving monotone inclusion of the sum of a maximal monotone operator and an inverse strongly monotone operator. In this paper...

Authors: Fuying Cui, Yuchao Tang and Chuanxi Zhu

The interpolation of Young’s inequality using dyadics

In this article we interpolate Young’s inequality using a delicate treatment of dyadics. Although there are other simple methods to prove these results, we present this new approach hoping to reveal more of th...

Authors: Mohammad Sababheh and Abdelrahman Yousef

A general slicing inequality for measures of convex bodies

Authors: Yufeng Yu

The method of lower and upper solutions for the cantilever beam equations with fully nonlinear terms

Authors: Yongxiang Li and Yabing Gao

Generalized fractional integral inequalities of Hermite–Hadamard type for \({(\alpha,m)}\)-convex functions

Authors: Feng Qi, Pshtiwan Othman Mohammed, Jen-Chih Yao and Yong-Hong Yao

On weighted cumulative past (residual) inaccuracy for record values

In this paper, we propose the weighted cumulative past (residual) inaccuracy for record values. For this concept, we obtain some properties and characterization results such as relationships with other reliabi...

Authors: Safieh Daneshi, Ahmad Nezakati and Saeid Tahmasebi

On extreme points and product properties of a new subclass of p-harmonic functions

In this paper, we introduce a new subclass of p-harmonic functions and investigate the univalence and sense-preserving, extreme points, distortion bounds, convex combination, neighborhoods of mappings belonging t...

Authors: Shu-Hai Li, Huo Tang and Xiao-Meng Niu

The convergence of \((p,q)\)-Bernstein operators for the Cauchy kernel with a pole via divided difference

Authors: Faisal Khan, Mohd Saif, Aiman Mukheimer and M. Mursaleen