Articles

On submultiplicative constants of an algebra

Authors: James S. Cook and Khang V. Nguyen

A note on modified degenerate q-Daehee polynomials and numbers

We consider the modified degenerate q-Daehee polynomials and numbers of the second kind which can be represented as the p-adic q-integral. Furthermore, we investigate some properties of those polynomials and numb...

Authors: Jeong Gon Lee, Won Joo Kim, Lee-Chae Jang and Byung Moon Kim

Oscillatory and asymptotic properties of third-order quasilinear delay differential equations

In this paper, we consider a class of quasilinear third-order differential equations with a delayed argument. We establish new sufficient conditions for all solutions of such equations to be oscillatory or alm...

Authors: G. E. Chatzarakis, J. Džurina and I. Jadlovská

Solvability of some classes of singular integral equations of convolution type via Riemann–Hilbert problem

In this paper, we study methods of solution for some kinds of convolution type singular integral equations with Cauchy kernel. By means of the classical boundary value problems for analytic functions and of th...

Authors: Pingrun Li

Correction to: Renormalized self-intersection local time of bifractional Brownian motion

In the publication of this article [1], there are five errors. They have now been corrected in this correction.

Authors: Zhenlong Chen, Liheng Sang and Xiaozhen Hao

Certain inequalities for the modified Bessel-type function

Authors: Min-Jie Luo and Ravinder Krishna Raina

Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives

A Lyapunov-type inequality is derived for a nonlinear fractional boundary value problem involving Caputo-type fractional derivative. The obtained inequality provides a necessary condition for the existence of ...

Authors: Mohamed Jleli, Bessem Samet and Yong Zhou

A restriction estimate for a class of oscillatory integral operators along paraboloid

Authors: Shaozhen Xu and Wenjuan Li

New inertial algorithm for solving split common null point problem in Banach spaces

Inspired by the works of Alvarez and Attouch (Set-Valued Anal. 9:3–11, 2001), López et al. (Inverse Probl. 28:ID085004, 2012), Takahashi (Arch. Math. (Basel) 104(4):357–365, 2015) and Suantai et al. (Appl. Gen. T...

Authors: Yan Tang

Discrete majorization type inequalities for convex functions on rectangles

In this paper, we present several discrete majorization type inequalities for the convex functions defined on rectangles.

Authors: Muhammad Adil Khan, Shan-He Wu, Hidayat Ullah and Yu-Ming Chu

A note on the convergence rates in precise asymptotics

Authors: Yong Zhang

On stability of generalized phase retrieval and generalized affine phase retrieval

In this paper, we consider the stability of intensity measurement mappings corresponding to generalized phase retrieval and generalized affine phase retrieval in the real case. First, we show the bi-Lipschitz ...

Authors: Zhitao Zhuang

New criteria for Carathéodory functions

The object of the present paper is to investigate various conditions for Carathéodory functions in the open unit disk. Also we give some applications to univalent functions as special cases.

Authors: In Hwa Kim, Young Jae Sim and Nak Eun Cho

A new proof of the Orlicz–Lorentz centroid inequality

In this paper, we give another proof of the Orlicz–Lorentz centroid inequality which is obtained by Nguyen (Adv. Appl. Math. 92:99–121, 2018). We prove that a family of parallel chord movement under the Orlicz–Lo...

Authors: Fangwei Chen and Congli Yang

Common fixed point theorems for rational \(F_{\mathcal{R}}\)-contractive pairs of mappings with applications

Authors: Mian Bahadur Zada and Muhammad Sarwar

Monotonicity formulas for the first eigenvalue of the weighted p-Laplacian under the Ricci-harmonic flow

Authors: Abimbola Abolarinwa, Olukayode Adebimpe and Emmanuel A. Bakare

Some notes on commutators of the fractional maximal function on variable Lebesgue spaces

Authors: Pu Zhang, Zengyan Si and Jianglong Wu

On certain inequalities associated to curvature properties of the nonlinear PPH reconstruction operator

In this paper we study the curvature term for the Lagrange and PPH (Amat et al. in Found. Comput. Math. 6:193–225, 2006 and Ortiz and Trillo in Preprint, arXiv:​1811.​10566

Authors: J. C. Trillo and P. Ortiz

Self-adaptive subgradient extragradient method with inertial modification for solving monotone variational inequality problems and quasi-nonexpansive fixed point problems

In this paper, we introduce a new algorithm with self-adaptive method for finding a solution of the variational inequality problem involving monotone operator and the fixed point problem of a quasi-nonexpansiv...

Authors: Ming Tian and Mengying Tong

On complexity of a new Mehrotra-type interior point algorithm for \(P_{*}(\kappa )\) linear complementarity problems

Authors: Yiyuan Zhou, Mingwang Zhang and Zhengwei Huang

On the degenerate \((h,q)\)-Changhee numbers and polynomials

The Changhee numbers and polynomials are introduced by Kim, Kim and Seo (Adv. Stud. Theor. Phys. 7(20):993–1003, 2013), and the generalizations of those polynomials are characterized. In this paper, we investigat...

Authors: Yunjae Kim and Jin-Woo Park

Upper and lower bounds for the Bregman divergence

Authors: Benjamin Sprung

The entropy solution of a reaction–diffusion equation on an unbounded domain

Authors: Huashui Zhan and Yongping Li

Asymptotic dichotomy in a class of higher order nonlinear delay differential equations

Employing a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equation

Authors: Yunhua Ye and Haihua Liang

Path-following and semismooth Newton methods for the variational inequality arising from two membranes problem

A semismooth Newton method, based on variational inequalities and generalized derivative, is designed and analysed for unilateral contact problem between two membranes. The problem is first formulated as a cor...

Authors: Shougui Zhang, Yueyue Yan and Ruisheng Ran

Hermite–Hadamard type inequalities for F-convex function involving fractional integrals

In this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite–Hadamard type for differentiable function. Moreover, we establish so...

Authors: Pshtiwan Othman Mohammed and Mehmet Zeki Sarikaya

Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications

In this paper, we establish a new iterative algorithm by combining Nadezhkina and Takahashi’s modified extragradient method and Xu’s algorithm. The mentioned iterative algorithm presents the common solution of...

Authors: Panisa Lohawech, Anchalee Kaewcharoen and Ali Farajzadeh

Small operator ideals formed by s numbers on generalized Cesáro and Orlicz sequence spaces

Authors: Nashat Faried and Awad A. Bakery

Parameter estimation for Ornstein–Uhlenbeck processes driven by fractional Lévy process

Authors: Guangjun Shen, Yunmeng Li and Zhenlong Gao

Global maximal inequality to a class of oscillatory integrals

Authors: Ying Xue and Yaoming Niu

Inner approximation algorithm for generalized linear multiplicative programming problems

An efficient inner approximation algorithm is presented for solving the generalized linear multiplicative programming problem with generalized linear multiplicative constraints. The problem is firstly converte...

Authors: Yingfeng Zhao and Juanjuan Yang

On properties of geodesic semilocal E-preinvex functions

The authors define a class of functions on Riemannian manifolds, which are called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functi...

Authors: Adem Kılıçman and Wedad Saleh

Some inequalities for Cesàro means of double Vilenkin–Fourier series

Authors: T. Tepnadze and L. E. Persson

An existence-uniqueness theorem and alternating contraction projection methods for inverse variational inequalities

Authors: Songnian He and Qiao-Li Dong

Self-adaptive iterative method for solving boundedly Lipschitz continuous and strongly monotone variational inequalities

In this paper we introduce a new self-adaptive iterative algorithm for solving the variational inequalities in real Hilbert spaces, denoted by

Authors: Songnian He, Lili Liu and Aviv Gibali

On a result of Cartwright and Field

Authors: Peng Gao

An estimate on the Bedrosian commutator in Sobolev space

While the Bedrosian identity for the Hilbert transform of a product does not hold for general Sobolev class functions, we show that the defect of this identity is more regular than would be naively expected. W...

Authors: Marcel Oliver

Opial inequality in q-calculus

In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using a closed form of the restricted q-integral (see Gauchman in Comput. Math. Appl. 47:281–300, 2004), we establish a new in...

Authors: Tatjana Z. Mirković, Slobodan B. Tričković and Miomir S. Stanković

Approximation by modified Kantorovich–Stancu operators

In the present paper, we study a new kind of Kantorovich–Stancu type operators. For this modified form, we discuss a uniform convergence estimate. Some Voronovskaja-type theorems are given.

Authors: Adonia-Augustina Opriş

Bohr-type inequalities of analytic functions

In this paper, we investigate the Bohr-type radii for several different forms of Bohr-type inequalities of analytic functions in the unit disk, we also investigate the Bohr-type radius of the alternating serie...

Authors: Ming-Sheng Liu, Yin-Miao Shang and Jun-Feng Xu

Hölder inequality applied on a non-Newtonian fluid equation with a nonlinear convection term and a source term

Consider a non-Newtonian fluid equation with a nonlinear convection term and a source term. The existence of the weak solution is proved by Simon’s compactness theorem. By the Hölder inequality, if both the di...

Authors: Huashui Zhan

A tensor trust-region model for nonlinear system

It has turned out that the tensor expansion model has better approximation to the objective function than models of the normal second Taylor expansion. This paper conducts a study of the tensor model for nonli...

Authors: Songhua Wang and Shulun Liu

Notes on three conjectures involving the digamma and generalized digamma functions

In the paper, we solve one conjecture on an inequality involving digamma function, an open problem, and a conjecture on monotonicity of functions involving generalized digamma function. We also prove a new ine...

Authors: Ladislav Matejíčka

Stabilization of third-order differential equation by delay distributed feedback control

There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approac...

Authors: Alexander Domoshnitsky, Shirel Shemesh, Alexander Sitkin, Ester Yakovi and Roman Yavich

A new method based on the manifold-alternative approximating for low-rank matrix completion

In this paper, a new method is proposed for low-rank matrix completion which is based on the least squares approximating to the known elements in the manifold formed by the singular vectors of the partial sing...

Authors: Fujiao Ren and Ruiping Wen

Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations

Authors: Izhar Uddin, Chanchal Garodia and Juan Jose Nieto

On the stability of a class of slowly varying systems

Slowly varying systems are common in physics and control engineering and thus stability analysis for those systems has drawn considerable attention in the literature. This paper uses the “frozen time approach”...

Authors: M. F. M. Naser, G. N. Gumah, S. K. Al-Omari and O. M. Bdair

About the sharpness of the Jensen inequality

The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case...

Authors: Ðilda Pečarić, Josip Pečarić and Mirna Rodić

A class of stochastic Gronwall’s inequality and its application

This paper puts forward the basic form of stochastic Gronwall’s inequality and uses, respectively, the iterative method, the integral method and the martingale representation method to prove it. Then it presen...

Authors: Xin Wang and Shengjun Fan

Relaxed alternating CQ algorithms for the split equality problem in Hilbert spaces

In this paper, we are concerned with the split equality problem (SEP) in Hilbert spaces. By converting it to a coupled fixed-point equation, we propose a new algorithm for solving the SEP. Whenever the convex ...

Authors: Hai Yu and Fenghui Wang