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  1. Content type: Research

    In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on ...

    Authors: Taekyun Kim, Dae San Kim, Han Young Kim and Jongkyum Kwon

    Citation: Journal of Inequalities and Applications 2019 2019:265

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  2. Content type: Research

    The main aim of this paper is to establish some Fejér-type inequalities involving hypergeometric functions in terms of GA-s-convexity. For this purpose, we construct a Hadamard k-fractional identity related to ge...

    Authors: Hui Lei, Gou Hu, Zhi-Jie Cao and Ting-Song Du

    Citation: Journal of Inequalities and Applications 2019 2019:264

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  3. Content type: Research

    In this paper, we introduce a new approach to the fractional derivation which generalizes the classical Hadamard fractional derivative. We prove some properties of this new approach and also establish some res...

    Authors: Muhammad Samraiz, Erhan Set, Muhammad Hasnain and Gauhar Rahman

    Citation: Journal of Inequalities and Applications 2019 2019:263

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  4. Content type: Research

    This paper consider the existence, uniqueness and exponential stability in the pth moment of mild solution for impulsive neutral stochastic integro-differential equations driven simultaneously by fractional Brown...

    Authors: Xia Zhou, Dongpeng Zhou and Shouming Zhong

    Citation: Journal of Inequalities and Applications 2019 2019:262

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  5. Content type: Research

    We study an approximate coincidence point and a common fixed point problem for a hybrid pair of mappings with constraints in Menger PM-spaces, and obtain some new results. We derive interesting consequences of...

    Authors: Zhaoqi Wu, Mengdi Liu, Chuanxi Zhu and Chunfang Chen

    Citation: Journal of Inequalities and Applications 2019 2019:254

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  6. Content type: Research

    In this paper, we introduce a new viscosity-type iteration process for approximating a common solution of a finite family of split variational inclusion problem and fixed point problem. We prove that the propo...

    Authors: C. Izuchukwu, F. O. Isiogugu and C. C. Okeke

    Citation: Journal of Inequalities and Applications 2019 2019:253

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  7. Content type: Research

    By using the concept of Γ-distance, we prove EVP (Ekeland’s variational principle) on quasi-F-metric (q-F-m) spaces. We apply EVP to get the existence of the solution to EP (equilibrium problem) in complete q-F-m...

    Authors: Eshagh Hashemi, Reza Saadati and Choonkil Park

    Citation: Journal of Inequalities and Applications 2019 2019:250

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  8. Content type: Research

    In this study, we introduce a class of new generalized parametric nonlinear ordered variational inequality problems and discuss its existence result. Also, we prove the sensitivity of the solution for the para...

    Authors: Kottakkaran Sooppy Nisar, Mohd. Sarfaraz, Ahmed Morsy and Md. Kalimuddin Ahmad

    Citation: Journal of Inequalities and Applications 2019 2019:249

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  9. Content type: Research

    In this paper, we are concerned with the split equality common fixed point problem. It is a significant generalization of the split feasibility problem, which can be used in various disciplines, such as medici...

    Authors: Meixia Li, Xueling Zhou and Haitao Che

    Citation: Journal of Inequalities and Applications 2019 2019:248

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  10. Content type: Research

    To solve large-scale unconstrained optimization problems, a modified PRP conjugate gradient algorithm is proposed and is found to be interesting because it combines the steepest descent algorithm with the conj...

    Authors: Gonglin Yuan, Tingting Li and Wujie Hu

    Citation: Journal of Inequalities and Applications 2019 2019:247

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  11. Content type: Research

    Our aim in this present paper is to establish several Chebyshev type inequalities involving generalized fractional conformable integral operator recently introduced by T.U. Khan and M.A. Khan (J. Comput. Appl....

    Authors: Kottakkaran Sooppy Nisar, Gauhar Rahman and Khaled Mehrez

    Citation: Journal of Inequalities and Applications 2019 2019:245

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  12. Content type: Research

    In the last few years, various researchers studied the so-called conformable integrals and derivatives. Based on that notion some authors used modified conformable derivatives (proportional derivatives) to gen...

    Authors: Gauhar Rahman, Thabet Abdeljawad, Aftab Khan and Kottakkaran Sooppy Nisar

    Citation: Journal of Inequalities and Applications 2019 2019:244

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  13. Content type: Research

    Using the third-order differential subordination basic results, we introduce certain classes of admissible functions and investigate some applications of third-order differential subordination for p-valent functi...

    Authors: Hanaa M. Zayed and Teodor Bulboacă

    Citation: Journal of Inequalities and Applications 2019 2019:242

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  14. Content type: Research

    We present some fundamental results and definitions regarding Jensen’s inequality with the aim of obtaining new generalizations of cyclic refinements of Jensen’s inequality from convex to higher order convex f...

    Authors: Nasir Mehmood, Saad Ihsan Butt, Ðilda Pečarić and Josip Pečarić

    Citation: Journal of Inequalities and Applications 2019 2019:240

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  15. Content type: Research

    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

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  16. Content type: Research

    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

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  17. Content type: Research

    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

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  18. Content type: Research

    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

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  19. Content type: Research

    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

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  20. Content type: Correction

    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

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

  21. Content type: Research

    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

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  22. Content type: Research

    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

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  23. Content type: Research

    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

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  24. Content type: Research

    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

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  25. Content type: Research

    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

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  26. Content type: Research

    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

    Published on:

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

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