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  1. In this paper, we propose a new iterative algorithm for solving the multiple-sets split feasibility problem (MSSFP for short) and the split equality fixed point problem (SEFPP for short) with firmly quasi-none...

    Authors: Tongxin Xu and Luoyi Shi
    Citation: Journal of Inequalities and Applications 2021 2021:120
  2. In this paper we present direct results (upper estimates) for Baskakov operators acting in spaces related with Jacobi-type weights. Our results include and extend some known facts related with this problem. Th...

    Authors: Jorge Bustamante, Juan Jesús Merino-García and José María Quesada
    Citation: Journal of Inequalities and Applications 2021 2021:119
  3. In this research, we combine the Cesàro and backward difference operators of different orders which results in introducing a matrix who has two different behaviors and includes several matrices. We also invest...

    Authors: Hadi Roopaei and Bipan Hazarika
    Citation: Journal of Inequalities and Applications 2021 2021:116
  4. In this paper, we establish Jensen’s inequality for s-convex functions in the first sense. By using Jensen’s inequalities, we obtain some Cauchy type means for p-convex and s-convex functions in the first sense. ...

    Authors: Naila Mehreen and Matloob Anwar
    Citation: Journal of Inequalities and Applications 2021 2021:114
  5. In this paper, we suggest and analyze an iterative algorithm to approximate a common solution of a hierarchical fixed point problem for nonexpansive mappings, a system of variational inequalities, and a split ...

    Authors: Yali Zhao, Xin Liu and Ruonan Sun
    Citation: Journal of Inequalities and Applications 2021 2021:111
  6. This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and fo...

    Authors: Saif Ur Rehman, Hassen Aydi, Gui-Xiu Chen, Shamoona Jabeen and Sami Ullah Khan
    Citation: Journal of Inequalities and Applications 2021 2021:110
  7. In this article, we establish the approximation by Durrmeyer type Jakimovski–Leviatan operators involving the Brenke type polynomials. The positive linear operators are constructed for the Brenke polynomials, ...

    Authors: Shahid Ahmad Wani, M. Mursaleen and Kottakkaran Sooppy Nisar
    Citation: Journal of Inequalities and Applications 2021 2021:104
  8. In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals. Moreover, the authors prove extensions of the Hermite–Had...

    Authors: Xue-Xiao You, Muhammad Aamir Ali, Hüseyin Budak, Praveen Agarwal and Yu-Ming Chu
    Citation: Journal of Inequalities and Applications 2021 2021:102
  9. In the paper, we use Jensen’s inequality for diamond integrals and generalize it for n-convex functions with the help of an extended Montgomery identity. Moreover, the bounds have been suggested for identities as...

    Authors: Sofia Ramzan, Ammara Nosheen, Rabia Bibi and Josip Pečarić
    Citation: Journal of Inequalities and Applications 2021 2021:101
  10. This paper is concerned with the solvability of coupled nonlinear fractional differential equations of different orders supplemented with nonlocal coupled boundary conditions on an arbitrary domain. The tools ...

    Authors: Ahmed Alsaedi, Soha Hamdan, Bashir Ahmad and Sotiris K. Ntouyas
    Citation: Journal of Inequalities and Applications 2021 2021:95
  11. In this paper, we present Krasnoselski–Mann-type inertial method for solving split generalized mixed equilibrium and hierarchical fixed point problems for k-strictly pseudocontractive nonself-mappings. We establi...

    Authors: Preeyanuch Chuasuk and Anchalee Kaewcharoen
    Citation: Journal of Inequalities and Applications 2021 2021:94
  12. The main purpose of the presented paper is to obtain some time scale inequalities for different divergences and distances by using weighted time scales Jensen’s inequality. These results offer new inequalities...

    Authors: Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić and Josip Pečarić
    Citation: Journal of Inequalities and Applications 2021 2021:93
  13. In this paper, we define the multilinear Calderón–Zygmund operators on differential forms and prove the end-point weak type boundedness of the operators. Based on nonhomogeneous A-harmonic tensor, the Poincaré-ty...

    Authors: Xuexin Li, Yuming Xing and Jinling Niu
    Citation: Journal of Inequalities and Applications 2021 2021:92
  14. In this article, we are interested in some well-known dynamic inequalities on time scales. For this reason, we will prove some new Hermite–Hadamard (H-H) and Opial dynamic inequalities on time scales. The main...

    Authors: Pshtiwan Othman Mohammed, Cheon Seoung Ryoo, Artion Kashuri, Y. S. Hamed and Khadijah M. Abualnaja
    Citation: Journal of Inequalities and Applications 2021 2021:89
  15. Quantiles of random variable are crucial quantities that give more delicate information about distribution than mean and median and so on. We establish Jensen’s inequality for q-quantile ( ...

    Authors: Mu Zhao, Xinai Yang, Qi He, Zunrong Zhou and Xiangyu Ge
    Citation: Journal of Inequalities and Applications 2021 2021:86
  16. In the present paper, we extend the study of (Ali et al. in J. Inequal. Appl. 2020:241, 2020) by using differential equations (García-Río et al. in J. Differ. Equ. 194(2):287–299, 2003; Pigola et al. in Math. Z. ...

    Authors: Akram Ali, Fatemah Mofarreh, Rifaqat Ali and Irfan Anjum Badruddin
    Citation: Journal of Inequalities and Applications 2021 2021:85
  17. In this paper, we propose a modified proximal point algorithm based on the Thakur iteration process to approximate the common element of the set of solutions of convex minimization problems and the fixed point...

    Authors: Sabiya Khatoon, Watcharaporn Cholamjiak and Izhar Uddin
    Citation: Journal of Inequalities and Applications 2021 2021:83
  18. In this work, we establish Lyapunov-type inequalities for the fractional boundary value problems with Caputo–Hadamard fractional derivative subject to multipoint and integral boundary conditions. As far as we ...

    Authors: Youyu Wang, Yuhan Wu and Zheng Cao
    Citation: Journal of Inequalities and Applications 2021 2021:77
  19. In this paper, we establish some new characterizations of weighted functions of dynamic inequalities containing a Hardy operator on time scales. These inequalities contain the characterization of Ariňo and Muc...

    Authors: S. H. Saker, J. Alzabut, A. I. Saied and D. O’Regan
    Citation: Journal of Inequalities and Applications 2021 2021:73
  20. In this article we give two possible generalizations of the Hermite–Hadamard integral inequality for the class of twice differentiable functions, where the convexity property of the target function is not assu...

    Authors: Slavko Simić and Bandar Bin-Mohsin
    Citation: Journal of Inequalities and Applications 2021 2021:72
  21. The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral ...

    Authors: Gauhar Rahman, Kottakkaran Sooppy Nisar and Thabet Abdeljawad
    Citation: Journal of Inequalities and Applications 2021 2021:71
  22. In this study, we investigate the boundedness of composition operators acting on Morrey spaces and weak Morrey spaces. The primary aim of this study is to investigate a necessary and sufficient condition on th...

    Authors: Naoya Hatano, Masahiro Ikeda, Isao Ishikawa and Yoshihiro Sawano
    Citation: Journal of Inequalities and Applications 2021 2021:69

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