Articles

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

A new family of orthogonal polynomials in three variables

In this paper we introduce a six-parameter generalization of the four-parameter three-variable polynomials on the simplex and we investigate the properties of these polynomials. Sparse recurrence relations are...

Authors: Rabia Aktaş, Iván Area and Esra Güldoğan

Lyapunov-type inequalities for generalized one-dimensional Minkowski-curvature problems

In this paper, we consider some types of scalar equations and systems of generalized one-dimensional Minkowski-curvature problems. Using an inequality technique, we establish several new Lyapunov-type inequali...

Authors: Haidong Liu

The weighted discrete dynamic inequalities for 4-convex functions, and its generalization on time scales with constant graininess function

Motivated by Pečarić et al. in (J. Math. Inequal. 11(2):543–5502017), we established here weighted discrete dynamic inequalities for the difference of second divided difference of 4-convex functions. Further we e...

Authors: Hira Ashraf Baig and Naveed Ahmad

On the ω-multiple Meixner polynomials of the first kind

In this study, we introduce a new family of discrete multiple orthogonal polynomials, namely ω-multiple Meixner polynomials of the first kind, where ω is a positive real number. Some structural properties of this...

Authors: Sonuç Zorlu Oğurlu and İlkay Elidemir

Tenth order boundary value problem solution existence by fixed point theorem

In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a sol...

Authors: Nicola Fabiano, Nebojša Nikolić, Thenmozhi Shanmugam, Stojan Radenović and Nada Čitaković

Strongly \((\eta ,\omega )\)-convex functions with nonnegative modulus

Authors: Ana M. Tameru, Eze R. Nwaeze and Seth Kermausuor

On some Schwarz type inequalities

First, we establish some Schwarz type inequalities for mappings with bounded Laplacian, then we obtain boundary versions of the Schwarz lemma.

Authors: Miodrag Mateljević and Adel Khalfallah

Some parameterized inequalities by means of fractional integrals with exponential kernels and their applications

We use the definition of a new class of fractional integral operators, recently introduced by Ahmad et al. in [J. Comput. Appl. Math. 353:120–129, 2019], to establish a fractional-type integral identity with one ...

Authors: Tai-Chun Zhou, Zheng-Rong Yuan, Hong-Ying Yang and Ting-Song Du

A new Hermite–Hadamard type inequality for coordinate convex function

In the article, we establish a new Hermite–Hadamard type inequality for the coordinate convex function by constructing two monotonic sequences. The given result is the generalization and improvement of some pr...

Authors: Haisong Cao

On the distance α-spectral radius of a connected graph

Authors: Haiyan Guo and Bo Zhou

Error bounds for mixed set-valued vector inverse quasi-variational inequalities

The purpose of this paper is to introduce and study the mixed set-valued vector inverse quasi-variational inequality problems (MSVIQVIPs) and to obtain error bounds for this kind of MSVIQVIP in terms of the re...

Authors: Shih-sen Chang, Salahuddin, L. Wang, G. Wang and Z. L. Ma

Some approximation properties of new Kantorovich type q-analogue of Balázs–Szabados operators

In this paper, we define a new Kantorovich type q-analogue of the Balázs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem.

Authors: Hayatem Hamal and Pembe Sabancigil

A new proof for the generalized law of large numbers under Choquet expectation

In this article, we employ the elementary inequalities arising from the sub-linearity of Choquet expectation to give a new proof for the generalized law of large numbers under Choquet expectations induced by 2...

Authors: Jing Chen and Zengjing Chen

New refinements of Chebyshev–Pólya–Szegö-type inequalities via generalized fractional integral operators

Fractional analysis, as a rapidly developing area, is a tool to bring new derivatives and integrals into the literature with the effort put forward by many researchers in recent years. The theory of inequaliti...

Authors: Saad Ihsan Butt, Ahmet Ocak Akdemir, Muhammad Yousaf Bhatti and Muhammad Nadeem

Generalization of Szász–Mirakjan–Kantorovich operators using multiple Appell polynomials

Authors: Chetan Swarup, Pooja Gupta, Ramu Dubey and Vishnu Narayan Mishra

Lasota–Opial type conditions for periodic problem for systems of higher-order functional differential equations

Authors: Sulkhan Mukhigulashvili and Bedřich Půža

Some identities of type 2 q-Bernoulli polynomials

Authors: Sang Jo Yun and Jin-Woo Park

Tykhonov well-posedness of split problems

In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is t...

Authors: Qiao-yuan Shu, Mircea Sofonea and Yi-bin Xiao

Concentration inequalities for upper probabilities

In this paper, we obtain a Bernstein-type concentration inequality and McDiarmid’s inequality under upper probabilities for exponential independent random variables. Compared with the classical result, our ine...

Authors: Yuzhen Tan

Complete moment convergence of extended negatively dependent random variables

In this paper, some results on the complete moment convergence of extended negatively dependent (END) random variables are established. The results in the paper improve and extend the corresponding ones of Qiu...

Authors: Mingzhu Song and Quanxin Zhu

Derivation of computational formulas for Changhee polynomials and their functional and differential equations

The goal of this paper is to demonstrate many explicit computational formulas and relations involving the Changhee polynomials and numbers and their differential equations with the help of functional equations...

Authors: Ji Suk So and Yilmaz Simsek