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  1. This article is devoted to the study of the existence and uniqueness of mild solution to a class of Riemann–Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brow...

    Authors: Min Yang and Haibo Gu

    Citation: Journal of Inequalities and Applications 2021 2021:8

    Content type: Research

    Published on:

  2. In this paper we are presenting the refinements of integral inequalities established for convex functions. Consequently, we get refinements of several fractional integral inequalities for different kinds of fr...

    Authors: Chahn Yong Jung, Ghulam Farid, Maja Andrić, Josip Pečarić and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2021 2021:7

    Content type: Research

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  3. The aim of this article is to prove some new dynamic inequalities of Hardy type on time scales with several functions. Our results contain some results proved in the literature, which are deduced as limited ca...

    Authors: Adnane Hamiaz, Waleed Abuelela, Samir H. Saker and Dumitru Baleanu

    Citation: Journal of Inequalities and Applications 2021 2021:3

    Content type: Research

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  4. In this paper, we prove some properties of weighted Cesàro and Copson sequences spaces by establishing some factorization theorems. The results lead to two-sided norm discrete inequalities with best possible c...

    Authors: S. H. Saker, Maryam M. Abuelwafa, Ahmed M. Zidan and Dumitru Baleanu

    Citation: Journal of Inequalities and Applications 2021 2021:1

    Content type: Research

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  5. A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized inco...

    Authors: Pshtiwan Othman Mohammed, Thabet Abdeljawad, Dumitru Baleanu, Artion Kashuri, Faraidun Hamasalh and Praveen Agarwal

    Citation: Journal of Inequalities and Applications 2020 2020:263

    Content type: Research

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  6. In this paper, we introduce a new inertial self-adaptive projection method for finding a common element in the set of solution of pseudomonotone variational inequality problem and set of fixed point of a pseud...

    Authors: Lateef Olakunle Jolaoso and Maggie Aphane

    Citation: Journal of Inequalities and Applications 2020 2020:261

    Content type: Research

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  7. In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions. We also present refi...

    Authors: Sadia Khalid and Josip Pečarić

    Citation: Journal of Inequalities and Applications 2020 2020:260

    Content type: Research

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  8. Differential equations of second order appear in numerous applications such as fluid dynamics, electromagnetism, quantum mechanics, neural networks and the field of time symmetric electrodynamics. The aim of t...

    Authors: Shyam Sundar Santra, Hammad Alotaibi and Omar Bazighifan

    Citation: Journal of Inequalities and Applications 2020 2020:256

    Content type: Research

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  9. In this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adj...

    Authors: Zhuang Niu, Shasha Guo and Wenming Li

    Citation: Journal of Inequalities and Applications 2020 2020:254

    Content type: Research

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  10. In this paper, we provide the connectedness of the sets of weak efficient solutions, Henig efficient solutions and Benson proper efficient solutions for set-valued vector equilibrium problems under improvement...

    Authors: Hongwei Liang, Zhongping Wan and Litao Zhang

    Citation: Journal of Inequalities and Applications 2020 2020:228

    Content type: Research

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  11. We study the nonasymptotic properties of a general norm penalized estimator, which include Lasso, weighted Lasso, and group Lasso as special cases, for sparse high-dimensional misspecified Cox models with time...

    Authors: Yijun Xiao, Ting Yan, Huiming Zhang and Yuanyuan Zhang

    Citation: Journal of Inequalities and Applications 2020 2020:252

    Content type: Research

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  12. In this paper, we propose some new type of weak cyclic multivalued contraction mappings by generalizing the cyclic contraction using the δ-distance function. Several novel fixed point results are deduced for such...

    Authors: Pulak Konar, Samir Kumar Bhandari, Sumit Chandok and Aiman Mukheimer

    Citation: Journal of Inequalities and Applications 2020 2020:250

    Content type: Research

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  13. The purpose of the present paper is to introduce a generalized hypergeometric distribution and obtain some necessary and sufficient conditions for generalized hypergeometric distribution series belonging to ce...

    Authors: Rajavadivelu Themangani, Saurabh Porwal and Nanjundan Magesh

    Citation: Journal of Inequalities and Applications 2020 2020:249

    Content type: Research

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  14. Apostol considered generalized Dedekind sums by replacing the first Bernoulli function appearing in Dedekind sums by any Bernoulli functions and derived a reciprocity relation for them. Recently, poly-Dedekind...

    Authors: Yuankui Ma, Dae San Kim, Hyunseok Lee and Taekyun Kim

    Citation: Journal of Inequalities and Applications 2020 2020:248

    Content type: Research

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  15. The role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities f...

    Authors: Barış Çelik, Mustafa Ç. Gürbüz, M. Emin Özdemir and Erhan Set

    Citation: Journal of Inequalities and Applications 2020 2020:246

    Content type: Research

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  16. Identities of symmetry in two variables for Bernoulli polynomials and power sums had been investigated by considering suitable symmetric identities. T. Kim used a completely different tool, namely the p-adic Volk...

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

    Citation: Journal of Inequalities and Applications 2020 2020:245

    Content type: Research

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  17. In this paper, we propose an iterative algorithm with inertial extrapolation to approximate the solution of multiple-set split feasibility problem. Based on Lopez et al. (Inverse Probl. 28(8):085004, 2012), we ha...

    Authors: Guash Haile Taddele, Poom Kumam and Anteneh Getachew Gebrie

    Citation: Journal of Inequalities and Applications 2020 2020:244

    Content type: Research

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  18. We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in ter...

    Authors: Anita Matković and Josip Pečarić

    Citation: Journal of Inequalities and Applications 2020 2020:242

    Content type: Research

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  19. In the present, we first obtain Chen–Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochne...

    Authors: Akram Ali, Fatemah Mofarreh, Wan Ainun Mior Othman and Dhriti Sundar Patra

    Citation: Journal of Inequalities and Applications 2020 2020:241

    Content type: Research

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  20. In this note we study the maximal singular integral operators associated with a homogeneous mapping with rough kernels as well as the corresponding maximal operators. The boundedness and continuity on the Lebe...

    Authors: Xiao Zhang and Feng Liu

    Citation: Journal of Inequalities and Applications 2020 2020:237

    Content type: Research

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  21. In this paper, we consider the initial boundary value problem of two-dimensional isentropic compressible Boussinesq equations with constant viscosity and thermal diffusivity in a square domain. Based on the ti...

    Authors: Xucheng Huang, Zhaoyang Shang and Na Zhang

    Citation: Journal of Inequalities and Applications 2020 2020:232

    Content type: Research

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  22. The aim of this paper is computing the coderivatives of efficient point and efficient solution set-valued maps in a parametric vector optimization problem. By using a method different from the existing literat...

    Authors: Xiaowei Xue

    Citation: Journal of Inequalities and Applications 2020 2020:231

    Content type: Research

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  23. In this paper, we introduce a modified Krasnoselski–Mann type iterative method for capturing a common solution of a split mixed equilibrium problem and a hierarchical fixed point problem of a finite collection...

    Authors: Jong Kyu Kim and Prashanta Majee

    Citation: Journal of Inequalities and Applications 2020 2020:227

    Content type: Research

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  24. Carlitz initiated a study of degenerate Bernoulli and Euler numbers and polynomials which is the pioneering work on degenerate versions of special numbers and polynomials. In recent years, studying degenerate ...

    Authors: Taekyun Kim, Dae San Kim, Han-Young Kim, Hyunseok Lee and Lee-Chae Jang

    Citation: Journal of Inequalities and Applications 2020 2020:226

    Content type: Research

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  25. The aim of this paper is to study the unsigned degenerate r-Stirling numbers of the first kind as degenerate versions of the r-Stirling numbers of the first kind and the degenerate r-Stirling numbers of the secon...

    Authors: Taekyun Kim, Dae San Kim, Hyunseok Lee and Jin-Woo Park

    Citation: Journal of Inequalities and Applications 2020 2020:225

    Content type: Research

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  26. This paper deals with solvability and algorithms for a new class of generalized nonlinear variational-like inequalities in reflexive Banach spaces. By employing the Banach’s fixed point theorem, Schauder’s fix...

    Authors: Haiyan Gao, Lili Wang and Liangshi Zhao

    Citation: Journal of Inequalities and Applications 2020 2020:224

    Content type: Research

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  27. In this paper, we focus on the response mean of the partially linear varying-coefficient errors-in-variables model with missing response at random. A simulation study is conducted to compare jackknife empirica...

    Authors: Yuye Zou and Chengxin Wu

    Citation: Journal of Inequalities and Applications 2020 2020:223

    Content type: Review

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  28. In this paper, we present a new definition of interval-valued convex functions depending on the given function which is called “interval-valued approximately h-convex functions”. We establish some inequalities of...

    Authors: Dafang Zhao, Muhammad Aamir Ali, Artion Kashuri, Hüseyin Budak and Mehmet Zeki Sarikaya

    Citation: Journal of Inequalities and Applications 2020 2020:222

    Content type: Research

    Published on:

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