Articles

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

Some inequalities obtained by fractional integrals of positive real orders

The primary objective of this study is to handle new generalized Hermite–Hadamard type inequalities with the help of the Katugampola fractional integral operator, which generalizes the Hadamard and Riemann–Lio...

Authors: Mustafa Gürbüz, Yakup Taşdan and Erhan Set

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

Opial integral inequalities for generalized fractional operators with nonsingular kernel

Authors: Pshtiwan Othman Mohammed and Thabet Abdeljawad

Certain Grüss-type inequalities via tempered fractional integrals concerning another function

We study a generalized left sided tempered fractional (GTF)-integral concerning another function Ψ in the kernel. Then we investigate several kinds of inequalities such as Grüss-type and certain other related ine...

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

Constrained characteristic functions, multivariable interpolation, and invariant subspaces

Authors: Jian Hu, Maofa Wang and Wei Wang

New two types of semi-implicit viscosity iterations for approximating the fixed points of nonexpansive operators associated with contraction operators and applications

Motivated and inspired by the growing contribution with respect to iterative approximations from some researchers in the literature, we design and investigate two types of brand-new semi-implicit viscosity ite...

Authors: Ting-jian Xiong and Heng-you Lan

Strong consistency rates for the estimators in a heteroscedastic EV model with missing responses

Authors: Jing-Jing Zhang and Yun-Peng Xiao

Gel’fand-N-width in probabilistic setting

Authors: Xin Tan, Yanan Wang, Lu Sun, Xingfeng Shao and Guanggui Chen

Retraction Note: Generalization of the Levinson inequality with applications to information theory

The Publisher has retracted this article [1]. Owing to an administrative error it was published without the amendments made by the authors at the proof stage. A second version of the article with the authors’ ...

Authors: Muhammad Adeel, Khuram Ali Khan, Đilda Pečarić and Josip Pečarić

Stochastic Lie bracket (derivation, derivation) in MB-algebras

By a stochastic controller, we make stable the pseudo stochastic Lie bracket (derivation, derivation) in complex MB-algebras. Next, we get an approximation by a stochastic Lie bracket (derivation, derivation) ...

Authors: Masoumeh Madadi, Reza Saadati, Choonkil Park and John Michael Rassias

A class of Hilbert-type multiple integral inequalities with the kernel of generalized homogeneous function and its applications

Authors: Yong Hong, Jianquan Liao, Bicheng Yang and Qiang Chen

Some fixed point theorems for \((\psi -\phi )\)-almost weak contractions in S-metric spaces solving conformable differential equations

Authors: Hemant Kumar Nashine, G. S. Saluja and Rabha W. Ibrahim

Dimension reduction for compressible Navier–Stokes equations with density-dependent viscosity

Authors: Mingyu Zhang

Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial

Authors: Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić and Josip Pečarić

Generalizations of Zygmund-type integral inequalities for the polar derivative of a complex polynomial

Some Zygmund-type integral inequalities for the polar derivatives of complex polynomials, inspired by the classical Bernstein-type inequalities that relate the uniform norms of polynomials and their derivative...

Authors: Gradimir V. Milovanović and Abdullah Mir

A limited memory BFGS subspace algorithm for bound constrained nonsmooth problems

The subspace technique has been widely used to solve unconstrained/constrained optimization problems and there exist many results that have been obtained. In this paper, a subspace algorithm combining with lim...

Authors: Xiangrong Li

New proofs on two recent inequalities for unitarily invariant norms

In this short note, we provide alternative proofs for several recent results due to Audenaert (Oper. Matrices 9:475–479, 2015) and Zou (J. Math. Inequal. 10:1119–1122, 2016; Linear Algebra Appl. 552:154–162, 2019

Authors: Junjian Yang and Linzhang Lu