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  1. 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

    Citation: Journal of Inequalities and Applications 2020 2020:97

    Content type: Research

    Published on:

  2. 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

    Citation: Journal of Inequalities and Applications 2020 2020:96

    Content type: Research

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  3. 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

    Citation: Journal of Inequalities and Applications 2020 2020:94

    Content type: Research

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  4. 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

    Citation: Journal of Inequalities and Applications 2020 2020:92

    Content type: Research

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  5. 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

    Citation: Journal of Inequalities and Applications 2020 2020:86

    Content type: Research

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  6. 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

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  7. 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

    Citation: Journal of Inequalities and Applications 2020 2020:82

    Content type: Research

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  8. 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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  9. 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

    Published on:

  10. 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

    Published on:

  11. 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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  12. 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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  13. 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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  14. 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

    Published on:

  15. 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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  16. 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

  17. 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:

  18. 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:

  19. 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

    Published on:

  20. 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:

  21. 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

    Published on:

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