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  1. In this paper, we establish the stability and strong convergence theorems, for the three-step iteration with perturbations for a T-Ciric quasicontraction, in the environment of the CAT(0) space. Finally, an ap...

    Authors: Kenyi Calderón, Anantachai Padcharoen and Juan Martínez-Moreno
    Citation: Journal of Inequalities and Applications 2023 2023:39
  2. In this paper, we apply some special functions to introduce a new class of control functions that help us define the concept of multi-stability. Further, we investigate the multi-stability of homomorphisms in

    Authors: Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li, Themistocles M. Rassias and Choonkil Park
    Citation: Journal of Inequalities and Applications 2023 2023:35
  3. In this manuscript, we study the existence and uniqueness of solutions for a new neutral hybrid nonlinear differential equation in the context of a fractional generalized operator in the sense of ψ-Caputo. To emp...

    Authors: Naas Adjimi, Abdellatif Boutiara, Mohammad Esmael Samei, Sina Etemad, Shahram Rezapour and Mohammed K. A. Kaabar
    Citation: Journal of Inequalities and Applications 2023 2023:34
  4. In this paper, we present an inexact multiblock alternating direction method for the point-contact friction model of the force-optimization problem (FOP). The friction-cone constraints of the FOP are reformula...

    Authors: Yaling Zhang and Xuewen Mu
    Citation: Journal of Inequalities and Applications 2023 2023:30
  5. The paper generalizes Shannon-type inequalities for diamond integrals. It includes two-dimensional Hölder’s inequality and Cauchy–Schwartz’s inequality, which help to prove weighted Grüss’s inequality for diam...

    Authors: Muhammad Bilal, Khuram Ali Khan, Ammara Nosheen and Josip Pečarić
    Citation: Journal of Inequalities and Applications 2023 2023:24
  6. This article addresses the existence and uniqueness of solution for fully fourth-order differential equations modeling beams on elastic foundations with nonlinear boundary conditions. The proof will rely on Pe...

    Authors: Huiling Chen and Yujun Cui
    Citation: Journal of Inequalities and Applications 2023 2023:23
  7. In this paper, we introduce a simple and easily computable algorithm for finding a common solution to split-equilibrium problems and fixed-point problems in the framework of real Hilbert spaces. New self-adapt...

    Authors: Francis O. Nwawuru and Jeremiah N. Ezeora
    Citation: Journal of Inequalities and Applications 2023 2023:22
  8. One of the most fundamental probabilities is the probability at a particular point. The local limit theorem is the well-known theorem that estimates this probability. In this paper, we estimate this probabilit...

    Authors: Punyapat Kammoo, Kittipong Laipaporn and Kritsana Neammanee
    Citation: Journal of Inequalities and Applications 2023 2023:21
  9. In this paper, we propose a generalized Gronwall inequality in the context of the ψ-Hilfer proportional fractional derivative. Using Picard’s successive approximation and the definition of Mittag–Leffler function...

    Authors: Weerawat Sudsutad, Chatthai Thaiprayoon, Bounmy Khaminsou, Jehad Alzabut and Jutarat Kongson
    Citation: Journal of Inequalities and Applications 2023 2023:20
  10. In this article, we first introduce and study the basic concepts of deferred Euler and deferred Nörlund product summability means of Fourier series of arbitrary periodic functions. We then estimate the degree ...

    Authors: Bidu Bhusan Jena, Susanta Kumar Paikray and M. Mursaleen
    Citation: Journal of Inequalities and Applications 2023 2023:18
  11. In this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing m...

    Authors: Saad Ihsan Butt, Iram Javed, Praveen Agarwal and Juan J. Nieto
    Citation: Journal of Inequalities and Applications 2023 2023:16
  12. The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin coefficients http://static-content.springer.com/image/art%3A10.1186%2Fs13660-023-02920-6/13660_2023_2920_Article_IEq1.gif

    Authors: Daniel Breaz and Luminiţa-Ioana Cotîrlă
    Citation: Journal of Inequalities and Applications 2023 2023:15
  13. This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve a bilevel split pseudomonotone variational inequality problem (BSPVIP) with the common fixed point problem con...

    Authors: Lu-Chuan Ceng, Debdas Ghosh, Yekini Shehu and Jen-Chih Yao
    Citation: Journal of Inequalities and Applications 2023 2023:14
  14. In the present research, we introduce the notion of convex stochastic processes namely; strongly p-convex stochastic processes. We establish a generalized version of Ostrowski-type integral inequalities for stron...

    Authors: Hengxiao Qi, Muhammad Shoaib Saleem, Imran Ahmed, Sana Sajid and Waqas Nazeer
    Citation: Journal of Inequalities and Applications 2023 2023:12
  15. In this work, we established some new general integral inequalities of Hermite–Hadamard type for s-convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, an...

    Authors: Çetin Yildiz, Büşra Yergöz and Abdulvahit Yergöz
    Citation: Journal of Inequalities and Applications 2023 2023:11
  16. In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of b...

    Authors: Hüseyin Budak, Pınar Kösem and Hasan Kara
    Citation: Journal of Inequalities and Applications 2023 2023:10
  17. In this paper, we obtain a nonuniform Berry–Esseen bound for a normal approximation via the Stein method and the exchangeable-pair coupling technique where the boundedness condition of the difference between t...

    Authors: Patcharee Sumritnorrapong and Jiraphan Suntornchost
    Citation: Journal of Inequalities and Applications 2023 2023:9
  18. The generalized Schwarz algorithm for a class of elliptic quasi-variational inequalities related to impulse control problems is studied in this paper. The principal result is to prove the error estimate in

    Authors: Ikram Bouzoualegh and Samira Saadi
    Citation: Journal of Inequalities and Applications 2023 2023:8
  19. In this paper, we propose new methods for finding a common solution to pseudomonotone and Lipschitz-type equilibrium problems, as well as a fixed-point problem for demicontractive mapping in real Hilbert space...

    Authors: Bancha Panyanak, Chainarong Khunpanuk, Nattawut Pholasa and Nuttapol Pakkaranang
    Citation: Journal of Inequalities and Applications 2023 2023:7
  20. In this paper, we establish several new inequalities for q-differentiable coordinated convex functions that are related to the right side of Hermite–Hadamard inequalities for coordinated convex functions. We also...

    Authors: Fongchan Wannalookkhee, Kamsing Nonlaopon, Mehmet Zeki Sarikaya, Hüseyin Budak and Muhammad Aamir Ali
    Citation: Journal of Inequalities and Applications 2023 2023:5
  21. In this paper, we focus on the analytical and numerical convexity analysis of discrete delta Riemann–Liouville fractional differences. In the analytical part of this paper, we give a new formula for the discre...

    Authors: Dumitru Baleanu, Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Eman Al-Sarairah, Thabet Abdeljawad and Y. S. Hamed
    Citation: Journal of Inequalities and Applications 2023 2023:4
  22. Inequalities play a major role in pure and applied mathematics. In particular, the inequality plays an important role in the study of Rosseland’s integral for the stellar absorption. In this paper we obtain ne...

    Authors: Paul Bosch, José M. Rodríguez and José M. Sigarreta
    Citation: Journal of Inequalities and Applications 2023 2023:3
  23. In this paper, we introduce an intermixed algorithm with viscosity technique for finding a common solution of the combination of mixed variational inequality problems and the fixed-point problem of a nonexpans...

    Authors: Wongvisarut Khuangsatung and Atid Kangtunyakarn
    Citation: Journal of Inequalities and Applications 2023 2023:1
  24. The objective of this article is to incorporate the concept of the Ostrowski inequality with the Atangana–Baleanu fractional integral operator. A novel integral identity for twice-differentiable functions is e...

    Authors: Soubhagya Kumar Sahoo, Bibhakar Kodamasingh, Artion Kashuri, Hassen Aydi and Eskandar Ameer
    Citation: Journal of Inequalities and Applications 2022 2022:162
  25. In this article, we introduce and discuss some new subclasses of functions that are analytic in the open unit disc and involve the Pascal distribution series. Moreover, inclusion relations and integral preserv...

    Authors: Abdel Moneim Y. Lashin, Abeer O. Badghaish and Badriah Maeed Algethami
    Citation: Journal of Inequalities and Applications 2022 2022:161
  26. The main purpose of this paper is to study certain inequalities for cr-log-h-convex functions with an interval value. To this end, we first give a definition of cr-log-h-convexity of interval-valued functions und...

    Authors: Wei Liu, Fangfang Shi, Guoju Ye and Dafang Zhao
    Citation: Journal of Inequalities and Applications 2022 2022:160
  27. In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized well-posedness for a new variational inequality-constrain...

    Authors: Savin Treanţă, Tadeusz Antczak and Tareq Saeed
    Citation: Journal of Inequalities and Applications 2022 2022:156
  28. In this paper, we use the properties of error estimation and the analytic method to study the reciprocal products of the bi-periodic Fibonacci sequence, the bi-periodic Lucas sequence, and the mth-order linear re...

    Authors: Tingting Du and Zhengang Wu
    Citation: Journal of Inequalities and Applications 2022 2022:154

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