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  1. In this paper we obtain several refinements of the Jensen inequality on time scales by generalizing Jensen’s functional for n-convex functions. We also investigate the bounds for the identities related to the new...

    Authors: Rabia Bibi, Ammara Nosheen, Shanaz Bano and Josip Pečarić
    Citation: Journal of Inequalities and Applications 2022 2022:15
  2. The conjugate gradient method can be applied in many fields, such as neural networks, image restoration, machine learning, deep learning, and many others. Polak–Ribiere–Polyak and Hestenses–Stiefel conjugate g...

    Authors: Zabidin Salleh, Adel Almarashi and Ahmad Alhawarat
    Citation: Journal of Inequalities and Applications 2022 2022:14
  3. The aim of this paper is to introduce and study an inertial hybrid iterative method for solving generalized equilibrium problems involving Bregman relatively nonexpansive mappings in Banach spaces. We study th...

    Authors: Monairah Alansari, Mohammad Farid and Rehan Ali
    Citation: Journal of Inequalities and Applications 2022 2022:11
  4. In this paper, some special mappings of several variables such as the multicubic and the multimixed quadratic–cubic mappings are introduced. Then, the systems of equations defining a multicubic and a multimixe...

    Authors: Abasalt Bodaghi
    Citation: Journal of Inequalities and Applications 2022 2022:6
  5. A branch of mathematical science known as chemical graph theory investigates the implications of connectedness in chemical networks. A few researchers have looked at the solutions of fractional differential eq...

    Authors: Wajahat Ali, Ali Turab and Juan J. Nieto
    Citation: Journal of Inequalities and Applications 2022 2022:5
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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

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