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  1. In this paper, we investigate a variational discretization approximation of parabolic bilinear optimal control problems with control constraints. For the state and co-state variables, triangular linear finite ...

    Authors: Yuelong Tang and Yuchun Hua

    Citation: Journal of Inequalities and Applications 2019 2019:239

    Content type: Research

    Published on:

  2. In the current work, we delineate a comprehensive class of bi-univalent functions connected with a bounded boundary variation to get the estimates of the first two Taylor–Maclaurin coefficients. In addition, c...

    Authors: Huo Tang, N. Magesh, V. K. Balaji and C. Abirami

    Citation: Journal of Inequalities and Applications 2019 2019:237

    Content type: Research

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  3. Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional d...

    Authors: Hamdy M. Ahmed, Mahmoud M. El-Borai, A. S. Okb El Bab and M. Elsaid Ramadan

    Citation: Journal of Inequalities and Applications 2019 2019:233

    Content type: Research

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  4. In this paper, we study the existence of weighted pseudo-almost periodic solutions and the global exponential synchronization of delayed quaternion-valued cellular neural networks (QVCNNs). Firstly, we use the...

    Authors: Yongkun Li, Gui Lü and Xiaofang Meng

    Citation: Journal of Inequalities and Applications 2019 2019:231

    Content type: Research

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  5. In the presented paper, Levinson’s inequality for the 3-convex function is generalized by using two Green functions. Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data ...

    Authors: Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić and Josip Pečarić

    Citation: Journal of Inequalities and Applications 2019 2019:230

    Content type: Research

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  6. The authors would like to express their sincere appreciation to the Deanship of Scientific Research at King Saud University for funding this group No. RG-1437-017. The corrected funding of the original article...

    Authors: Badr Alqahtani, Andreea Fulga, Erdal Karapınar and Vladimir Rakočević

    Citation: Journal of Inequalities and Applications 2019 2019:229

    Content type: Correction

    Published on:

    The original article was published in Journal of Inequalities and Applications 2019 2019:220

  7. A new eigenvalue localization set is given by excluding some proper subsets that do not contain any eigenvalues of matrices from Dashnic–Zusmanovich localization sets. As an application, a sufficient condition...

    Authors: Jianxing Zhao and Lili She

    Citation: Journal of Inequalities and Applications 2019 2019:228

    Content type: Research

    Published on:

  8. In this paper the notion of higher order strongly h-preinvex functions is presented, which unifies several known classes of preinvexity. An identity related to the kth order differentiable functions and Riemann–L...

    Authors: Shanhe Wu, Muhammad Uzair Awan, Marcela V. Mihai, Muhammad Aslam Noor and Sadia Talib

    Citation: Journal of Inequalities and Applications 2019 2019:227

    Content type: Research

    Published on:

  9. A new notion of frames, called the relay fusion frames, for Hilbert spaces has been introduced by the authors. It provides a mathematical framework for applications that require the transmission of signals ove...

    Authors: Guoqing Hong and Pengtong Li

    Citation: Journal of Inequalities and Applications 2019 2019:226

    Content type: Research

    Published on:

  10. In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data poi...

    Authors: Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić and Josip Pečarić

    Citation: Journal of Inequalities and Applications 2019 2019:212

    Content type: Research

    Published on:

  11. In this paper, we introduce the Orlicz space corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse...

    Authors: Ling-Xiong Han, Bai-Ni Guo and Feng Qi

    Citation: Journal of Inequalities and Applications 2019 2019:223

    Content type: Research

    Published on:

  12. In this paper, we prove some fixed point theorems for contractions of rational type in the setting of the extended b-metric spaces. We present some examples to illustrate the validity of our results. Our results ...

    Authors: Badr Alqahtani, Andreea Fulga, Erdal Karapınar and Vladimir Rakočević

    Citation: Journal of Inequalities and Applications 2019 2019:220

    Content type: Research

    Published on:

    The Correction to this article has been published in Journal of Inequalities and Applications 2019 2019:229

  13. In this paper, we adopt conformable fractional integral to develop integral inequalities such as Minkowski and Hermite–Hadamard inequalities. Our results are the generalization of the inequalities obtained by ...

    Authors: Kottakkaran Sooppy Nisar, Asifa Tassaddiq, Gauhar Rahman and Aftab Khan

    Citation: Journal of Inequalities and Applications 2019 2019:217

    Content type: Research

    Published on:

  14. This paper focuses on the issue of detecting the multiple change points for linear processes under negatively super-additive dependence (NSD). We propose a CUSUM-type method in the multiple variance change mod...

    Authors: Yuncai Yu, Xinsheng Liu, Ling Liu and Piao Zhao

    Citation: Journal of Inequalities and Applications 2019 2019:216

    Content type: Research

    Published on:

  15. Stochastic volatility models play an important role in finance modeling. Under a mixed fractional Brownian motion environment, we study the continuity and estimates of a solution to a kind of stochastic differ...

    Authors: Yan Dong

    Citation: Journal of Inequalities and Applications 2019 2019:211

    Content type: Research

    Published on:

  16. In this paper, we consider a new class of singular nonlinear higher order fractional boundary value problems supplemented with sum of Riemann–Stieltjes integral type and nonlocal infinite-point discrete type b...

    Authors: Fang Wang, Lishan Liu and Yonghong Wu

    Citation: Journal of Inequalities and Applications 2019 2019:210

    Content type: Research

    Published on:

  17. In this manuscript, we introduce two iterative methods for finding the common zeros of two H-accretive mappings in uniformly smooth and uniformly convex Banach spaces. The proposed iterative methods are based on ...

    Authors: Rajat Vaish, Mohd. Sarfaraz, Md. Kalimuddin Ahmad and Kaleem Raza Kazmi

    Citation: Journal of Inequalities and Applications 2019 2019:209

    Content type: Research

    Published on:

  18. The objective of this article is to present several new integral equalities involving the multivariate Mittag-Leffler functions which are associated with the Laguerre polynomials. To emphasize our main results...

    Authors: D. L. Suthar, Hafte Amsalu and Kahsay Godifey

    Citation: Journal of Inequalities and Applications 2019 2019:208

    Content type: Research

    Published on:

  19. In this paper we use the fixed point index to study the existence of positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions. Here...

    Authors: Jiqiang Jiang, Donal O’Regan, Jiafa Xu and Zhengqing Fu

    Citation: Journal of Inequalities and Applications 2019 2019:204

    Content type: Research

    Published on:

  20. Fibonacci difference matrix was defined by Kara in his paper (Kara in J. Inequal. Appl. 2013:38 2013). Recently, Khan et al. (Adv. Differ. Equ. 2018:199, 2018) using the Fibonacci difference matrix and ideal c...

    Authors: Vakeel A. Khan, Emrah E. Kara, Henna Altaf, Nazneen Khan and Mobeen Ahmad

    Citation: Journal of Inequalities and Applications 2019 2019:202

    Content type: Research

    Published on:

  21. By using generalized Montgomery identity and Green functions we proved several identities which assist in developing connections with Steffensen’s inequality. Under the assumptions of n-convexity and n-concavity ...

    Authors: Saad Ihsan Butt, Asfand Fahad, Adil Naseer and Josip Pečarić

    Citation: Journal of Inequalities and Applications 2019 2019:199

    Content type: Research

    Published on:

  22. This paper presents a new proof method about the paper (Yuan et al. in Appl. Math. Model. 47:811–825, 2017). In the proof, the global convergence of the Polak–Ribière–Polak algorithm is established without these ...

    Authors: Xiangrong Li, Tianshan Yang and Xiaoliang Wang

    Citation: Journal of Inequalities and Applications 2019 2019:195

    Content type: Research

    Published on:

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