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  1. In this paper, the authors derive some new generalizations of fractional trapezium-like inequalities using the class of harmonic convex functions. Moreover, three new fractional integral identities are given, ...

    Authors: Muhammad Uzair Awan, Artion Kashuri, Kottakkaran Sooppy Nisar, Muhammad Zakria Javed, Sabah Iftikhar, Poom Kumam and Parin Chaipunya
    Citation: Journal of Inequalities and Applications 2022 2022:3
  2. In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals ...

    Authors: Saad Ihsan Butt, Praveen Agarwal, Saba Yousaf and Juan L. G. Guirao
    Citation: Journal of Inequalities and Applications 2022 2022:1
  3. This study introduces extended Branciari quasi-b-distance spaces, a novel implicit contractive condition in the underlying space, and basic fixed-point results, a weak well-posed property, a weak limit shadowing ...

    Authors: Reena Jain, Hemant Kumar Nashine and Vahid Parvaneh
    Citation: Journal of Inequalities and Applications 2021 2021:200
  4. In this paper, we investigate the oscillatory properties of two fourth order differential equations in dependence on boundary behavior of its coefficients at infinity. These properties are established based on...

    Authors: Aigerim Kalybay, Ryskul Oinarov and Yaudat Sultanaev
    Citation: Journal of Inequalities and Applications 2021 2021:199
  5. In this paper, we consider a distributed optimization problem of minimizing sum of convex functions over the intersection of fixed-point constraints. We propose a distributed method for solving the problem. We...

    Authors: Nawarat Ekkarntrong, Tipsuda Arunrat and Nimit Nimana
    Citation: Journal of Inequalities and Applications 2021 2021:197
  6. Hermite’s interpolation is utilized to establish a new generalization of an inequality for higher order convex functions containing Csiszár divergence on time scales. New entropic bounds in q-calculus and h-discr...

    Authors: Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić and Josip Pečarić
    Citation: Journal of Inequalities and Applications 2021 2021:195
  7. The main aim of the present article is to introduce some new ∇-conformable dynamic inequalities of Hardy type on time scales. We present and prove several results using chain rule and Fubini’s theorem on time ...

    Authors: Ahmed A. El-Deeb, Samer D. Makharesh, Eze R. Nwaeze, Olaniyi S. Iyiola and Dumitru Baleanu
    Citation: Journal of Inequalities and Applications 2021 2021:192
  8. The multiple-sets split feasibility problem is the generalization of split feasibility problem, which has been widely used in fuzzy image reconstruction and sparse signal processing systems. In this paper, we ...

    Authors: Wenting Chen and Meixia Li
    Citation: Journal of Inequalities and Applications 2021 2021:190
  9. In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results ex...

    Authors: Abdulkarim Hassan Ibrahim, Poom Kumam, Auwal Bala Abubakar and Jamilu Abubakar
    Citation: Journal of Inequalities and Applications 2021 2021:189
  10. The main motivation of this study is to bring together the field of inequalities with fractional integral operators, which are the focus of attention among fractional integral operators with their features and...

    Authors: Havva Kavurmacı Önalan, Ahmet Ocak Akdemir, Merve Avcı Ardıç and Dumitru Baleanu
    Citation: Journal of Inequalities and Applications 2021 2021:186
  11. In this paper, we consider initial value problems for two different classes of implicit ϕ-Hilfer fractional pantograph differential equations. We use different approach that is based on ...

    Authors: Hojjat Afshari, H. R. Marasi and Jehad Alzabut
    Citation: Journal of Inequalities and Applications 2021 2021:185
  12. There has been some recent interest in investigating the hyperbolic-cotangent types of difference equations and systems of difference equations. Among other things their solvability has been studied. We show t...

    Authors: Stevo Stević, Bratislav Iričanin, Witold Kosmala and Zdeněk Šmarda
    Citation: Journal of Inequalities and Applications 2021 2021:184
  13. In this paper, we study the duality theorems of a nondifferentiable semi-infinite interval-valued optimization problem with vanishing constraints (IOPVC). By constructing the Wolfe and Mond–Weir type dual mode...

    Authors: Haijun Wang and Huihui Wang
    Citation: Journal of Inequalities and Applications 2021 2021:182
  14. Sampling and reconstruction of signals in a shift-invariant space are generally studied under the requirement that the generator is in a stronger Wiener amalgam space, and the error estimates are usually given...

    Authors: Haizhen Li, Xiao Fan and Yan Tang
    Citation: Journal of Inequalities and Applications 2021 2021:179
  15. In this paper, we introduce two factorizations for the Cesàro matrix of order n based on Cesàro and gamma matrices. The results of these factorizations are new inequalities, one of which is a generalized version ...

    Authors: Hadi Roopaei
    Citation: Journal of Inequalities and Applications 2021 2021:177
  16. We introduce the non-homogeneous Dirac-harmonic equation for differential forms and characterize the basic properties of solutions to this new type of differential equations, including the norm estimates and t...

    Authors: Guannan Shi, Shusen Ding and Bing Liu
    Citation: Journal of Inequalities and Applications 2021 2021:176
  17. The fundamental goal of the study under consideration is to establish some of the existence criteria needed for a particular fractional inclusion model of cantilever beam in the setting of quantum calculus usi...

    Authors: Sina Etemad, Azhar Hussain, Atika Imran, Jehad Alzabut, Shahram Rezapour and A. George Maria Selvam
    Citation: Journal of Inequalities and Applications 2021 2021:174
  18. In this paper, we investigate an initial boundary value problem for two-dimensional inhomogeneous incompressible MHD system with density-dependent viscosity. First, we establish a blow-up criterion for strong ...

    Authors: Menglong Su
    Citation: Journal of Inequalities and Applications 2021 2021:173
  19. We propose a new class of implicit relations and an implicit type contractive condition based on it in the relational metric spaces under w-distance functional. Further we derive fixed points results based on the...

    Authors: Reena Jain, Hemant Kumar Nashine and Manuel De la Sen
    Citation: Journal of Inequalities and Applications 2021 2021:169
  20. In this paper, first we prove some new refinements of discrete weighted inequalities with negative powers on finite intervals. Next, by employing these inequalities, we prove that the self-improving property (bac...

    Authors: S. H. Saker, S. S. Rabie and R. P. Agarwal
    Citation: Journal of Inequalities and Applications 2021 2021:168
  21. We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove...

    Authors: Godwin Amechi Okeke, Daniel Francis, Manuel de la Sen and Mujahid Abbas
    Citation: Journal of Inequalities and Applications 2021 2021:163
  22. We establish the Ulam stability of a first-order linear nonautonomous quantum equation with Cayley parameter in terms of the behavior of the nonautonomous coefficient function. We also provide details for some...

    Authors: Douglas R. Anderson and Masakazu Onitsuka
    Citation: Journal of Inequalities and Applications 2021 2021:161
  23. We use the notion of Halpern-type sequence recently introduced by the present authors to conclude two strong convergence theorems for solving the bilevel equilibrium problems proposed by Yuying et al. and some...

    Authors: Chanitnan Jaipranop and Satit Saejung
    Citation: Journal of Inequalities and Applications 2021 2021:160
  24. In this paper, we are concerned with a kind of tempered fractional differential equation Riemann–Stieltjes integral boundary value problems with p-Laplacian operators. By means of the sum-type mixed monotone oper...

    Authors: Bibo Zhou and Lingling Zhang
    Citation: Journal of Inequalities and Applications 2021 2021:159
  25. In this paper, the dynamical behaviors for multiple delayed latent virus model with virus-to-cell infection and cell-to-cell transmissions and humoral immunity are investigated. The virus-to-cell and cell-to-c...

    Authors: Hui Miao, Rong Liu and Meiyan Jiao
    Citation: Journal of Inequalities and Applications 2021 2021:156

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