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  1. Content type: Research

    This paper studies the regularity criteria of weak solutions for Bénard fluid flows in three dimensions. When the velocity field and the temperature belong to some critical Besov spaces on ...

    Authors: Liangliang Ma and Lei Zhang

    Citation: Journal of Inequalities and Applications 2019 2019:63

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  2. Content type: Research

    In this work, we introduce certain subclasses of analytic functions involving the integral operators that generalize the class of uniformly starlike, convex, and close-to-convex functions with respect to symme...

    Authors: Shahid Mahmood, Imran Khan, Hari Mohan Srivastava and Sarfraz Nawaz Malik

    Citation: Journal of Inequalities and Applications 2019 2019:59

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  3. Content type: Research

    In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier ...

    Authors: Syed Zaheer Ullah, Muhammad Adil Khan and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2019 2019:58

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  4. Content type: Research

    In this paper, we investigate the evolution of a strictly convex closed planar curve driven by a hyperbolic normal flow. The asymptotical behavior of the evolving curves has also been shown if the velocity of the...

    Authors: Zhe Zhou, Chuan-Xi Wu and Jing Mao

    Citation: Journal of Inequalities and Applications 2019 2019:52

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  5. Content type: Research

    In the paper, we introduce two concepts of Katugampola conformable partial derivatives and α-conformable integrals. As applications, we establish Opial type inequalities for Katugampola conformable partial deriva...

    Authors: Chang-Jian Zhao and Wing-Sum Cheung

    Citation: Journal of Inequalities and Applications 2019 2019:51

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  6. Content type: Research

    We consider the set of real zero diagonal symmetric matrices whose underlying graph, if not told otherwise, is bipartite. Then we establish relations between the eigenvalues of such matrices and those arising ...

    Authors: Abdullah Alazemi, Milica Anđelić and Slobodan K. Simić

    Citation: Journal of Inequalities and Applications 2019 2019:50

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  7. Content type: Research

    We introduce concepts of interval-valued univex mappings, consider optimization conditions for interval-valued univex functions for the constrained interval-valued minimization problem, and show examples for t...

    Authors: Lifeng Li, Jianke Zhang and Chang Zhou

    Citation: Journal of Inequalities and Applications 2019 2019:49

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  8. Content type: Research

    When a Fourier series is used to approximate a function with a jump discontinuity, the Gibbs phenomenon always exists. This similar phenomenon exists for wavelets expansions. Based on the Gibbs phenomenon of a...

    Authors: Jie Zhou, Hongchan Zheng and Baoxing Zhang

    Citation: Journal of Inequalities and Applications 2019 2019:48

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  9. Content type: Research

    In the present paper, we prove that the probabilities of the Pólya urn distribution (with negative replacement) satisfy a monotonicity property similar to that of the binomial distribution. As a consequence, w...

    Authors: Florenţa Tripşa and Nicolae R. Pascu

    Citation: Journal of Inequalities and Applications 2019 2019:47

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  10. Content type: Research

    In this paper, we establish some results on the complete moment convergence for weighted sums of pairwise negatively quadrant dependent (PNQD) random variables. The obtained results improve the corresponding o...

    Authors: Meimei Ge, Zexing Dai and Yongfeng Wu

    Citation: Journal of Inequalities and Applications 2019 2019:46

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  11. Content type: Research

    This paper provides some new results on robust approximate optimal solutions of a fractional semi-infinite optimization problem under uncertainty data in the constraint functions. By employing conjugate analys...

    Authors: Jing Zeng, Peng Xu and Hongyong Fu

    Citation: Journal of Inequalities and Applications 2019 2019:45

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  12. Content type: Research

    In the present research, we develop some integral inequalities of Hermite–Hadamard type for differentiable η-convex functions. Moreover, our results include several new and known results as particular cases.

    Authors: Young Chel Kwun, Muhammad Shoaib Saleem, Mamoona Ghafoor, Waqas Nazeer and Shin Min Kang

    Citation: Journal of Inequalities and Applications 2019 2019:44

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  13. Content type: Research

    Let Y be a uniformly convex multi-Banach space which has not a Frechet differentiable norm. We use the technique of product net to obtain the nonlinear ergodic theorems in Y. Finally, let the dual of uniformly co...

    Authors: H. M. Kenari, Reza Saadati and Choonkil Park

    Citation: Journal of Inequalities and Applications 2019 2019:43

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  14. Content type: Research

    Sierpiński graphs are extensively studied graphs of fractal nature with applications in topology, mathematics of Tower of Hanoi and computer science. The generalized Sierpiński graphs are defined by replicatio...

    Authors: Imran Javaid, Hira Benish, Muhammad Imran, Amna Khan and Zafar Ullah

    Citation: Journal of Inequalities and Applications 2019 2019:37

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  15. Content type: Research

    Inspired by symmetric Cauchy tensors, we define fourth-order partially symmetric Cauchy tensors with their generating vectors. In this article, we focus on the necessary and sufficient conditions for the M-pos...

    Authors: Haitao Che, Haibin Chen and Yiju Wang

    Citation: Journal of Inequalities and Applications 2019 2019:32

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  16. Content type: Research

    This paper investigates the new stability criteria for the asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities. Firstly, not only the known constant time delay, but als...

    Authors: Wei Zheng, Hongbin Wang, Fuchun Sun, Shuhuan Wen, Zhiming Zhang and Hongrui Wang

    Citation: Journal of Inequalities and Applications 2019 2019:30

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  17. Content type: Research

    In this paper, we investigate Dragomir and Gosa type inequalities in the setting of b-metric spaces. As an application, we consider some inequalities in b-normed spaces. We prove that the inequalities admit geome...

    Authors: Erdal Karapınar and Maha Noorwali

    Citation: Journal of Inequalities and Applications 2019 2019:29

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  18. Content type: Research

    We first establish q-non uniform difference versions of the integral inequalities of Hölder, Cauchy–Schwarz, and Minkowski of classical mathematical analysis and then integral inequalities of Grönwall and Bernoul...

    Authors: Gaspard Bangerezako, Jean Paul Nuwacu and Enas M Shehata

    Citation: Journal of Inequalities and Applications 2019 2019:28

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  19. Content type: Research

    In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions. We also show two basic ψ-Riemann–Liouville fractio...

    Authors: Kui Liu, JinRong Wang and Donal O’Regan

    Citation: Journal of Inequalities and Applications 2019 2019:27

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  20. Content type: Research

    We consider the modified degenerate q-Daehee polynomials and numbers of the second kind which can be represented as the p-adic q-integral. Furthermore, we investigate some properties of those polynomials and numb...

    Authors: Jeong Gon Lee, Won Joo Kim, Lee-Chae Jang and Byung Moon Kim

    Citation: Journal of Inequalities and Applications 2019 2019:24

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  21. Content type: Research

    In this paper, we consider a class of quasilinear third-order differential equations with a delayed argument. We establish new sufficient conditions for all solutions of such equations to be oscillatory or alm...

    Authors: G. E. Chatzarakis, J. Džurina and I. Jadlovská

    Citation: Journal of Inequalities and Applications 2019 2019:23

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  22. Content type: Research

    A Lyapunov-type inequality is derived for a nonlinear fractional boundary value problem involving Caputo-type fractional derivative. The obtained inequality provides a necessary condition for the existence of ...

    Authors: Mohamed Jleli, Bessem Samet and Yong Zhou

    Citation: Journal of Inequalities and Applications 2019 2019:19

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