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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. Consider the space of weighted binomial matrices in the Nakano sequence space of soft functions. We have offered some geometric and topological structures of the multiplication operator acting on this space an...

    Authors: Meshayil M. Alsolmi, Arafa O. Mustafa, Om Kalthum S. K. Mohamed and Awad A. Bakery
    Citation: Journal of Inequalities and Applications 2022 2022:152
  23. In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give...

    Authors: József Bukor, Ferdinánd Filip, Jan Šustek and János T. Tóth
    Citation: Journal of Inequalities and Applications 2022 2022:146
  24. This paper first introduces a new iterative method for weak and strong convergence theorem to demonstrate the estimation potential for a fixed point of the cutter and the finite general split feasibility probl...

    Authors: Kanyanee Saechou and Atid Kangtunyakarn
    Citation: Journal of Inequalities and Applications 2022 2022:144
  25. In this paper, we study the existence of solution of the generalized equilibrium problem (GEP) in the framework of an Hadamard manifold. Using the KKM lemma, we prove the existence of solution of the GEP and g...

    Authors: O. K. Oyewole, L. O. Jolaoso, K. O. Aremu and M. Aphane
    Citation: Journal of Inequalities and Applications 2022 2022:142
  26. In this paper, we establish a Bullen-type generalized fractional integral identity for the differentiable functions and derive some new estimates for the Bullen-type fractional integral inequalities via the Ra...

    Authors: Sabir Hussain, Sobia Rafeeq, Yu-Ming Chu, Saba Khalid and Sahar Saleem
    Citation: Journal of Inequalities and Applications 2022 2022:138
  27. In this work, we analyze plankton–fish dynamics in the presence of toxicity, refuge, and combine-harvesting efforts by a considering Holling type-II functional response. We have considered phytoplankton, zoopl...

    Authors: R. N. Premakumari, Chandrali Baishya and Mohammed K. A. Kaabar
    Citation: Journal of Inequalities and Applications 2022 2022:137

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