Articles

Analysis on control of a class of uncertain stochastic system by inequality technique

In this paper, some theoretical results of PID control of second order nonlinear uncertain stochastic system are given via inequalities. We extend the results of the corresponding deterministic systems to stoc...

Authors: Qinghua Lu and Longsuo Li

Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces

In this paper, we obtain the endpoint boundedness for the commutators of singular integral operators with BMO functions and the associated maximal operators on weighted generalized Morrey spaces. We also get simi...

Authors: Jinyun Qi, Xuefang Yan and Wenming Li

Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions

In this paper, we establish some new Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions in the second sense. Meanwhile, we present many useful estimates o...

Authors: Yong Zhao, Haiwei Sang, Weicheng Xiong and Zhongwei Cui

On \(\mathcal{I}_{{\theta}_{2}}\)-convergence in fuzzy normed spaces

In this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed...

Authors: Muhammed Recai Türkmen

On strongly starlike and strongly convex functions with bounded radius and bounded boundary rotation

In this paper, we introduce and investigate new classes of normalized analytic functions in an open unit disk with bounded radius and bounded boundary rotation by using the subordination. We discuss inclusion ...

Authors: Sabir Hussain and Khalil Ahmad

New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions

In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously know...

Authors: Muhammad Uzair Awan, Nousheen Akhtar, Sabah Iftikhar, Muhammad Aslam Noor and Yu-Ming Chu

Taylor theory associated with Hahn difference operator

Authors: Karima Oraby and Alaa Hamza

Fractional Ostrowski type inequalities for bounded functions

We first establish some results involving Riemann–Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional Ostrowski type inequalities for functions in class of fun...

Authors: Samet Erden, Hüseyin Budak, Mehmet Zeki Sarikaya, Sabah Iftikhar and Poom Kumam

Norm inequalities involving a special class of functions for sector matrices

Authors: Davood Afraz, Rahmatollah Lashkaripour and Mojtaba Bakherad

Approximation on a class of Phillips operators generated by q-analogue

The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determin...

Authors: Abdullah Alotaibi

A study on Copson operator and its associated sequence space

In this research, we investigate two types of Copson matrices, the generalized Copson matrix and the Copson matrix of order n, and their associated sequence spaces generated by these matrices. We also investigate...

Authors: Hadi Roopaei

On stable entire solutions of sub-elliptic system involving advection terms with negative exponents and weights

Authors: Belgacem Rahal

Optimal bounds for Toader mean in terms of general means

Authors: Qian Zhang, Bing Xu and Maoan Han

Norm of Hilbert operator on sequence spaces

In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.

Authors: Hadi Roopaei

\((p,q)\)-Generalization of Szász–Mirakjan operators and their approximation properties

Authors: Mustafa Kara and Nazim I. Mahmudov

Well-posedness for 3D nematic liquid crystal flows with damping

Authors: Hui Liu, Chengfeng Sun and Jie Xin

Sharp trapezoid and mid-point type inequalities on closed balls in \(\mathbb{R}^{3}\)

Authors: M. Rostamian Delavar

Retraction Note: A remark on the Dirichlet problem in a half-plane

The Editor-in-Chief has retracted this article [1] because it shows significant overlap with a previously published article [2]. The article also shows evidence of peer review manipulation. In addition, the id...

Authors: Tao Zhao and Alexander Yamada Jr

Global structure of one-sign solutions for a simply supported beam equation

Authors: Dongliang Yan, Ruyun Ma and Xiaoxiao Su

The new spectral conjugate gradient method for large-scale unconstrained optimisation

The spectral conjugate gradient methods are very interesting and have been proved to be effective for strictly convex quadratic minimisation. In this paper, a new spectral conjugate gradient method is proposed...

Authors: Li Wang, Mingyuan Cao, Funa Xing and Yueting Yang

A note on degenerate Genocchi and poly-Genocchi numbers and polynomials

Recently, Dolgy–Jang introduced the poly-Genocchi polynomials and numbers arising from the modified polyexponential function. In this paper, we study the degenerate poly-Genocchi polynomials and numbers constr...

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

Inequalities of Green’s functions and positive solutions to nonlocal boundary value problems

In this paper, we discuss the positive solutions of beam equations with the nonlinearities including the slope and bending moment under nonlocal boundary conditions involving Stieltjes integrals. We pose some ...

Authors: Shijie Fan, Pengxu Wen and Guowei Zhang

Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence

In this paper, we give refinements of the integral form of Jensen’s inequality and the Lah–Ribarič inequality. Using these results, we obtain a refinement of the Hölder inequality and a refinement of some ineq...

Authors: J. Pečarić and J. Perić

Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals

In this paper, we obtain the Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals. We also discuss some special cases.

Authors: Naila Mehreen and Matloob Anwar

Some higher norm inequalities for composition of power operators

Authors: Huacan Li and Qunfang Li

The Crank–Nicolson finite element method for the 2D uniform transmission line equation

We develop the Crank–Nicolson finite element (CNFE) method for the two-dimensional (2D) uniform transmission line equation, study the stability and existence as well as error estimates for the CNFE solutions o...

Authors: Hulin Ren, Yiting Fan and Zhendong Luo

Arithmetic properties derived from coefficients of certain eta quotients

Authors: Jihyun Hwang, Yan Li and Daeyeoul Kim

Solutions of boundary value problems on extended-Branciari b-distance

In this paper, we consider a new distance structure, extended Branciari b-distance, to combine and unify several distance notions and obtain fixed point results that cover several existing ones in the correspondi...

Authors: Thabet Abdeljawad, Erdal Karapınar, Sumati Kumari Panda and Nabil Mlaiki

Asymptotically almost periodic dynamics on delayed Nicholson-type system involving patch structure

This paper explores a delayed Nicholson-type system involving patch structure. Applying differential inequality techniques and the fluctuation lemma, we establish a new sufficient condition which guarantees th...

Authors: Hong Zhang, Qian Cao and Hedi Yang

Generalizations of some classical theorems to D-normal operators on Hilbert spaces

Authors: M. Dana and R. Yousefi

Time-delayed local feedback control for a chaotic finance system

In this paper, we consider the local control problem for a chaotic finance system via the time-delayed feedback. Using the Lyapunov–Krasovskii stability theorem, the quadratic system theory, some integral ineq...

Authors: Erfeng Xu, Yingrui Zhang and Yonggang Chen

On some new fixed point results in fuzzy b-metric spaces

This paper consists of several fixed point theorems in the fuzzy b-metric spaces. As an important result, we give a sufficient condition for a sequence to be Cauchy in the fuzzy b-metric space. Thus we simplify t...

Authors: Dušan Rakić, Aiman Mukheimer, Tatjana Došenović, Zoran D. Mitrović and Stojan Radenović

Investigation of suitability of marbles to standards with inequality expressions and statistical approach using some physical and mechanical properties

Marble, one of the metamorphic rock formation products, forms by undergoing different physical and chemical processes. The marble samples are tested under laboratory conditions to understand these processes. T...

Authors: Ozge Ozer, Fusun Yalcin, Orhan Kemal Tarinc and Mustafa Gurhan Yalcin

A lower bound for the area of Plateau foams

Real foams can be viewed as geometrically well-organized dispersions of more or less spherical bubbles in a liquid. When the foam is so drained that the liquid content significantly decreases, the bubbles beco...

Authors: Vicent Gimeno, Steen Markvorsen and José M. Sotoca

Finite-approximate controllability of fractional stochastic evolution equations with nonlocal conditions

This paper deals with the finite-approximate controllability for a class of fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space. We establish sufficient conditions for...

Authors: Yonghong Ding and Yongxiang Li

On Hardy-type integral inequalities in the whole plane related to the extended Hurwitz-zeta function

Using weight functions, we establish a few equivalent statements of two kinds of Hardy-type integral inequalities with nonhomogeneous kernel in the whole plane. The constant factors related to the extended Hur...

Authors: Michael Th. Rassias, Bicheng Yang and Andrei Raigorodskii

A class of new derivative-free gradient type methods for large-scale nonlinear systems of monotone equations

In this paper, we present a class of new derivative-free gradient type methods for large-scale nonlinear systems of monotone equations. The methods combine the RMIL conjugate gradient method, the strategy of h...

Authors: Xiaowei Fang

Refining and reversing the weighted arithmetic–geometric mean inequality involving convex functionals and application for the functional entropy

In this paper, we present some refinements and reverses for some inequalities involving the weighted arithmetic mean and the weighted geometric mean of two convex functionals. Inequalities involving the Heinz ...

Authors: Mustapha Raïssouli and Mashael Almozini

Further refinements of reversed AM–GM operator inequalities

In this paper, we shall give further improvements of reversed AM–GM operator inequalities due to Yang et al. (Math. Slovaca 69:919–930, 2019) for matrices and positive linear map.

Authors: Yonghui Ren and Pengtong Li

Asymptotic behavior of reciprocal sum of two products of Fibonacci numbers

Authors: Ho-Hyeong Lee and Jong-Do Park

Some inequalities related to \(2\times 2\) block sector partial transpose matrices

Authors: Junjian Yang, Linzhang Lu and Zhen Chen

On the Hurwitz zeta function with an application to the beta-exponential distribution

We prove a monotonicity property of the Hurwitz zeta function which, in turn, translates into a chain of inequalities for polygamma functions of different orders. We provide a probabilistic interpretation of o...

Authors: Julyan Arbel, Olivier Marchal and Bernardo Nipoti

Pseudo-almost-periodic solutions of quaternion-valued RNNs with mixed delays via a direct method

In this paper, we are concerned with the existence and global exponential stability of pseudo-almost-periodic solutions for quaternion-valued recurrent neural networks (RNNs) with time-varying delays. By using...

Authors: Yongkun Li, Jianglian Xiang and Bing Li

Approximate Benson efficient solutions for set-valued equilibrium problems

In locally convex Hausdorff topological vector spaces, the approximate Benson efficient solution is proposed for set-valued equilibrium problems and its relationship to the Benson efficient solution is discuss...

Authors: Shasha Hu, Yihong Xu and Zhichao Niu

The existence of solutions for nonlinear fractional boundary value problem and its Lyapunov-type inequality involving conformable variable-order derivative

We consider a nonlinear fractional boundary value problem involving conformable variable-order derivative with Dirichlet conditions. We prove the existence of solutions to the considered problem by using the u...

Authors: Jie Wang and Shuqin Zhang

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

Exponential type convexity and some related inequalities

In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly intro...

Authors: Mahir Kadakal and İmdat İşcan

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