Articles

Fractional Hermite–Hadamard inequalities for \((s,m)\)-convex or s-concave functions

In this article, fractional integral is considered. Some new upper bounds of the distance between the middle and left of Hermite–Hadamard type inequalities for fractional integrals are established for

Authors: Tieyan Lian, Wei Tang and Rui Zhou

Quasi-maximum exponential likelihood estimator and portmanteau test of double \(\operatorname{AR}(p)\) model based on \(\operatorname{Laplace}(a,b)\)

Authors: Haiyan Xuan, Lixin Song, Un Cig Ji, Yan Sun and Tianjiao Dai

On Shepard–Gupta-type operators

A Gupta-type variant of Shepard operators is introduced and convergence results and pointwise and uniform direct and converse approximation results are given. An application to image compression improving a pr...

Authors: Umberto Amato and Biancamaria Della Vecchia

The asymptotic normality of internal estimator for nonparametric regression

In this paper, we aim to study the asymptotic properties of internal estimator of nonparametric regression with independent and dependent data. Under some weak conditions, we present some results on asymptotic...

Authors: Penghua Li, Xiaoqin Li and Liping Chen

Rough \({I}_{2}\)-lacunary statistical convergence of double sequences

Authors: Ömer Kişi and Erdinç Dündar

On the Lawson–Lim means and Karcher mean for positive invertible operators

This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean ...

Authors: Wenshi Liao, Pujun Long, Zemin Ren and Junliang Wu

A note on Marcinkiewicz integrals supported by submanifolds

In the present paper, we establish the boundedness and continuity of the parametric Marcinkiewicz integrals with rough kernels associated to polynomial mapping ...

Authors: Feng Liu

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

Authors: Huashui Zhan

Some properties of a T operator with B-M kernel in the complex Clifford analysis

Teodorescu operator, or T-operator, plays an important role in Vekua equation systems and the generalized analytic function theory. It is a generalized solution to the nonhomogeneous Dirac equation. The proper...

Authors: Zunfeng Li, Yuying Qiao and Nanbin Cao

M-estimation in high-dimensional linear model

We mainly study the M-estimation method for the high-dimensional linear regression model and discuss the properties of the M-estimator when the penalty term is a local linear approximation. In fact, the M-esti...

Authors: Kai Wang and Yanling Zhu

Discussion on the fixed point problems with constraint inequalities

In this paper, we introduce the concept of comparable complete metric spaces and consider some fixed point theorems for mappings in the setting of incomplete metric spaces. We obtain the results of Ansari et a...

Authors: Badr Alqahtani, Rahmatollah Lashkaripour, Erdal Karapınar and Javad Hamzehnejadi

A new model for solving stochastic second-order cone complementarity problem and its convergence analysis

In this paper, we mainly consider the stochastic second-order cone complementarity problem (SSOCCP). Due to the existence of stochastic variable, the SSOCCP may have no solutions. In order to deal with this pr...

Authors: Meiju Luo and Caihua Zhang

Common fixed point theorems for \((T,g)_{F}\)-contraction in b-metric-like spaces

Authors: Dakun Yu, Chunfang Chen and Hong Wang

Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables

For arrays of rowwise pairwise negative quadrant dependent random variables, conditions are provided under which weighted averages converge in mean to 0 thereby extending a result of Chandra, and conditions ar...

Authors: Tapas K. Chandra, Deli Li and Andrew Rosalsky

Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions

The aim of this is to give generating functions for new families of special numbers and polynomials of higher order. By using these generating functions and their functional equations, we derive identities and...

Authors: Yilmaz Simsek and Daeyeoul Kim

Approximation to the global solution of generalized Zakharov equations in \(\mathbf{R}^{2}\)

We consider the initial value problem for the two-dimensional generalized Zakharov equations which model the propagation of Langmuir waves in plasmas. It is obtained that the solutions of the two-dimensional g...

Authors: Shujun You

Duality in nonlinear programming problems under fuzzy environment with exponential membership functions

In this paper, we have established appropriate duality relations for a general nonlinear optimization problem under fuzzy environment, taking exponential membership functions and using the aspiration level app...

Authors: S. K. Gupta, D. Dangar, I. Ahmad and S. Al-Homidan

Existence of zero-order meromorphic solutions of certain q-difference equations

Authors: Yunfei Du, Zongsheng Gao, Jilong Zhang and Ming Zhao

An extended Hilbert’s integral inequality in the whole plane with parameters

By introducing independent parameters and interval variables, applying the weight functions and the technique of real analysis, an extended Hilbert’s integral inequality in the whole plane with parameters and ...

Authors: Leping He, Yin Li and Bicheng Yang

An improvement of the Lyapunov inequality for certain higher order differential equations

In this paper, we establish two Lyapunov inequalities for some half-linear higher order differential equations with anti-periodic boundary conditions. Our result improves that obtained by Wang (Appl. Math. Let...

Authors: Haidong Liu

New Poisson inequality for the Radon transform of infinitely differentiable functions

Poisson inequality for the Radon transform is a key tool in signal analysis and processing. An analogue of the Hardy–Littlewood–Poisson inequality for the Radon transform of infinitely differentiable functions...

Authors: Ziyao Sun

Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity

Authors: Liejun Shen

Functional version for Furuta parametric relative operator entropy

Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed. The theoretical results obtained by our functiona...

Authors: Mustapha Raïssouli and Shigeru Furuichi

On some nonlinear retarded Volterra–Fredholm type integral inequalities on time scales and their applications

In this paper, we establish some new nonlinear retarded Volterra–Fredholm type integral inequalities on time scales. Our results not only generalize and extend some known integral inequalities, but also provid...

Authors: Haidong Liu

The Choquet integral of log-convex functions

In this paper we investigate the upper bound and the lower bound of the Choquet integral for log-convex functions. Firstly, for a monotone log-convex function, we state the similar Hadamard inequality of the C...

Authors: Hongxia Wang

The spectral properties of \([m]\)-complex symmetric operators

In this paper, we introduce the class of [m]-complex symmetric operators and study various properties of this class. In particular, we show that if T is an [m]-complex symmetric operator, then

Authors: Junli Shen

Integral inequalities for some convex functions via generalized fractional integrals

In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generali...

Authors: Naila Mehreen and Matloob Anwar

A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions

Authors: Chengbo Zhai, Weixuan Wang and Hongyu Li

Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels

Authors: Junfei Cao, Bing He, Yong Hong and Bicheng Yang

Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings

In this paper, we present two iterative algorithms for approximating a solution of the split feasibility problem on zeros of a sum of monotone operators and fixed points of a finite family of nonexpansive mapp...

Authors: Narin Petrot, Montira Suwannaprapa and Vahid Dadashi

Small deviations for admixture additive & multiplicative processes

Authors: Mingjie Liang and Bingyao Wu

On effects of elasticity and magnetic fields in the linear Rayleigh–Taylor instability of stratified fluids

Authors: Yuping Chen, Weiwei Wang and Youyi Zhao

Approximation properties of λ-Kantorovich operators

Authors: Ana-Maria Acu, Nesibe Manav and Daniel Florin Sofonea

Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion

In this paper, we study the exponential stability in the pth moment of mild solutions to neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion:

Authors: Xinwen Zhang and Dehao Ruan

Convergence rate for the moving least-squares learning with dependent sampling

We consider the moving least-squares (MLS) method by the regression learning framework under the assumption that the sampling process satisfies the α-mixing condition. We conduct the rigorous error analysis by us...

Authors: Qin Guo and Peixin Ye

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

On \(\frac{1}{w} + \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{ 2} \) and some of its generalizations

Authors: Tingting Bai

Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples

In the present article, by utilizing some inequalities for linearly negative quadrant dependent random variables, we discuss the uniformly asymptotic normality of sample quantiles for linearly negative quadran...

Authors: Xueping Hu, Rong Jiang, Keming Yu and Tong Zhang

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

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

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

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

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

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

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

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

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

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