Articles

The almost sure local central limit theorem for products of partial sums under negative association

Authors: Yuanying Jiang and Qunying Wu

Binomial difference sequence spaces of fractional order

Authors: Jian Meng and Liquan Mei

On a product-type operator between Hardy and α-Bloch spaces of the upper half-plane

Recently we have introduced a product-type operator and studied it on some spaces of analytic functions on the unit disc. Here we start investigating the operator on the space of analytic functions on the uppe...

Authors: Stevo Stević and Ajay K. Sharma

Windschitl type approximation formulas for the gamma function

In this paper, we present four new Windschitl type approximation formulas for the gamma function. By some unique ideas and techniques, we prove that four functions combined with the gamma function and Windschi...

Authors: Zhen-Hang Yang and Jing-Feng Tian

Sobolev type inequalities for compact metric graphs

In this paper analogues of Sobolev inequalities for compact and connected metric graphs are derived. As a consequence of these inequalities, a lower bound, commonly known as Cheeger inequality, on the first no...

Authors: Muhammad Usman

A Suzuki-type multivalued contraction on weak partial metric spaces and applications

Authors: Hassen Aydi, M. A. Barakat, Zoran D. Mitrović and Vesna Šešum-Čavić

Modified hybrid decomposition of the augmented Lagrangian method with larger step size for three-block separable convex programming

The Jacobian decomposition and the Gauss–Seidel decomposition of augmented Lagrangian method (ALM) are two popular methods for separable convex programming. However, their convergence is not guaranteed for thr...

Authors: Min Sun and Yiju Wang

Blending type approximation by \(GBS\) operators of bivariate tensor product of λ-Bernstein–Kantorovich type

Authors: Qing-Bo Cai and Guorong Zhou

A difference-based approach in the partially linear model with dependent errors

We study asymptotic properties of estimators of parameter and non-parameter in a partially linear model in which errors are dependent. Using a difference-based and ordinary least square (DOLS) method, the esti...

Authors: Zhen Zeng and Xiangdong Liu

Approximation formulas related to Somos’ quadratic recurrence constant

We present two classes of asymptotic expansions related to Somos’ quadratic recurrence constant and provide the recursive relations for determining the coefficients of each class of the asymptotic expansions b...

Authors: Bo Zhang and Chao-Ping Chen

Geometric inequalities for warped product bi-slant submanifolds with a warping function

In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping func...

Authors: Aliya Naaz Siddiqui, Mohammad Hasan Shahid and Jae Won Lee

Different types of quantum integral inequalities via \((\alpha ,m)\)-convexity

Authors: Yao Zhang, Ting-Song Du, Hao Wang and Yan-Jun Shen

Approximation by \((p,q)\)-Lupaş–Schurer–Kantorovich operators

Authors: Kadir Kanat and Melek Sofyalıoğlu

Error analysis for \(l^{q}\)-coefficient regularized moving least-square regression

Authors: Qin Guo and Peixin Ye

Noninstantaneous impulsive inequalities via conformable fractional calculus

We establish some new noninstantaneous impulsive inequalities using the conformable fractional calculus.

Authors: Surang Sitho, Sotiris K. Ntouyas, Praveen Agarwal and Jessada Tariboon

Web renewal counting processes and their applications in insurance

This paper investigates a nonstandard renewal counting process with dependent inter-arrival times-web renewal process. Several limit properties, including the tail of the exponential moment which is a crucial ...

Authors: Rong Li, Xiuchun Bi and Shuguang Zhang

Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities

In this paper, we investigate the existence of a positive periodic solution for the following fourth-order p-Laplacian generalized neutral differential equation with attractive and repulsive singularities:

Authors: Yun Xin and Hongmin Liu

New global error bound for extended linear complementarity problems

For the extended linear complementarity problem (ELCP), by virtue of a new residual function, we establish a new type of global error bound under weaker conditions. Based on this, we respectively obtain new gl...

Authors: Hongchun Sun, Min Sun and Yiju Wang

Some inequalities for the Fan product of M-tensors

In this paper, we investigate some inequalities for the Fan product of M-tensors. We propose exact characterizations of M-tensors and establish some inequalities on the minimum eigenvalue for the Fan product of t...

Authors: Gang Wang, Yanan Wang and Yuan Zhang

A double projection algorithm for quasimonotone variational inequalities in Banach spaces

We propose a double projection algorithm for solving variational inequality problems in Banach spaces. We establish the strong convergence of the whole sequence generated by the proposed method under the quasi...

Authors: Lian Zheng

Monotonicity of the number of positive entries in nonnegative matrix powers

Authors: Qimiao Xie

Viscosity iterative algorithm for the zero point of monotone mappings in Banach spaces

Inspired by the work of Zegeye (J. Math. Anal. Appl. 343:663–671, 2008) and the recent papers of Chidume et al. (Fixed Point Theory Appl. 2016:97, 2016; Br. J. Math. Comput. Sci. 18:1–14, 2016), we devise a visco...

Authors: Yan Tang

Inequalities involving hypergeometric and related functions

An inequality is being proved which is connected to cost-effective numerical density estimation of the hyper-gamma probability distribution. The left-hand side of the inequality is a combination of two in the ...

Authors: Siegfried H. Lehnigk

New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces

This manuscript deals with two general systems of nonlinear ordered variational inclusion problems. We also construct some new iterative algorithms for finding approximation solutions to the general systems of...

Authors: Mohd. Sarfaraz, Kottakkaran Sooppy Nisar, Ahmed Morsy and Md. Kalimuddin Ahmad

Quadratic transformation inequalities for Gaussian hypergeometric function

In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities for the generalized Grötzsch ring function.

Authors: Tie-Hong Zhao, Miao-Kun Wang, Wen Zhang and Yu-Ming Chu

Hybrid proximal linearized algorithm for the split DC program in infinite-dimensional real Hilbert spaces

To be the best of our knowledge, the convergence theorem for the DC program and split DC program are proposed in finite-dimensional real Hilbert spaces or Euclidean spaces. In this paper, to study the split DC...

Authors: Chih-Sheng Chuang and Pei-Jung Yang

Some monotonicity properties and inequalities for the generalized digamma and polygamma functions

Several monotonicity and concavity results related to the generalized digamma and polygamma functions are presented. This extends and generalizes the main results of Qi and Guo and others.

Authors: Li Yin, Li-Guo Huang, Zhi-Min Song and Xiang Kai Dou

Complete quenching phenomenon for a parabolic p-Laplacian equation with a weighted absorption

Authors: Liping Zhu

Some inequalities for \((p,q)\)-mixed volume

Authors: Bin Chen and Weidong Wang

Multivariate box spline wavelets in higher-dimensional Sobolev spaces

We construct wavelets and derive a density condition of MRA in a higher-dimensional Sobolev space. We give necessary and sufficient conditions for orthonormality of wavelets in ...

Authors: Raj Kumar and Manish Chauhan

Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays

This paper is concerned with a class of quaternion-valued cellular neural networks with discrete and distributed delays. By using the exponential dichotomy of linear systems and a fixed point theorem, sufficie...

Authors: Xiaofang Meng and Yongkun Li

Minimizing Lundberg inequality for ruin probability under correlated risk model by investment and reinsurance

This paper investigates optimal investment and reinsurance policies for an insurance company under a correlated risk model with common Poisson shocks. The goal of the insurance company is to minimize the ultim...

Authors: Lin Xu, Minghan Wang and Bin Zhang

General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function

In this paper some new general fractional integral inequalities for convex and m-convex functions by involving an extended Mittag-Leffler function are presented. These results produce inequalities for several kin...

Authors: G. Farid, K. A. Khan, N. Latif, A. U. Rehman and S. Mehmood

Almost sure central limit theorem for self-normalized products of the some partial sums of \(\rho^{-}\)-mixing sequences

Authors: Xili Tan and Wei Liu

Shape-preserving properties of a new family of generalized Bernstein operators

Authors: Qing-Bo Cai and Xiao-Wei Xu

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

Monotonicity properties and bounds for the complete p-elliptic integrals

We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals.

Authors: Ti-Ren Huang, Shen-Yang Tan, Xiao-Yan Ma and Yu-Ming Chu

The obstacle problem for conformal metrics on compact Riemannian manifolds

We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds

Authors: Sijia Bao and Yuming Xing

Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity

By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new generalization of Steffensen’s inequality. Some related inequalities providing generalizations of certain results ...

Authors: Asfand Fahad, Josip Pečarić and Muhammad Imran Qureshi

Approximation of the generalized Cauchy–Jensen functional equation in \(C^{*}\)-algebras

Authors: Prondanai Kaskasem and Chakkrid Klin-eam

A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces

The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asympt...

Authors: Shih-sen Chang, Jen-Chih Yao, Ching-Feng Wen and Lin Wang

A Hilbert-type integral inequality in the whole plane related to the kernel of exponent function

By using real analysis and weight functions, we obtain a few equivalent statements of a Hilbert-type integral inequality in the whole plane related to the kernel of exponent function with intermediate variable...

Authors: Yanru Zhong, Meifa Huang and Bicheng Yang

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

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