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  1. 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

    Citation: Journal of Inequalities and Applications 2020 2020:85

    Content type: Research

    Published on:

  2. 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

    Citation: Journal of Inequalities and Applications 2020 2020:78

    Content type: Research

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  3. 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

    Citation: Journal of Inequalities and Applications 2020 2020:79

    Content type: Research

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  4. 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

    Citation: Journal of Inequalities and Applications 2020 2020:76

    Content type: Research

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  5. 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

    Citation: Journal of Inequalities and Applications 2020 2020:75

    Content type: Research

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  6. 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

    Citation: Journal of Inequalities and Applications 2020 2020:69

    Content type: Research

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  7. 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

    Citation: Journal of Inequalities and Applications 2020 2020:68

    Content type: Research

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  8. 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

    Citation: Journal of Inequalities and Applications 2020 2020:67

    Content type: Research

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  9. 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

    Citation: Journal of Inequalities and Applications 2020 2020:64

    Content type: Research

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  10. 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

    Citation: Journal of Inequalities and Applications 2020 2020:62

    Content type: Retraction Note

    Published on:

    The original article was published in Journal of Inequalities and Applications 2015 2015:108

  11. 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

    Citation: Journal of Inequalities and Applications 2020 2020:58

    Content type: Research

    Published on:

  12. 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

    Citation: Journal of Inequalities and Applications 2020 2020:57

    Content type: Research

    Published on:

  13. 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

    Citation: Journal of Inequalities and Applications 2020 2020:55

    Content type: Research

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  14. 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

    Citation: Journal of Inequalities and Applications 2020 2020:50

    Content type: Research

    Published on:

  15. 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

    Citation: Journal of Inequalities and Applications 2020 2020:46

    Content type: Research

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  16. 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

    Citation: Journal of Inequalities and Applications 2020 2020:45

    Content type: Research

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  17. 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

    Citation: Journal of Inequalities and Applications 2020 2020:42

    Content type: Research

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  18. 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

    Citation: Journal of Inequalities and Applications 2020 2020:36

    Content type: Research

    Published on:

  19. 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

    Citation: Journal of Inequalities and Applications 2020 2020:35

    Content type: Research

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  20. 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

    Citation: Journal of Inequalities and Applications 2020 2020:32

    Content type: Research

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  21. 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

    Citation: Journal of Inequalities and Applications 2020 2020:30

    Content type: Research

    Published on:

  22. 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

    Citation: Journal of Inequalities and Applications 2020 2020:29

    Content type: Research

    Published on:

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