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  1. In the present paper, Stancu type generalizations of the q-analog of Lupaş Bernstein operators with shifted knots are introduced. Some approximation results and rate of convergence for these operators are investi...

    Authors: M. Mursaleen, Mohd Qasim, Asif Khan and Zaheer Abbas

    Citation: Journal of Inequalities and Applications 2020 2020:28

    Content type: Research

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  2. In this paper, we first propose a new three-term conjugate gradient (CG) method, which is based on the least-squares technique, to determine the CG parameter, named LSTT. And then, we present two improved vari...

    Authors: Chunming Tang, Shuangyu Li and Zengru Cui

    Citation: Journal of Inequalities and Applications 2020 2020:27

    Content type: Research

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  3. In this paper, a fractional model is used to solve nonlinearly constrained optimization problems. In order to solve the fractional trust region subproblems simply, we propose an approximated solution method by...

    Authors: Honglan Zhu, Qin Ni and Xuebing Zhang

    Citation: Journal of Inequalities and Applications 2020 2020:25

    Content type: Research

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  4. In this paper, we study degenerate complete and incomplete r-Bell polynomials. They are generalizations of the recently introduced degenerate r-Bell polynomials and degenerate analogues for the complete and incom...

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

    Citation: Journal of Inequalities and Applications 2020 2020:23

    Content type: Research

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  5. In this paper, we prove new complete monotonicity properties of some functions related to generalized k-gamma and k-polygamma functions. Applications of the results yield various new inequalities. In the end, dou...

    Authors: Ju-Mei Zhang, Li Yin and Hong-Lian You

    Citation: Journal of Inequalities and Applications 2020 2020:21

    Content type: Research

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  6. In this paper, we estimate the mean of the partially linear single-index errors-in-variables model with missing response variables. The linear covariate is measured with additive error, therefore missing is no...

    Authors: Xin Qi and ZhuoXi Yu

    Citation: Journal of Inequalities and Applications 2020 2020:18

    Content type: Research

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  7. In this study, a time semi-discretized Crank–Nicolson (CN) scheme of the two-dimensional (2D) unsteady conduction–convection problems for vorticity and stream functions is first built together with showing the...

    Authors: Fei Teng, Taiying Zhu and Zhendong Luo

    Citation: Journal of Inequalities and Applications 2020 2020:15

    Content type: Research

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  8. The Editors-in-Chief have retracted this article [1] because it shows evidence of both authorship and peer review manipulation. In addition, the identity of the corresponding author could not be verified: Univ...

    Authors: Zhaoqi Ji, Tao Liu, Hong Tian and Tanriver Ülker

    Citation: Journal of Inequalities and Applications 2020 2020:14

    Content type: Retraction Note

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    The original article was published in Journal of Inequalities and Applications 2017 2017:86

  9. In this paper, we consider nonlinear density-dependent mortality Nicholson’s blowflies system involving patch structures and asymptotically almost periodic environments. By developing an approach based on diff...

    Authors: Chaofan Qian and Yuhui Hu

    Citation: Journal of Inequalities and Applications 2020 2020:13

    Content type: Research

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  10. We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequal...

    Authors: Taiyin Zhao, Muhammad Shoaib Saleem, Waqas Nazeer, Imran Bashir and Ijaz Hussain

    Citation: Journal of Inequalities and Applications 2020 2020:11

    Content type: Research

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  11. The convex nonlinear second-order cone programming with linear constraints is equivalent to a separate structure convex programming. A prediction-correction inexact alternating direction method is proposed for...

    Authors: Yaling Zhang and Hongwei Liu

    Citation: Journal of Inequalities and Applications 2020 2020:10

    Content type: Research

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  12. In this paper, we prove two concise inequalities for the associated Pollaczek polynomials. The first one is obtained by using Askey’s theorem (SIAM J. Math. Anal. 2:340–346, 1971) on orthogonal expansions with po...

    Authors: Min-Jie Luo and Ravinder Krishna Raina

    Citation: Journal of Inequalities and Applications 2020 2020:9

    Content type: Research

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  13. In this paper, we present some new Cauchy–Schwarz inequalities for N-tuple diamond-alpha integral on time scales. The obtained results improve and generalize some Cauchy–Schwarz type inequalities given by many au...

    Authors: Xi-Mei Hu, Jing-Feng Tian, Yu-Ming Chu and Yan-Xia Lu

    Citation: Journal of Inequalities and Applications 2020 2020:8

    Content type: Research

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  14. This paper is concerned with a class of Nicholson’s blowflies model involving nonlinear density-dependent mortality terms and multiple pairs of time-varying delays. By using differential inequality techniques ...

    Authors: Qian Cao, Guoqiu Wang, Hong Zhang and Shuhua Gong

    Citation: Journal of Inequalities and Applications 2020 2020:7

    Content type: Research

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  15. In the paper, the authors define a new notion of “HT-convex function”, present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and d...

    Authors: Shu-Ping Bai, Shu-Hong Wang and Feng Qi

    Citation: Journal of Inequalities and Applications 2020 2020:3

    Content type: Research

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  16. We consider a class of Caputo fractional p-Laplacian differential equations with integral boundary conditions which involve two parameters. By using the Avery–Peterson fixed point theorem, we obtain the existence...

    Authors: Luchao Zhang, Weiguo Zhang, Xiping Liu and Mei Jia

    Citation: Journal of Inequalities and Applications 2020 2020:2

    Content type: Research

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  17. Some new nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type are given. The estimations of unknown functions are obtained by analysis techniques. These estimates are very signifi...

    Authors: Ran Yan and Fanwei Meng

    Citation: Journal of Inequalities and Applications 2019 2019:319

    Content type: Research

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  18. In this paper, based on the existing Hölder’s inequality, some new three-tuple diamond-alpha integral Hölder’s inequalities on time scales are proposed and the related theorems and corollaries are given. At th...

    Authors: Fei Yan and Jianfeng Wang

    Citation: Journal of Inequalities and Applications 2019 2019:318

    Content type: Research

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  19. In the article, we present several Hermite–Hadamard type inequalities for the co-ordinated convex and quasi-convex functions and give an application to the product of the moment of two continuous and independe...

    Authors: Muhammad Amer Latif, Saima Rashid, Silvestru Sever Dragomir and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2019 2019:317

    Content type: Research

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  20. In this paper, we consider the pricing problem of options with counterparty default risks. We study the asymptotic behavior of vulnerable option prices in the worst case scenario under an uncertain volatility ...

    Authors: Qing Zhou and Xiaonan Li

    Citation: Journal of Inequalities and Applications 2019 2019:315

    Content type: Research

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  21. In this article, we consider the problem of finding a source term of a Rayleigh–Stokes equation. Our problem is not well-posed in the sense of Hadamard. The sought solution does not depend continuously on the ...

    Authors: Tran Thanh Binh, Dumitru Baleanu, Nguyen Hoang Luc and Nguyen-H Can

    Citation: Journal of Inequalities and Applications 2019 2019:308

    Content type: Research

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  22. Using the properties of superquadratic and subquadratic functions, we establish some new refinement multidimensional dynamic inequalities of Hardy’s type on time scales. Our results contain some of the recent ...

    Authors: Samir H. Saker, Haytham M. Rezk, Islam Abohela and Dumitru Baleanu

    Citation: Journal of Inequalities and Applications 2019 2019:306

    Content type: Research

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  23. In this article, we discuss the existence and uniqueness of solution of a delay Caputo q-fractional difference system. Based on the q-fractional Gronwall inequality, we analyze the Ulam–Hyers stability and the Ul...

    Authors: Rabia Ilyas Butt, Thabet Abdeljawad, Manar A. Alqudah and Mujeeb ur Rehman

    Citation: Journal of Inequalities and Applications 2019 2019:305

    Content type: Research

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  24. Recently, λ-analogues of Stirling numbers of the first kind were studied. In this paper, we introduce, as natural extensions of these numbers, λ-Stirling polynomials of the first kind and r-truncated λ-Stirling p...

    Authors: Taekyun Kim, Dae San Kim, Han Young Kim and Sung-Soo Pyo

    Citation: Journal of Inequalities and Applications 2019 2019:301

    Content type: Research

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  25. In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral oper...

    Authors: Saima Rashid, Farhat Safdar, Ahmet Ocak Akdemir, Muhammad Aslam Noor and Khalida Inayat Noor

    Citation: Journal of Inequalities and Applications 2019 2019:299

    Content type: Research

    Published on:

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