Articles

Some unity results on entire functions and their difference operators related to 4 CM theorem

Authors: BaoQin Chen and Sheng Li

Eigenvalues of s-type operators on \(C(p)\) equipped with a pre-quasi norm

Authors: Awad A. Bakery and Elsayed A. E. Mohamed

Retraction Note: Growth property at infinity of harmonic functions

This article has been retracted. Please see the retraction notice for more detail: https://​doi.​org/​10.​1186/​s13660-015-0919-6.

Authors: Zongcai Jiang, Linbo Hou and Corchado Peixoto-de-Büyükkurt

Consistency of bootstrap approximation to the null distributions of local spatial statistics with application to house price analysis

With the increasing availability of spatially extensive geo-referenced data, much attention has been paid to the use of local statistics to identify local patterns of spatial association, in which the null dis...

Authors: Chang-Lin Mei, Shou-Fang Xu and Feng Chen

Asymptotics for \(L_{1}\)-wavelet method for nonparametric regression

Wavelets are particularly useful because of their natural adaptive ability to characterize data with intrinsically local properties. When the data contain outliers or come from a population with a heavy-tailed...

Authors: Xingcai Zhou and Fangxia Zhu

Blow-up analysis for parabolic p-Laplacian equations with a gradient source term

Authors: Juntang Ding

Alternating iterative algorithms for the split equality problem without prior knowledge of operator norms

In this paper, we study the alternating CQ algorithm for solving the split equality problem in Hilbert spaces. It is, however, not easy to implement since its selection of the stepsize requires prior informati...

Authors: Hai Yu and Fenghui Wang

A global QP-free algorithm for mathematical programs with complementarity constraints

In this paper, a primal–dual interior point QP-free algorithm for mathematical programs with complementarity constraints is presented. Firstly, based on Fischer–Burmeister function and smoothing techniques, th...

Authors: Jian Ling Li and Qi Zhang

Jensen–Mercer inequality for GA-convex functions and some related inequalities

In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequa...

Authors: İmdat İşcan

A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces

This manuscript aims to initiate some recent theoretical consequences related to tripled coincidence points for non-self mappings via the notion of C-type functions in partially ordered complete metric-like space...

Authors: Hasanen A. Hammad and Manuel De La Sen

Isoperimetric inequalities of the fourth order Neumann eigenvalues

Authors: Yanlin Deng and Feng Du

Derivation of dynamical integral inequalities based on two-dimensional time scales theory

Authors: Zareen A. Khan, Fahd Jarad, Aziz Khan and Hasib Khan

Certain mean-type fractional integral inequalities via different convexities with applications

Authors: Muhammad Samraiz, Fakhra Nawaz, Sajid Iqbal, Thabet Abdeljawad, Gauhar Rahman and Kottakkaran Sooppy Nisar

Spacelike submanifolds with parallel mean curvature vector in a de Sitter space \(S^{n+p}_{q}(c)\)

Spacelike submanifolds usually appear in the study of questions related to causality in general relativity. In this paper, we study an n-dimensional spacelike submanifold in ...

Authors: Junfeng Chen, Sanyang Liu and Shichang Shu

Study of fractional integral inequalities involving Mittag-Leffler functions via convexity

This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left- and right-sided fractio...

Authors: Zhihua Chen, Ghulam Farid, Maryam Saddiqa, Saleem Ullah and Naveed Latif

Extragradient-like method for pseudomontone equilibrium problems on Hadamard manifolds

This paper presents an extragradient-like method for solving a pseudomonotone equilibrium problem with a Lipschitz-type condition on Hadamard manifolds. The algorithm only needs to know the existence of the Li...

Authors: Junfeng Chen and Sanyang Liu

Generalized metric spaces endowed with vector-valued metrics and matrix equations by tripled fixed point theorems

This research focuses on proving the results of tripled fixed point and coincidence point in generalized metric spaces endowed with vector-valued metrics and matrix equations. The results from this study are i...

Authors: Samira Hadi Bonab, Rasoul Abazari, Ali Bagheri Vakilabad and Hasan Hosseinzadeh

q-Analogues and properties of the Laplace-type integral operator in the quantum calculus theory

In this paper, we discuss the q-Laplace-type integral operator on certain class of special functions. We propose q-analogues and obtain results involving polynomials of even orders and functions of q-trigonometri...

Authors: Shrideh Khalaf Al-Omari

Commutators of θ-type generalized fractional integrals on non-homogeneous spaces

Authors: Guanghui Lu

The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup

Hypersingular integrals have appeared as effective tools for inversion of multidimensional potential-type operators such as Riesz, Bessel, Flett, parabolic potentials, etc. They represent (at least formally) f...

Authors: Melih Eryiğit, Sinem Sezer Evcan and Selim Çobanoğlu

A generalized Hölder-type inequalities for measurable operators

We prove a generalized Hölder-type inequality for measurable operators associated with a semi-finite von Neumann algebra which is a generalization of the result shown by Bekjan (Positivity 21:113–126, 2017). This...

Authors: Yazhou Han and Jingjing Shao

Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm

In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given. As a corollary, the sufficient and necessary conditio...

Authors: Lili An and Yunan Cui

Extended cumulative entropy based on kth lower record values for the coherent systems lifetime

Kayal (Probab. Eng. Inf. Sci. 30(4):640–662, 2016) first proposed generalized cumulative entropy based on lower record values. Motivated by Kayal (Probab. Eng. Inf. Sci. 30(4):640–662, 2016), recently, Tahmasebi ...

Authors: Saeid Rahimi, Saeid Tahmasebi and Fazlollah Lak

Multiplication operators on weighted Bloch spaces of the first Cartan domains

Authors: Zhi-jie Jiang

Existence and uniqueness of solutions for a class of higher-order fractional boundary value problems with the nonlinear term satisfying some inequalities

This paper focuses on a class of hider-order nonlinear fractional boundary value problems. The boundary conditions contain Riemann–Stieltjes integral and nonlocal multipoint boundary conditions. It is worth me...

Authors: Fang Wang, Lishan Liu and Yonghong Wu

Weak and strong convergence Bregman extragradient schemes for solving pseudo-monotone and non-Lipschitz variational inequalities

In this paper, we introduce Bregman subgradient extragradient methods for solving variational inequalities with a pseudo-monotone operator which are not necessarily Lipschitz continuous. Our algorithms are con...

Authors: Lateef Olakunle Jolaoso and Maggie Aphane

The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces

In this paper, we obtain the existence and boundedness of Marcinkiewicz integrals with homogeneous kernels on central Campanato spaces. Moreover, the existence and boundedness of multilinear Marcinkiewicz inte...

Authors: Jiao Ma, Mingquan Wei and Dunyan Yan

Large-domain stability of random attractors for stochastic g-Navier–Stokes equations with additive noise

This paper concerns the long term behavior of the stochastic two-dimensional g-Navier–Stokes equations with additive noise defined on a sequence of expanding domains, where the ultimate domain is unbounded and of...

Authors: Fuzhi Li, Dongmei Xu and Lianbing She

Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy

This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. App...

Authors: Nouman Siddique, Muhammad Imran, Khuram Ali Khan and Josip Pečarić

New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions

The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions. Fractional integral operators involving...

Authors: Xiaoli Qiang, Ghulam Farid, Muhammad Yussouf, Khuram Ali Khan and Atiq Ur Rahman

Hybrid method for equilibrium problems and variational inclusions

By providing a new iterative method our aim is finding a common element of the set of fixed points of two nonexpansive mappings, the set of solutions to a variational inclusion and the set of solutions of a ge...

Authors: Shahram Rezapour and Seyyed Hasan Zakeri

Double controlled metric-like spaces

In this paper, we introduce a new extension of the double controlled metric-type spaces, called double controlled metric-like spaces, by assuming that the “self-distance” may not be zero On the other hand, if ...

Authors: Nabil Mlaiki

New lower bounds for the minimum M-eigenvalue of elasticity M-tensors and applications

M-eigenvalues of elasticity M-tensors play an important role in nonlinear elasticity and materials. In this paper, we present several new lower bounds for the minimum M-eigenvalue of elasticity M-tensors and p...

Authors: Haitao Che, Haibin Chen, Na Xu and Qingni Zhu

Wavelet approximation of a function using Chebyshev wavelets

In this paper, we estimate the best wavelet approximations of a function f having bounded second derivatives and bounded higher-order derivatives using Chebyshev wavelets of third and fourth kinds.

Authors: H. K. Nigam, R. N. Mohapatra and K. Murari

Exponential mean-square stability of numerical solutions for stochastic delay integro-differential equations with Poisson jump

In this paper, we investigate the exponential mean-square stability for both the solution of n-dimensional stochastic delay integro-differential equations (SDIDEs) with Poisson jump, as well for the split-step θ-...

Authors: Davood Ahmadian and Omid Farkhondeh Rouz

Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator

The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integr...

Authors: Asifa Tassaddiq, Aftab Khan, Gauhar Rahman, Kottakkaran Sooppy Nisar, Moheb Saad Abouzaid and Ilyas Khan

Lupaş blending functions with shifted knots and q-Bézier curves

In this paper, we introduce blending functions of Lupaş q-Bernstein operators with shifted knots for constructing q-Bézier curves and surfaces. We study the nature of degree elevation and degree reduction for Lup...

Authors: Kottakkaran Sooppy Nisar, Vinita Sharma and Asif Khan

On a fractional p-q Laplacian equation with critical nonlinearity

In this paper, we consider the existence of nontrivial solutions for a fractional p-q Laplacian equation with critical nonlinearity in a bounded domain. Our approach is based on variational methods and some analy...

Authors: Zhen Zhi and Zuodong Yang

Anti-periodicity on high-order inertial Hopfield neural networks involving mixed delays

This paper deals with a class of high-order inertial Hopfield neural networks involving mixed delays. Utilizing differential inequality techniques and the Lyapunov function method, we obtain a sufficient asser...

Authors: Luogen Yao and Qian Cao

Lyapunov-type inequality and solution for a fractional differential equation

In this paper, we consider the linear fractional differential equation

By obtaining the Green’s function we derive the Lyapunov-type inequality for such a boundary value problem. Furthermore, we use the cont...

Authors: Dexiang Ma and Zifa Yang

Vector-valued multilinear singular integrals with nonsmooth kernels and commutators on generalized weighted Morrey space

In this paper, we prove weighted norm inequalities for vector-valued multilinear singular integrals with nonsmooth kernels and commutators on generalized weighted Morrey space.

Authors: Nan Zhao and Jiang Zhou

Coefficient inequalities for certain subclasses of multivalent functions associated with conic domain

Authors: Muhammad Sabil Ur Rehman, Qazi Zahoor Ahmad, H. M. Srivastava, Nazar Khan, Maslina Darus and Muhammad Tahir

Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree

The aim of the present paper is to study radii problems for two general classes including various known subclasses of analytic functions associated with the normalized form of Legendre polynomials of odd degre...

Authors: Ali Ebadian, Nak Eun Cho, Ebrahim Analouei Adegani, Serap Bulut and Teodor Bulboacă

New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals

This paper gives some novel generalizations by considering the generalized conformable fractional integrals operator for reverse Minkowski type and reverse Hölder type inequalities. Furthermore, novel conseque...

Authors: Saima Rashid, Ahmet Ocak Akdemir, Kottakkaran Sooppy Nisar, Thabet Abdeljawad and Gauhar Rahman

Generalizations of Ostrowski type inequalities via Hermite polynomials

We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostro...

Authors: Ljiljanka Kvesić, Josip Pečarić and Mihaela Ribičić Penava

Hermite–Hadamard type inequalities for m-convex and \(( \alpha , m)\)-convex functions

Authors: Serap Özcan

A result on the limiting spectral distribution of random matrices with unequal variance entries

A classical result in random matrix theory reveals that the limiting spectral distribution of a Wigner matrix whose entries have a common variance and satisfy other regular assumptions almost surely converges ...

Authors: Shaojia Jin and Junshan Xie

On \(L^{2}\)-boundedness of Fourier integral operators

Authors: Jie Yang, Wenyi Chen and Jiang Zhou

Hermite–Hadamard inequality for fractional integrals of Caputo–Fabrizio type and related inequalities

In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. Then a new kernel is obtained and a new theo...

Authors: Mustafa Gürbüz, Ahmet Ocak Akdemir, Saima Rashid and Erhan Set

Some new integral inequalities of Wendorff type for discontinuous functions with integral jump conditions

In this paper, we investigate some new integral inequalities of Wendorff type for discontinuous functions with two independent variables and integral jump conditions. These integral inequalities with discontin...

Authors: Lihong Xing, Donghua Qiu and Zhaowen Zheng