Articles

Stancu type q-Bernstein operators with shifted knots

In the present paper, Stancu type generalizations of the q-analog of Lupaş Bernstein operators with shifted knots are introduced. Some approximation results and rate of convergence for these operators are investi...

Authors: M. Mursaleen, Mohd Qasim, Asif Khan and Zaheer Abbas

Least-squares-based three-term conjugate gradient methods

In this paper, we first propose a new three-term conjugate gradient (CG) method, which is based on the least-squares technique, to determine the CG parameter, named LSTT. And then, we present two improved vari...

Authors: Chunming Tang, Shuangyu Li and Zengru Cui

A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces

In this paper, we introduce an algorithm for solving classical variational inequalities problem with Lipschitz continuous and monotone mapping in Banach space. We modify the subgradient extragradient methods w...

Authors: Fei Ma

A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization

In this paper, a fractional model is used to solve nonlinearly constrained optimization problems. In order to solve the fractional trust region subproblems simply, we propose an approximated solution method by...

Authors: Honglan Zhu, Qin Ni and Xuebing Zhang

Positive periodic solutions for multiparameter nonlinear differential systems with delays

Authors: Ruipeng Chen and Xiaoya Li

Some identities for degenerate complete and incomplete r-Bell polynomials

In this paper, we study degenerate complete and incomplete r-Bell polynomials. They are generalizations of the recently introduced degenerate r-Bell polynomials and degenerate analogues for the complete and incom...

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

Existence of rotating-periodic solutions for nonlinear second order vector differential equations

In this paper, we establish two existence theorems of rotating-periodic solutions for nonlinear second order vector differential equations via the Leray–Schauder degree theory and the lower and upper solutions...

Authors: Jin Zhang and Xue Yang

Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions

In this paper, we prove new complete monotonicity properties of some functions related to generalized k-gamma and k-polygamma functions. Applications of the results yield various new inequalities. In the end, dou...

Authors: Ju-Mei Zhang, Li Yin and Hong-Lian You

Positive solutions for a system of 2nth-order boundary value problems involving semipositone nonlinearities

In this paper we use the fixed point index to study the existence of positive solutions for a system of 2nth-order boundary value problems involving semipositone nonlinearities.

Authors: Xinan Hao, Donal O’Regan and Jiafa Xu

A double inequality for tanhx

Authors: Bo Zhang and Chao-Ping Chen

Estimation of the mean of the partially linear single-index errors-in-variables model with missing response variables

In this paper, we estimate the mean of the partially linear single-index errors-in-variables model with missing response variables. The linear covariate is measured with additive error, therefore missing is no...

Authors: Xin Qi and ZhuoXi Yu

Existence of positive ground state solutions to a nonlinear fractional Schrödinger system with linear couplings

Authors: Xinsheng Du, Anmin Mao and Ke Liu

On a new extended half-discrete Hilbert’s inequality involving partial sums

By applying the weight functions, the idea of introducing parameters, and Euler–Maclaurin summation formula, a new extended half-discrete Hilbert’s inequality with the homogeneous kernel and the beta, gamma fu...

Authors: Xing Shou Huang, Ricai Luo and Bicheng Yang

A spectral element Crank–Nicolson model to the 2D unsteady conduction–convection problems about vorticity and stream functions

In this study, a time semi-discretized Crank–Nicolson (CN) scheme of the two-dimensional (2D) unsteady conduction–convection problems for vorticity and stream functions is first built together with showing the...

Authors: Fei Teng, Taiying Zhu and Zhendong Luo

Retraction Note: New applications of the existence of solutions for equilibrium equations with Neumann type boundary condition

The Editors-in-Chief have retracted this article [1] because it shows evidence of both authorship and peer review manipulation. In addition, the identity of the corresponding author could not be verified: Univ...

Authors: Zhaoqi Ji, Tao Liu, Hong Tian and Tanriver Ülker

Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments

In this paper, we consider nonlinear density-dependent mortality Nicholson’s blowflies system involving patch structures and asymptotically almost periodic environments. By developing an approach based on diff...

Authors: Chaofan Qian and Yuhui Hu

Inertial hybrid algorithm for variational inequality problems in Hilbert spaces

For a variational inequality problem, the inertial projection and contraction method have been studied. It has a weak convergence result. In this paper, we propose a strong convergence iterative method for fin...

Authors: Ming Tian and Bing-Nan Jiang

On generalized strongly modified h-convex functions

We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequal...

Authors: Taiyin Zhao, Muhammad Shoaib Saleem, Waqas Nazeer, Imran Bashir and Ijaz Hussain

A prediction-correction inexact alternating direction method for convex nonlinear second-order cone programming with linear constraints

The convex nonlinear second-order cone programming with linear constraints is equivalent to a separate structure convex programming. A prediction-correction inexact alternating direction method is proposed for...

Authors: Yaling Zhang and Hongwei Liu

Two inequalities for the associated Pollaczek polynomials

In this paper, we prove two concise inequalities for the associated Pollaczek polynomials. The first one is obtained by using Askey’s theorem (SIAM J. Math. Anal. 2:340–346, 1971) on orthogonal expansions with po...

Authors: Min-Jie Luo and Ravinder Krishna Raina

On Cauchy–Schwarz inequality for N-tuple diamond-alpha integral

In this paper, we present some new Cauchy–Schwarz inequalities for N-tuple diamond-alpha integral on time scales. The obtained results improve and generalize some Cauchy–Schwarz type inequalities given by many au...

Authors: Xi-Mei Hu, Jing-Feng Tian, Yu-Ming Chu and Yan-Xia Lu

New results on global asymptotic stability for a nonlinear density-dependent mortality Nicholson’s blowflies model with multiple pairs of time-varying delays

This paper is concerned with a class of Nicholson’s blowflies model involving nonlinear density-dependent mortality terms and multiple pairs of time-varying delays. By using differential inequality techniques ...

Authors: Qian Cao, Guoqiu Wang, Hong Zhang and Shuhua Gong

Two multi-cubic functional equations and some results on the stability in modular spaces

In this article, we study n-variable mappings which are cubic in each variable. We also show that such mappings can be described by an equation, say, multi-cubic functional equation. Furthermore, we study the sta...

Authors: Choonkil Park and Abasalt Bodaghi

On a new Hilbert-type integral inequality involving the upper limit functions

By applying the weight functions and the idea of introduced parameters we give a new Hilbert-type integral inequality involving the upper limit functions and the beta and gamma functions. We consider equivalen...

Authors: Hongmin Mo and Bicheng Yang

On a class of generalized stochastic Browder mixed variational inequalities

In this paper, we introduce a class of stochastic variational inequalities generated from the Browder variational inequalities. First, the existence of solutions for these generalized stochastic Browder mixed ...

Authors: Chao Min, Fei-fei Fan, Zhao-zhong Yang and Xiao-gang Li

On HT-convexity and Hadamard-type inequalities

In the paper, the authors define a new notion of “HT-convex function”, present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and d...

Authors: Shu-Ping Bai, Shu-Hong Wang and Feng Qi

Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters

We consider a class of Caputo fractional p-Laplacian differential equations with integral boundary conditions which involve two parameters. By using the Avery–Peterson fixed point theorem, we obtain the existence...

Authors: Luchao Zhang, Weiguo Zhang, Xiping Liu and Mei Jia

A note on the boundedness of sublinear operators on grand variable Herz spaces

In this paper, we introduce grand variable Herz type spaces using discrete grand spaces and prove the boundedness of sublinear operators on these spaces.

Authors: Hammad Nafis, Humberto Rafeiro and Muhammad Asad Zaighum

Estimation of unknown function of nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type

Some new nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type are given. The estimations of unknown functions are obtained by analysis techniques. These estimates are very signifi...

Authors: Ran Yan and Fanwei Meng

Generalizations and refinements of three-tuple Diamond-Alpha integral Hölder’s inequality on time scales

In this paper, based on the existing Hölder’s inequality, some new three-tuple diamond-alpha integral Hölder’s inequalities on time scales are proposed and the related theorems and corollaries are given. At th...

Authors: Fei Yan and Jianfeng Wang

Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications

In the article, we present several Hermite–Hadamard type inequalities for the co-ordinated convex and quasi-convex functions and give an application to the product of the moment of two continuous and independe...

Authors: Muhammad Amer Latif, Saima Rashid, Silvestru Sever Dragomir and Yu-Ming Chu

On stability of generalized (affine) phase retrieval in the complex case

In this paper, we discuss the stability of generalized phase retrieval and generalized affine phase retrieval in the complex case. By the realification method, we obtain the bi-Lipschitz property in the absenc...

Authors: Zhitao Zhuang

Vulnerable options pricing under uncertain volatility model

In this paper, we consider the pricing problem of options with counterparty default risks. We study the asymptotic behavior of vulnerable option prices in the worst case scenario under an uncertain volatility ...

Authors: Qing Zhou and Xiaonan Li

Asymptotic properties of wavelet estimators in heteroscedastic semiparametric model based on negatively associated innovations

Authors: Xueping Hu, Jinbiao Zhong, Jiashun Ren, Bing Shi and Keming Yu

On n-quasi-\([m,C]\)-isometric operators

Authors: Junli Shen

Compound Poisson point processes, concentration and oracle inequalities

This note aims at presenting several new theoretical results for the compound Poisson point process, which follows the work of Zhang et al. (Insur. Math. Econ. 59:325–336, 2014). The first part provides a new cha...

Authors: Huiming Zhang and Xiaoxu Wu

Multilinear fractional integral operators on central Morrey spaces with variable exponent

In this paper, we obtain the boundedness of the multilinear fractional integral operators and their commutators on central Morrey spaces with variable exponent.

Authors: Hongbin Wang and Jingshi Xu

Product of composition and differentiation operators and closures of weighted Bergman spaces in Bloch type spaces

Closures of weighted Bergman spaces in Bloch type spaces are investigated in the paper. Moreover, the boundedness and compactness of the product of composition and differentiation operators from Bloch type spa...

Authors: Li-Xu Zhang

Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences

Authors: Feng Xu, Binhui Wang and Yawen Hou

Determination of source term for the fractional Rayleigh–Stokes equation with random data

In this article, we consider the problem of finding a source term of a Rayleigh–Stokes equation. Our problem is not well-posed in the sense of Hadamard. The sought solution does not depend continuously on the ...

Authors: Tran Thanh Binh, Dumitru Baleanu, Nguyen Hoang Luc and Nguyen-H Can

Comparison and analysis of two forms of harvesting functions in the two-prey and one-predator model

A new way to study the harvested predator–prey system is presented by analyzing the dynamics of two-prey and one-predator model, in which two teams of prey are interacting with one team of predators and the ha...

Authors: Xinxin Liu and Qingdao Huang

Refinement multidimensional dynamic inequalities with general kernels and measures

Using the properties of superquadratic and subquadratic functions, we establish some new refinement multidimensional dynamic inequalities of Hardy’s type on time scales. Our results contain some of the recent ...

Authors: Samir H. Saker, Haytham M. Rezk, Islam Abohela and Dumitru Baleanu

Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach

In this article, we discuss the existence and uniqueness of solution of a delay Caputo q-fractional difference system. Based on the q-fractional Gronwall inequality, we analyze the Ulam–Hyers stability and the Ul...

Authors: Rabia Ilyas Butt, Thabet Abdeljawad, Manar A. Alqudah and Mujeeb ur Rehman

New refinements for integral and sum forms of Hölder inequality

In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which w...

Authors: İmdat İşcan

Limit theorems for ratios of order statistics from uniform distributions

Authors: Shoufang Xu, Changlin Mei and Yu Miao

Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian

Authors: Lijing Xi and Yuying Zhou

λ-Analogues of Stirling polynomials of the first kind and their applications

Recently, λ-analogues of Stirling numbers of the first kind were studied. In this paper, we introduce, as natural extensions of these numbers, λ-Stirling polynomials of the first kind and r-truncated λ-Stirling p...

Authors: Taekyun Kim, Dae San Kim, Han Young Kim and Sung-Soo Pyo

A new accelerated conjugate gradient method for large-scale unconstrained optimization

In this paper, we present a new conjugate gradient method using an acceleration scheme for solving large-scale unconstrained optimization. The generated search direction satisfies both the sufficient descent c...

Authors: Yuting Chen, Mingyuan Cao and Yueting Yang

Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function

In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral oper...

Authors: Saima Rashid, Farhat Safdar, Ahmet Ocak Akdemir, Muhammad Aslam Noor and Khalida Inayat Noor

Exponential stability analysis of nonlinear systems with bounded gain error

Considering technology limitation or device restriction in practical application, we formulate new nonlinear systems with bounded gain error, which contain switched control and impulsive control. We then inves...

Authors: Xingkai Hu and Linru Nie