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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

    Content type: Research

    Published on:

  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

    Content type: Research

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  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

    Content type: Research

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  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

    Content type: Research

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  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

    Content type: Research

    Published on:

  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

    Content type: Research

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  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

    Content type: Research

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  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

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  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

    Content type: Research

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  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

  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

    Content type: Research

    Published on:

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