Articles

Criteria for a certain class of the Carathéodory functions and their applications

In this paper, we obtain some potentially useful conditions (or criteria) for the Carathéodory functions as a certain class of analytic functions by applying Nunokawa’s lemma. We also obtain several conditions...

Authors: Nak Eun Cho, H. M. Srivastava, Ebrahim Analouei Adegani and Ahmad Motamednezhad

On convex combinations of harmonic mappings

Authors: Subzar Beig, Young Jae Sim and Nak Eun Cho

Qi’s conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions

Several conjectures posed by Qi on completely monotonic degrees of remainders for the asymptotic formulas of the digamma and trigamma functions are proved.

Authors: Ai-Min Xu and Zhong-Di Cen

An ADMM-based SQP method for separably smooth nonconvex optimization

This work is about a splitting approach for solving separably smooth nonconvex linearly constrained optimization problems. Based on the ideas from two classical methods, namely the sequential quadratic program...

Authors: Meixing Liu and Jinbao Jian

Lyapunov-type inequalities for higher-order half-linear difference equations

In this paper, we will establish some new Lyapunov-type inequalities for some higher-order superlinear–sublinear difference equations with boundary conditions. Our results not only complement the existing resu...

Authors: Haidong Liu

A new error estimate on uniform norm of a parabolic variational inequality with nonlinear source terms via the subsolution concepts

This paper deals with the numerical analysis of parabolic variational inequalities with nonlinear source terms, where the existence and uniqueness of the solution is provided by using Banach’s fixed point theo...

Authors: Salah Boulaaras, Mohamed El Amine Bencheikh Le Hocine and Mohamed Haiour

Some inequalities related to strong convergence of Riesz logarithmic means

In this paper we derive a new strong convergence theorem of Riesz logarithmic means of the one-dimensional Vilenkin–Fourier (Walsh–Fourier) series. The corresponding inequality is pointed out and it is also pr...

Authors: D. Lukkassen, L. E. Persson, G. Tephnadze and G. Tutberidze

Some new Fourier inequalities for unbounded orthogonal systems in Lorentz–Zygmund spaces

Authors: G. Akishev, D. Lukkassen and L. E. Persson

New refinement of the Jensen inequality associated to certain functions with applications

This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are gi...

Authors: Muhammad Adil Khan, Ðilda Pečarić and Josip Pečarić

\(L_{1}\)-Estimation for covariate-adjusted regression

We study a covariate-adjusted regression(CAR) model that is proposed for such situations where both predictors and response in a regression model are not directly observable but are distorted by a multiplicati...

Authors: Yaodong Sun and Dehui Wang

The existence of ground state solution to elliptic equation with exponential growth on complete noncompact Riemannian manifold

Authors: Chungen Liu and Yanjun Liu

Improvements of operator reverse AM-GM inequality involving positive linear maps

In this paper, we shall present some reverse arithmetic-geometric mean operator inequalities for unital positive linear maps. These inequalities improve some corresponding results due to Xue (J. Inequal. Appl....

Authors: Shazia Karim, Ilyas Ali and Muhammad Mushtaq

On Copson’s inequalities for \(0< p<1\)

Authors: Peng Gao and HuaYu Zhao

Toeplitz matrix completion via a low-rank approximation algorithm

In this paper, we propose a low-rank matrix approximation algorithm for solving the Toeplitz matrix completion (TMC) problem. The approximation matrix was obtained by the mean projection operator on the set of...

Authors: Ruiping Wen and Yaru Fu

Generalized fractional integral inequalities for exponentially \((s,m)\)-convex functions

Authors: Xiaoli Qiang, Ghulam Farid, Josip Pečarić and Saira Bano Akbar

An improved approach for studying oscillation of generalized Emden–Fowler neutral differential equation

The purpose of this work is to study the oscillation criteria for generalized Emden–Fowler neutral differential equation. We establish new oscillation criteria using both the technique of comparison with first...

Authors: Osama Moaaz, Elmetwally M. Elabbasy and Belgees Qaraad

On a reverse extended Hardy–Hilbert’s inequality

By the use of the weight coefficients, the idea of introducing parameters and the Euler–Maclaurin summation formula, a reverse extended Hardy–Hilbert inequality and the equivalent forms are given. The equivale...

Authors: Zhenxiao Huang, Yanping Shi and Bicheng Yang

New shrinking iterative methods for infinite families of monotone operators in a Banach space, computational experiments and applications

New shrinking iterative algorithms for approximating common zeros of two infinite families of maximal monotone operators in a real uniformly convex and uniformly smooth Banach space are designed. Two steps of ...

Authors: Li Wei, Rui Chen, Yanan Zhang and Ravi P. Agarwal

Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function

Authors: Guo-Jing Hai and Tie-Hong Zhao

Schur-convexity for compositions of complete symmetric function dual

The Schur-convexity for certain compound functions involving the dual of the complete symmetric function is studied. As an application, the Schur-convexity of some special symmetric functions is discussed and ...

Authors: Huan-Nan Shi, Pei Wang and Jian Zhang

Nonexistence of solutions for the quasilinear parabolic differential inequalities with singular potential term and nonlocal source

This paper is devoted to proving some new nonexistence theorems for a class of quasilinear parabolic differential inequalities with a singular potential term and nonlocal source term in the case of homogeneous...

Authors: Suping Xiao and Zhong Bo Fang

Fixed point theorems for sum operator with parameter

Authors: Nan Zhang, Lingling Zhang, Bibo Zhou and Huimin Tian

Retraction Note: Matsaev type inequalities on smooth cones

The Editors-in-Chief have retracted this article [1] because it significantly overlaps with a previously published article [2]. In addition, the identity of the corresponding author could not be verified: Rosk...

Authors: Sheng Pang and Beatriz Ychussie

Infinitely many solutions for a class of sublinear fractional Schrödinger equations with indefinite potentials

Authors: Wen Guan, Da-Bin Wang and Xinan Hao

Nonlocal controllability of fractional measure evolution equation

Authors: Haibo Gu and Yu Sun

The equivalence of \(F_{a}\)-frames

Authors: Tufail Hussain and Yun-Zhang Li

On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow

This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along ...

Authors: Abimbola Abolarinwa, Sunday O. Edeki and Julius O. Ehigie

K-g-fusion frames in Hilbert spaces

K-g-fusion frames are generalizations of fusion frames, K-fusion frames and g-fusion frames. In this paper, we present some new characterizations of K-g-fusion frames and tight K-g-fusion frames, and give several...

Authors: Yongdong Huang and Yuanyuan Yang

On the distribution of Low Hamming Weight products

Authors: Jianghua Li and Qiao Li

Some properties of pre-quasi norm on Orlicz sequence space

In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach spac...

Authors: Awad A. Bakery and Afaf R. Abou Elmatty

On weak sharp solutions in \((\rho , \mathbf{b}, \mathbf{d})\)-variational inequalities

Authors: Savin Treanţă

Reconstructing the right-hand side of a fractional subdiffusion equation from the final data

Authors: Nguyen Hoang Luc, Dumitru Baleanu, Le Dinh Long and Nguyen-Huu Can

Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations

In this paper, we consider the global existence of strong solutions to the three-dimensional Boussinesq equations on the smooth bounded domain Ω. Based on the blow-up criterion and uniform estimates, we prove tha...

Authors: Zhaoyang Shang and Fuquan Tang

Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems

In this paper, we show the existence of a solution to an even logarithmic Minkowski problem for p-capacity and prove some analogue inequalities of the logarithmic Minkowski inequality for general nonsymmetric con...

Authors: Lewen Ji

Existence of extremal solutions for discontinuous Stieltjes differential equations

Stieltjes differential equations, which contain equations with impulses and equations on time scales as particular cases, simply consist in replacing usual derivatives by derivatives with respect to a nondecre...

Authors: Rodrigo López Pouso and Ignacio Márquez Albés

On some inequalities relative to the Pompeiu–Chebyshev functional

In this paper we study the utility of the functional Pompeiu–Chebyshev in some inequalities. Some results obtained by Alomari will be generalized regarding inequalities with Pompeiu–Chebyshev type functionals,...

Authors: Daniel Ianoşi and Adonia-Augustina Opriş

Approximation on a class of Szász–Mirakyan operators via second kind of beta operators

In the present article, we construct a new sequence of positive linear operators via Dunkl analogue of modified Szász–Durrmeyer operators. We study the moments and basic results. Further, we investigate the po...

Authors: M. Nasiruzzaman, Nadeem Rao, Anshul Srivastava and Ravi Kumar

Strong laws for weighted sums of random variables satisfying generalized Rosenthal type inequalities

Authors: Yanchun Yi, Pingyan Chen and Soo Hak Sung

Strong convergence of an inertial iterative algorithm for variational inequality problem, generalized equilibrium problem, and fixed point problem in a Banach space

We propose and analyze an inertial iterative algorithm to approximate a common solution of generalized equilibrium problem, variational inequality problem, and fixed point problem in the framework of a 2-unifo...

Authors: Monairah Alansari, Rehan Ali and Mohammad Farid

New estimations for the Berezin number inequality

Authors: Mojtaba Bakherad and Ulas Yamancı

Some new discrete Hilbert’s inequalities involving Fenchel–Legendre transform

Some new Hilbert-type inequalities involving Fenchel–Legendre transform are introduced. These inequalities give more general forms of some previously proved inequalities.

Authors: A. Hamiaz and W. Abuelela

Local monotonicity coefficients in Orlicz sequence spaces equipped with the p-Amemiya norm

Authors: Xin He, Yunan Cui and Henryk Hudzik

Nonlinear ordered variational inclusion problem involving XOR operation with fuzzy mappings

In the setting of real ordered positive Hilbert spaces, a nonlinear fuzzy ordered variational inclusion problem with its corresponding nonlinear fuzzy ordered resolvent equation problem involving XOR operation...

Authors: Iqbal Ahmad, Syed Shakaib Irfan, Mohammad Farid and Preeti Shukla

Convergence of λ-Bernstein operators based on (p, q)-integers

In the present paper, we construct a new class of positive linear λ-Bernstein operators based on (p, q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators ...

Authors: Qing-Bo Cai and Wen-Tao Cheng

Multipliers for Jacobi expansions in the Hardy spaces

Authors: Zhong Xue, Yehao Shi and Zhongkai Li

Composite extragradient implicit rule for solving a hierarch variational inequality with constraints of variational inclusion and fixed point problems

Authors: Lu-Chuan Ceng and Meijuan Shang

A sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and its applications to (directed) hypergraphs

In this paper, we obtain a sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and characterize when this bound is achieved. Furthermore, this result deduces the main result in [X. Duan and...

Authors: Chuang Lv, Lihua You and Xiao-Dong Zhang

A stochastic Gronwall inequality in random time horizon and its application to BSDE

In this paper, we introduce and prove a stochastic Gronwall inequality in an (unbounded) random time horizon. As an application, we prove a comparison theorem for backward stochastic differential equation (BSD...

Authors: Hun O, Mun-Chol Kim and Chol-Kyu Pak

New class of G-Wolfe-type symmetric duality model and duality relations under \(G_{f}\)-bonvexity over arbitrary cones

This paper is devoted to theoretical aspects in nonlinear optimization, in particular, duality relations for some mathematical programming problems. In this paper, we introduce a new generalized class of secon...

Authors: Ramu Dubey, Arvind Kumar, Rifaqat Ali and Lakshmi Narayan Mishra

Optimal location of a thin rigid inclusion for a problem describing equilibrium of a composite Timoshenko plate with a crack

We consider equilibrium problems for a cracked composite plate with a thin cylindrical rigid inclusion. Deformation of an elastic matrix is described by the Timoshenko model. The plate is assumed to have a thr...

Authors: Nyurgun Lazarev, Natalyya Romanova and Galina Semenova