Articles

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

On statistical convergence and strong Cesàro convergence by moduli

In this paper we will establish a result by Connor, Khan and Orhan (Analysis 8:47–63, 1988; Publ. Math. (Debr.) 76:77–88, 2010) in the framework of the statistical convergence and the strong Cesàro convergence de...

Authors: Fernando León-Saavedra, M. del Carmen Listán-García, Francisco Javier Pérez Fernández and María Pilar Romero de la Rosa

Schur-harmonic convexity related to co-ordinated harmonically convex functions in plane

In this paper, we investigate Schur-harmonic convexity of some functions which are obtained from the co-ordinated harmonically convex functions on a square in a plane.

Authors: N. Safaei and A. Barani

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

Some Opial-type integral inequalities via \((p,q)\)-calculus

Authors: Md. Nasiruzzaman, Aiman Mukheimer and M. Mursaleen

New delay-dependent observer-based control for uncertain stochastic time-delay systems

This paper considers the problem of estimating the state vector of uncertain stochastic time-delay systems, while the system states are unmeasured. The system under study involves parameter uncertainties, nois...

Authors: Xiu-feng Miao and Long-suo Li

Lower and upper bounds for lifespan of solutions to viscoelastic hyperbolic equations with variable sources and damping terms

Authors: Lili Dai and Zhuo Zhang

Optimality and duality results for E-differentiable multiobjective fractional programming problems under E-convexity

A new class of (not necessarily differentiable) multiobjective fractional programming problems with E-differentiable functions is considered. The so-called parametric E-Karush–Kuhn–Tucker necessary optimality con...

Authors: Tadeusz Antczak and Najeeb Abdulaleem

A note on generalized convex functions

In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in gen...

Authors: Syed Zaheer Ullah, Muhammad Adil Khan and Yu-Ming Chu

On extended interpolative Ćirić–Reich–Rus type F-contractions and an application

The goal of this work is to introduce an extended interpolative Ćirić–Reich–Rus type contraction by the approach of Wardowski. We establish some related fixed point results (for single and multivalued-mappings...

Authors: Babak Mohammadi, Vahid Parvaneh and Hassen Aydi

The partially shared values and small functions for meromorphic functions in a k-punctured complex plane

Authors: Hong Yan Xu, Yong Ming Li and Shan Liu

A new approach to multivalued nonlinear weakly Picard operators

Authors: Aiman Mukheimer, Jelena Vujaković, Azhar Hussain, Hassen Aydi, Stojan Radenović and Saman Yaqoob

Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean

In the article, we provide the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic means. As appli...

Authors: Wei-Mao Qian, Yue-Ying Yang, Hong-Wei Zhang and Yu-Ming Chu

Construction of a family of non-stationary biorthogonal wavelets

The family of exponential pseudo-splines is the non-stationary counterpart of the pseudo-splines and includes the exponential B-spline functions as special members. Among the family of the exponential pseudo-s...

Authors: Baoxing Zhang, Hongchan Zheng, Jie Zhou and Lulu Pan

The alternate direction iterative methods for generalized saddle point systems

The paper studies two splitting forms of generalized saddle point matrix to derive two alternate direction iterative schemes for generalized saddle point systems. Some convergence results are established for t...

Authors: Shuanghua Luo, Angang Cui and Cheng-yi Zhang

Two-weight norm inequalities for fractional integral operators with \(A_{\lambda,\infty}\) weights

Authors: Junren Pan and Wenchang Sun

Globally convergent method for designing twice spline contractual function

To design a quadratic spline contractual function in the case of discretely unknown nodes, a modified constraint shifting homotopy algorithm for solving principal–agent problems is constructed in the paper. Th...

Authors: Zhichuan Zhu, Yonghong Yao and Mihai Postolache

Weak convergence of explicit extragradient algorithms for solving equilibirum problems

This paper aims to propose two new algorithms that are developed by implementing inertial and subgradient techniques to solve the problem of pseudomonotone equilibrium problems. The weak convergence of these a...

Authors: Habib ur Rehman, Poom Kumam, Yeol Je Cho and Pasakorn Yordsorn

Finite Morse index solutions of the Hénon Lane–Emden equation

In this paper, we are concerned with Liouville-type theorems of the Hénon Lane–Emden triharmonic equations in whole space. We prove Liouville-type theorems for solutions belonging to one of the following class...

Authors: Abdellaziz Harrabi and Cherif Zaidi

Fixed point results in \(M_{\nu }\)-metric spaces with an application

Authors: Mohammad Asim, Izhar Uddin and Mohammad Imdad

Equivalent properties of a reverse half-discrete Hilbert’s inequality

By using the weight functions, the idea of introduced parameters and the Euler–Maclaurin summation formula, a reverse half-discrete Hilbert’s inequality with the homogeneous kernel and the reverse equivalent f...

Authors: Ai-zhen Wang, Bi-cheng Yang and Qiang Chen

Hartman–Wintner type inequalities for a class of fractional BVPs with higher order

In this paper, we derive some Hartman–Wintner type inequalities for a certain higher order fractional boundary value problem. As an application of our results, we obtain a lower bound for the eigenvalues of th...

Authors: Jackie Harjani, Kishin Sadarangani and Bessem Samet

Convergence rate analysis of an iterative algorithm for solving the multiple-sets split equality problem

This paper considers an iterative algorithm of solving the multiple-sets split equality problem (MSSEP) whose step size is independent of the norm of the related operators, and investigates its sublinear and l...

Authors: Shijie Sun, Meiling Feng and Luoyi Shi

Coefficient bounds for certain subclasses of starlike functions

The conjecture proposed by Raina and Sokòł [Hacet. J. Math. Stat. 44(6):1427–1433 (2015)] for a sharp upper bound on the fourth coefficient has been settled in this manuscript. An example is constructed to show t...

Authors: Nak Eun Cho, Virendra Kumar, Oh Sang Kwon and Young Jae Sim

On weighted integrability of functions defined by trigonometric series with p-bounded variation coefficients

In this paper we introduce new classes of p-bounded variation sequences and give a sufficient and necessary condition for weighted integrability of trigonometric series with coefficients belonging to these classe...

Authors: Bogdan Szal and Maciej Kubiak

Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems

In this paper, we introduce and investigate composite inertial gradient-based algorithms with a line-search process for solving a variational inequality problem (VIP) with a pseudomonotone and Lipschitz contin...

Authors: Lu-Chuan Ceng and Qing Yuan

Existence of solutions for equations and inclusions of multiterm fractional q-integro-differential with nonseparated and initial boundary conditions

Authors: Mohammad Esmael Samei, Ghorban Khalilzadeh Ranjbar and Vahid Hedayati

On Anderson–Taylor type inequalities for τ-measurable operators

The main purpose of this article is to establish Anderson–Taylor type inequalities for τ-measurable operators. Some related results for M-operators are also obtained.

Authors: Jingjing Shao

Some bounds for the Z-eigenpair of nonnegative tensors

Tensor eigenvalue problem is one of important research topics in tensor theory. In this manuscript, we consider the properties of Z-eigenpair of irreducible nonnegative tensors. By estimating the ratio of the sma...

Authors: Xiaoyu Ma and Yisheng Song

On the integer part of the reciprocal of the Riemann zeta function tail at certain rational numbers in the critical strip

Authors: WonTae Hwang and Kyunghwan Song

An intermixed iteration for constrained convex minimization problem and split feasibility problem

In this paper, we first introduce the two-step intermixed iteration for finding the common solution of a constrained convex minimization problem, and also we prove a strong convergence theorem for the intermix...

Authors: Kanyanee Saechou and Atid Kangtunyakarn

The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space ...

Authors: Mitsuo Izuki, Takahiro Noi and Yoshihiro Sawano

New fractional inequalities of midpoint type via s-convexity and their application

In this study, we introduced new integral inequalities of Hermite–Hadamard type via s-convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is cons...

Authors: Ohud Almutairi and Adem Kılıçman

Fractional Hermite–Hadamard type inequalities for interval-valued functions

We introduce the concept of interval harmonically convex functions. By using two different classes of convexity, we get some further refinements for interval fractional Hermite–Hadamard type inequalities. Also...

Authors: Xuelong Liu, Gouju Ye, Dafang Zhao and Wei Liu

Ordinary and degenerate Euler numbers and polynomials

In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on ...

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

Hadamard k-fractional inequalities of Fejér type for GA-s-convex mappings and applications

The main aim of this paper is to establish some Fejér-type inequalities involving hypergeometric functions in terms of GA-s-convexity. For this purpose, we construct a Hadamard k-fractional identity related to ge...

Authors: Hui Lei, Gou Hu, Zhi-Jie Cao and Ting-Song Du

On an extension of Hadamard fractional derivative

In this paper, we introduce a new approach to the fractional derivation which generalizes the classical Hadamard fractional derivative. We prove some properties of this new approach and also establish some res...

Authors: Muhammad Samraiz, Erhan Set, Muhammad Hasnain and Gauhar Rahman