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  1. We study a generalized left sided tempered fractional (GTF)-integral concerning another function Ψ in the kernel. Then we investigate several kinds of inequalities such as Grüss-type and certain other related ine...

    Authors: Gauhar Rahman, Kottakkaran Sooppy Nisar, Saima Rashid and Thabet Abdeljawad

    Citation: Journal of Inequalities and Applications 2020 2020:147

    Content type: Research

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  2. Motivated and inspired by the growing contribution with respect to iterative approximations from some researchers in the literature, we design and investigate two types of brand-new semi-implicit viscosity ite...

    Authors: Ting-jian Xiong and Heng-you Lan

    Citation: Journal of Inequalities and Applications 2020 2020:145

    Content type: Research

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  3. The Publisher has retracted this article [1]. Owing to an administrative error it was published without the amendments made by the authors at the proof stage. A second version of the article with the authors’ ...

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

    Citation: Journal of Inequalities and Applications 2020 2020:142

    Content type: Retraction Note

    Published on:

    The original article was published in Journal of Inequalities and Applications 2019 2019:212

  4. By a stochastic controller, we make stable the pseudo stochastic Lie bracket (derivation, derivation) in complex MB-algebras. Next, we get an approximation by a stochastic Lie bracket (derivation, derivation) ...

    Authors: Masoumeh Madadi, Reza Saadati, Choonkil Park and John Michael Rassias

    Citation: Journal of Inequalities and Applications 2020 2020:141

    Content type: Research

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  5. Some Zygmund-type integral inequalities for the polar derivatives of complex polynomials, inspired by the classical Bernstein-type inequalities that relate the uniform norms of polynomials and their derivative...

    Authors: Gradimir V. Milovanović and Abdullah Mir

    Citation: Journal of Inequalities and Applications 2020 2020:136

    Content type: Research

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  6. We present a version of the John–Nirenberg inequality for a sub-class of BMO by estimating the corresponding mean oscillating distribution function via dyadic decomposition. The dominating functions are of the...

    Authors: Hee Chul Pak

    Citation: Journal of Inequalities and Applications 2020 2020:130

    Content type: Research

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  7. In this paper, we obtain the endpoint boundedness for the commutators of singular integral operators with BMO functions and the associated maximal operators on weighted generalized Morrey spaces. We also get simi...

    Authors: Jinyun Qi, Xuefang Yan and Wenming Li

    Citation: Journal of Inequalities and Applications 2020 2020:129

    Content type: Research

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  8. In this paper, we establish some new Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions in the second sense. Meanwhile, we present many useful estimates o...

    Authors: Yong Zhao, Haiwei Sang, Weicheng Xiong and Zhongwei Cui

    Citation: Journal of Inequalities and Applications 2020 2020:128

    Content type: Review

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  9. In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously know...

    Authors: Muhammad Uzair Awan, Nousheen Akhtar, Sabah Iftikhar, Muhammad Aslam Noor and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2020 2020:125

    Content type: Research

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  10. We first establish some results involving Riemann–Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional Ostrowski type inequalities for functions in class of fun...

    Authors: Samet Erden, Hüseyin Budak, Mehmet Zeki Sarikaya, Sabah Iftikhar and Poom Kumam

    Citation: Journal of Inequalities and Applications 2020 2020:123

    Content type: Research

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  11. In this research, we investigate two types of Copson matrices, the generalized Copson matrix and the Copson matrix of order n, and their associated sequence spaces generated by these matrices. We also investigate...

    Authors: Hadi Roopaei

    Citation: Journal of Inequalities and Applications 2020 2020:120

    Content type: Research

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  12. In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.

    Authors: Hadi Roopaei

    Citation: Journal of Inequalities and Applications 2020 2020:117

    Content type: Research

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  13. The Editor-in-Chief has retracted this article [1] because it shows significant overlap with a previously published article [2]. The article also shows evidence of peer review manipulation. In addition, the id...

    Authors: Tao Zhao and Alexander Yamada Jr

    Citation: Journal of Inequalities and Applications 2020 2020:113

    Content type: Retraction Note

    Published on:

    The original article was published in Journal of Inequalities and Applications 2014 2014:497

  14. Recently, Dolgy–Jang introduced the poly-Genocchi polynomials and numbers arising from the modified polyexponential function. In this paper, we study the degenerate poly-Genocchi polynomials and numbers constr...

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

    Citation: Journal of Inequalities and Applications 2020 2020:110

    Content type: Research

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  15. In this paper, we give refinements of the integral form of Jensen’s inequality and the Lah–Ribarič inequality. Using these results, we obtain a refinement of the Hölder inequality and a refinement of some ineq...

    Authors: J. Pečarić and J. Perić

    Citation: Journal of Inequalities and Applications 2020 2020:108

    Content type: Research

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  16. In this paper, we obtain the Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals. We also discuss some special cases.

    Authors: Naila Mehreen and Matloob Anwar

    Citation: Journal of Inequalities and Applications 2020 2020:107

    Content type: Research

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  17. In this paper, we consider a new distance structure, extended Branciari b-distance, to combine and unify several distance notions and obtain fixed point results that cover several existing ones in the correspondi...

    Authors: Thabet Abdeljawad, Erdal Karapınar, Sumati Kumari Panda and Nabil Mlaiki

    Citation: Journal of Inequalities and Applications 2020 2020:103

    Content type: Research

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  18. In this paper, we consider the local control problem for a chaotic finance system via the time-delayed feedback. Using the Lyapunov–Krasovskii stability theorem, the quadratic system theory, some integral ineq...

    Authors: Erfeng Xu, Yingrui Zhang and Yonggang Chen

    Citation: Journal of Inequalities and Applications 2020 2020:100

    Content type: Research

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  19. This paper consists of several fixed point theorems in the fuzzy b-metric spaces. As an important result, we give a sufficient condition for a sequence to be Cauchy in the fuzzy b-metric space. Thus we simplify t...

    Authors: Dušan Rakić, Aiman Mukheimer, Tatjana Došenović, Zoran D. Mitrović and Stojan Radenović

    Citation: Journal of Inequalities and Applications 2020 2020:99

    Content type: Research

    Published on:

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