Articles

Reducible problem for a class of almost-periodic non-linear Hamiltonian systems

This paper studies the reducibility of almost-periodic Hamiltonian systems with small perturbation near the equilibrium which is described by the following Hamiltonian system:

Authors: Muhammad Afzal, Tariq Ismaeel and Muhammad Jamal

Existence results for a coupled system of nonlinear fractional multi-point boundary value problems at resonance

By using the coincidence degree theory, we present an existence result for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions at resonance.

Authors: Yinghan Zhang

An improved approach for studying oscillation of second-order neutral delay differential equations

The paper is devoted to the study of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed arguments. New oscillation criteria are established, and they es...

Authors: Said R. Grace, Jozef Džurina, Irena Jadlovská and Tongxing Li

Spectral properties of an impulsive Sturm–Liouville operator

This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm–Liouville equation. We present a different method to investigate the spectr...

Authors: Elgiz Bairamov, Ibrahim Erdal and Seyhmus Yardimci

On the preconditioned GAOR method for a linear complementarity problem with an M-matrix

Recently, based on the Hadjidimos preconditioner, a preconditioned GAOR method was proposed for solving the linear complementarity problem (Liu and Li in East Asian J. Appl. Math. 2:94–107, 2012). In this paper, ...

Authors: Shu-Xin Miao and Dan Zhang

Metric characterizations for well-posedness of split hemivariational inequalities

In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations ...

Authors: Qiao-yuan Shu, Rong Hu and Yi-bin Xiao

Characterization and stability of approximately dual g-frames in Hilbert spaces

This paper addresses approximately dual g-frames. First, we establish a connection between approximately dual g-frames and dual g-frames and obtain a characterization of approximately dual g-frames. Second, we...

Authors: Yan-Ling Fu and Wei Zhang

A note on the almost-Schur lemma on smooth metric measure spaces

In this paper, we prove almost-Schur inequalities on closed smooth metric measure spaces, which implies the results of Cheng and De Lellis–Topping whenever the weighted function f is constant.

Authors: Jui-Tang Chen

Wavelet density estimation for mixing and size-biased data

This paper considers wavelet estimation for a multivariate density function based on mixing and size-biased data. We provide upper bounds for the mean integrated squared error (MISE) of wavelet estimators. It ...

Authors: Junke Kou and Huijun Guo

Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels

Authors: Zengyan Si and Qingying Xue

The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane

By utilizing the concept of generalized order, we investigate the growth of Laplace–Stieltjes transform converging in the half plane and obtain one equivalence theorem concerning the generalized order of Lapla...

Authors: Hong Yan Xu and Hua Wang

Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators

The aim of present work is to study some kinds of well-posedness for a class of generalized variational-hemivariational inequality problems involving set-valued operators. Some systematic approaches are presen...

Authors: Caijing Jiang

On a new discrete Mulholland-type inequality in the whole plane

A new discrete Mulholland-type inequality in the whole plane with a best possible constant factor is presented by introducing multi-parameters, applying weight coefficients, and using Hermite–Hadamard’s inequa...

Authors: Bicheng Yang and Qiang Chen

Covering functionals of cones and double cones

The least positive number γ such that a convex body K can be covered by m translates of γK is called the covering functional of K (with respect to m), and it is denoted by

Authors: Senlin Wu and Ke Xu

Some generalizations of inequalities for sector matrices

In this paper, we generalize some Schatten p-norm inequalities for accretive-dissipative matrices obtained by Kittaneh and Sakkijha. Moreover, we present some inequalities for sector matrices.

Authors: Chaojun Yang and Fangyan Lu

Some notes about one inequality with power functions

In this paper, we prove one inequality with power functions. A simplified form of the inequality was published as the problem 12024-02 in the American Mathematical Monthly.

Authors: Ladislav Matejíčka

Approximate weakly efficient solutions of set-valued vector equilibrium problems

In this paper, we introduce a new kind of approximate weakly efficient solutions to the set-valued vector equilibrium problems with constraints in locally convex Hausdorff topological vector spaces; then we di...

Authors: Jian Chen, Yihong Xu and Ke Zhang

Maximum norm error estimates of fourth-order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term

A compact finite difference (CFD) scheme is presented for the nonlinear Schrödinger equation involving a quintic term. The two discrete conservative laws are obtained. The unconditional stability and convergen...

Authors: Hanqing Hu and Hanzhang Hu

Simple form of a projection set in hybrid iterative schemes for non-linear mappings, application of inequalities and computational experiments

Some relaxed hybrid iterative schemes for approximating a common element of the sets of zeros of infinite maximal monotone operators and the sets of fixed points of infinite weakly relatively non-expansive map...

Authors: Li Wei and Ravi P. Agarwal

Differential equation and inequalities of the generalized k-Bessel functions

Authors: Saiful R. Mondal and Mohamed S. Akel

A new version of Carleson measure associated with Hermite operator

Authors: Jizheng Huang, Yaqiong Wang and Weiwei Li

An accelerating algorithm for globally solving nonconvex quadratic programming

To globally solve a nonconvex quadratic programming problem, this paper presents an accelerating linearizing algorithm based on the framework of the branch-and-bound method. By utilizing a new linear relaxatio...

Authors: Li Ge and Sanyang Liu

Inequalities for the fractional convolution operator on differential forms

The purpose of this paper is to derive some Coifman type inequalities for the fractional convolution operator applied to differential forms. The Lipschitz norm and BMO norm estimates for this integral type ope...

Authors: Zhimin Dai, Huacan Li and Qunfang Li

Several sharp inequalities about the first Seiffert mean

In this paper, we deal with the problem of finding the best possible bounds for the first Seiffert mean in terms of the geometric combination of logarithmic and the Neuman–Sándor means, and in terms of the geo...

Authors: Boyong Long, Ling Xu and Qihan Wang

Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions

Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound e...

Authors: Zhaowen Zheng, Yingjie Zhang and Jing Shao

Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence

In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. Our r...

Authors: Huanhuan Ma and Yan Sun

Some results of Heron mean and Young’s inequalities

In this paper, we will show some improvements of Heron mean and the refinements of Young’s inequalities for operators and matrices with a different method based on others’ results.

Authors: Changsen Yang and Yonghui Ren

Some bounds on the distance-sum-connectivity matrix

Authors: Gülistan Kaya Gök

The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space

In this paper, we construct an iterative method by a generalized viscosity explicit rule for a countable family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space. We prove strong conver...

Authors: Wongvisarut Khuangsatung and Pongsakorn Sunthrayuth

Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents

In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estim...

Authors: Jingshi Xu and Jinlai Zhu

Identities between harmonic, hyperharmonic and Daehee numbers

In this paper, we present some identities relating the hyperharmonic, the Daehee and the derangement numbers, and we derive some nonlinear differential equations from the generating function of a hyperharmonic...

Authors: Seog-Hoon Rim, Taekyun Kim and Sung-Soo Pyo

Consumption-portfolio choice with subsistence consumption and risk aversion change at retirement

This paper considers subsistence consumption of an economic agent both before and after retirement in analyzing the optimal consumption, portfolio, and retirement problem. We allow the relative risk aversion o...

Authors: Ho-Seok Lee

The closedness of shift invariant subspaces in \(L^{p,q} (\mathbb{R}^{d+1} )\)

Authors: Qingyue Zhang

Reverses of Ando’s and Hölder–McCarty’s inequalities

In this paper, we give some reverse-types of Ando’s and Hölder–McCarthy’s inequalities for positive linear maps, and positive invertible operators. For this purpose, we use a recently improved Young inequality...

Authors: Monire Hajmohamadi, Rahmatollah Lashkaripour and Mojtaba Bakherad

On a class of N-dimensional anisotropic Sobolev inequalities

Authors: Lirong Huang and Eugenio Rocha

Bounds on the domination number and the metric dimension of co-normal product of graphs

Authors: Imran Javaid, Shahid ur Rehman and Muhammad Imran

Hermite–Hadamard type inequalities for fractional integrals via Green’s function

In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, a...

Authors: Muhammad Adil Khan, Arshad Iqbal, Muhammad Suleman and Yu-Ming Chu

One kind hybrid character sums and their upper bound estimates

The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain sev...

Authors: Jianhong Zhao and Xiao Wang

The inverses of tails of the Riemann zeta function

Authors: Donggyun Kim and Kyunghwan Song

Mock theta functions and Appell–Lerch sums

Recently, Mortenson (Proc. Edinb. Math. Soc. 4:1–13, 2015) explored the bilateral series in terms of Appell–Lerch sums for the universal mock theta function ...

Authors: Bin Chen

Common fixed point results on an extended b-metric space

In this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems in the li...

Authors: Badr Alqahtani, Andreea Fulga and Erdal Karapınar

New Poisson–Sch type inequalities and their applications in quantum calculus

The Poisson type inequalities, which were improved by Shu, Chen, and Vargas-De-Teón (J. Inequal. Appl. 2017:114, 2017), are generalized by using Poisson identities involving modified Poisson kernel functions with...

Authors: Tao Liu, Xinjuan Chen and Yifan Xing

Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices

In the paper, the authors establish some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices and modify shortcomings of some known inequalities for generalized eigenvalues i...

Authors: Yan Hong, Dongkyu Lim and Feng Qi

Weighted arithmetic–geometric operator mean inequalities

In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A

Authors: Jianming Xue

A new sequence related to the Euler–Mascheroni constant

In this paper, we provide a new quicker sequence convergent to the Euler–Mascheroni constant using an approximation of Padé type. Our sequence has a relatively simple form and higher speed of convergence. More...

Authors: Shanhe Wu and Gabriel Bercu

About some exponential inequalities related to the sinc function

In this paper, we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents and inequalities with certain polynomial exponents. Also, we establi...

Authors: Marija Rašajski, Tatjana Lutovac and Branko Malešević

Generalized Jacobi–Weierstrass operators and Jacobi expansions

We present a realization for some K-functionals associated with Jacobi expansions in terms of generalized Jacobi–Weierstrass operators. Fractional powers of the operators as well as results concerning simultaneou...

Authors: José A. Adell, Jorge Bustamante, Juan J. Merino and José M. Quesada

Majorization involving the cyclic moving average

We solve an open problem on some majorization inequalities involving the cyclic moving average.

Authors: Tao Zhang, Huan-Nan Shi, Bo-Yan Xi and Alatancang Chen

Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials

In this paper, we consider sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials and derive Fourier series expansions of functions associated with them. From these Fo...

Authors: Taekyun Kim, Dae San Kim, Dmitry V. Dolgy and Jin-Woo Park

Refining trigonometric inequalities by using Padé approximant

A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker–Stark inequality, and Wu–Srivastava inequality...

Authors: Zhen Zhang, Huaqing Shan and Ligeng Chen