Articles

On complete moment convergence for arrays of rowwise pairwise negatively quadrant dependent random variables

In this paper, we establish some results on the complete moment convergence for weighted sums of pairwise negatively quadrant dependent (PNQD) random variables. The obtained results improve the corresponding o...

Authors: Meimei Ge, Zexing Dai and Yongfeng Wu

On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data

This paper provides some new results on robust approximate optimal solutions of a fractional semi-infinite optimization problem under uncertainty data in the constraint functions. By employing conjugate analys...

Authors: Jing Zeng, Peng Xu and Hongyong Fu

Hermite–Hadamard-type inequalities for functions whose derivatives are η-convex via fractional integrals

In the present research, we develop some integral inequalities of Hermite–Hadamard type for differentiable η-convex functions. Moreover, our results include several new and known results as particular cases.

Authors: Young Chel Kwun, Muhammad Shoaib Saleem, Mamoona Ghafoor, Waqas Nazeer and Shin Min Kang

Application of the product net technique and Kadec–Klee property to study nonlinear ergodic theorems and weak convergence theorems in uniformly convex multi-Banach spaces

Let Y be a uniformly convex multi-Banach space which has not a Frechet differentiable norm. We use the technique of product net to obtain the nonlinear ergodic theorems in Y. Finally, let the dual of uniformly co...

Authors: H. M. Kenari, Reza Saadati and Choonkil Park

On approximating the quasi-arithmetic mean

Authors: Tie-Hong Zhao, Bu-Chuan Zhou, Miao-Kun Wang and Yu-Ming Chu

Dimension estimates of the attractor for the dissipative quantum Zakharov equations

The finite dimension estimates of Hausdorff dimension and fractal dimension of the attractor of the dissipative quantum Zakharov equations are mainly studied by using the estimates of the Lyapunov exponents. T...

Authors: Donglong Li and Yanfeng Guo

Well-posedness of the stochastic Boussinesq equation driven by Levy processes

In this paper, we develop a new progressive stopping time technique to prove the existence and uniqueness of a special type of global solutions for the stochastic Boussinesq equations driven by Levy processes....

Authors: Yan Zheng and Jianhua Huang

A new two-step iterative method for solving absolute value equations

Authors: Jingmei Feng and Sanyang Liu

Some characterizations of error bound for non-lower semicontinuous functions

In this paper, we study the error bound of non-lower semicontinuous functions. First, we extend the concepts of strong slope and global slope to the non-lower semicontinuous functions. Second, by using the two...

Authors: Miantao Chao, Xiuping Wang and Dongying Liang

On some bounds of the topological indices of generalized Sierpiński and extended Sierpiński graphs

Sierpiński graphs are extensively studied graphs of fractal nature with applications in topology, mathematics of Tower of Hanoi and computer science. The generalized Sierpiński graphs are defined by replicatio...

Authors: Imran Javaid, Hira Benish, Muhammad Imran, Amna Khan and Zafar Ullah

On complete monotonicity for several classes of functions related to ratios of gamma functions

Authors: Feng Qi and Ravi P. Agarwal

On a subclass of starlike functions associated with a vertical strip domain

In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalitie...

Authors: Yong Sun, Zhi-Gang Wang, Antti Rasila and Janusz Sokół

On the convergence of Lupaş \((p,q)\)-Bernstein operators via contraction principle

Authors: Haifa Bin Jebreen, Mohammad Mursaleen and Mohd Ahasan

An improved version of a result of Chandra, Li, and Rosalsky

For an array of rowwise pairwise negative quadrant dependent, mean 0 random variables, Chandra, Li, and Rosalsky provided conditions under which weighted averages converge in ...

Authors: Deli Li and Andrew Rosalsky

M-positive semi-definiteness and M-positive definiteness of fourth-order partially symmetric Cauchy tensors

Inspired by symmetric Cauchy tensors, we define fourth-order partially symmetric Cauchy tensors with their generating vectors. In this article, we focus on the necessary and sufficient conditions for the M-pos...

Authors: Haitao Che, Haibin Chen and Yiju Wang

Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces

In this paper, using Brzdȩk and Ciepliński’s fixed point theorems in a 2-Banach space, we investigate approximate solution for the generalized inhomogeneous radical quadratic functional equation of the form

Authors: Yali Ding and Tian-Zhou Xu

New stability criteria for asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities

This paper investigates the new stability criteria for the asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities. Firstly, not only the known constant time delay, but als...

Authors: Wei Zheng, Hongbin Wang, Fuchun Sun, Shuhuan Wen, Zhiming Zhang and Hongrui Wang

Dragomir and Gosa type inequalities on b-metric spaces

In this paper, we investigate Dragomir and Gosa type inequalities in the setting of b-metric spaces. As an application, we consider some inequalities in b-normed spaces. We prove that the inequalities admit geome...

Authors: Erdal Karapınar and Maha Noorwali

q-Non uniform difference calculus and classical integral inequalities

We first establish q-non uniform difference versions of the integral inequalities of Hölder, Cauchy–Schwarz, and Minkowski of classical mathematical analysis and then integral inequalities of Grönwall and Bernoul...

Authors: Gaspard Bangerezako, Jean Paul Nuwacu and Enas M Shehata

On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions

In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions. We also show two basic ψ-Riemann–Liouville fractio...

Authors: Kui Liu, JinRong Wang and Donal O’Regan

An exact estimate result for p-biharmonic equations with Hardy potential and negative exponents

In this paper, p-biharmonic equations involving Hardy potential and negative exponents with a parameter λ are considered. By means of the structure and properties of Nehari manifold, we give uniform lower bounds ...

Authors: Yanbin Sang and Siman Guo

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