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  1. In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators. ...

    Authors: Lian-Ta Su, Kadir Kanat, Melek Sofyalioğlu Aksoy and Merve Kisakol
    Citation: Journal of Inequalities and Applications 2024 2024:6
  2. Cyclic mappings describe fixed paths for which each point is sequentially transmitted from one set to another. Cyclic mappings satisfying certain cyclic contraction conditions have been used to obtain the best...

    Authors: Mi Zhou, Nicolae Adrian Secelean, Naeem Saleem and Mujahid Abbas
    Citation: Journal of Inequalities and Applications 2024 2024:4
  3. This paper provides convergence analysis of some variants of the hybrid extragradient algorithm (HEA) in Hilbert spaces. We employ the HEA to compute the common solution of the equilibrium problem and split fi...

    Authors: Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Thidaporn Seangwattana and Zaffar Iqbal
    Citation: Journal of Inequalities and Applications 2024 2024:3
  4. In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities (LTIs) for two classes of boundary value problems (BVPs) in the framework of Katugampola–Hilfer fractional derivatives, s...

    Authors: Sabri T. M. Thabet and Imed Kedim
    Citation: Journal of Inequalities and Applications 2023 2023:162
  5. This paper presents new refinements on the integral form of Cauchy–Schwartz inequality known as Cauchy–Bunyakovsky inequality. It is proved that when we possess a weighted sum of a set of Cauchy–Bunyakovsky in...

    Authors: Saeed Montazeri
    Citation: Journal of Inequalities and Applications 2023 2023:161

    The Correction to this article has been published in Journal of Inequalities and Applications 2024 2024:54

  6. The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology is the trivial topology. In this manuscript, we prove that ...

    Authors: Francisco Javier García-Pacheco
    Citation: Journal of Inequalities and Applications 2023 2023:160
  7. This paper deals with a hyperbolic-type equation with a logarithmic source term and dynamic boundary condition. Given convenient initial data, we obtained the local existence of a weak solution. Local existenc...

    Authors: Nazlı Irkıl, Khaled Mahdi, Erhan Pişkin, Mohammad Alnegga and Salah Boulaaras
    Citation: Journal of Inequalities and Applications 2023 2023:159
  8. The current status concerning Hardy-type inequalities with sharp constants is presented and described in a unified convexity way. In particular, it is then natural to replace the Lebesgue measure dx with the Haar...

    Authors: Lars-Erik Persson, Natasha Samko and George Tephnadze
    Citation: Journal of Inequalities and Applications 2023 2023:155
  9. Mixing is not much used in the high-frequency literature so far. However, mixing is a common weakly dependent property of continuous and discrete stochastic processes, such as Gaussian, Ornstein–Uhlenberck (OU...

    Authors: Shanchao Yang, Jiaying Xie, Shuyi Luo, Zhiyong Li and Xin Yang
    Citation: Journal of Inequalities and Applications 2023 2023:154
  10. Opial’s inequality and its ramifications play an important role in the theory of differential and difference equations. A sharp unifying generalization of Opial’s inequality is presented that contains both its...

    Authors: Chris A. J. Klaassen
    Citation: Journal of Inequalities and Applications 2023 2023:153
  11. In this paper, we propose a sparse equity portfolio optimization model that aims at minimizing transaction cost by avoiding small investments while promoting diversification to help mitigate the volatility in ...

    Authors: Hong Seng Sim, Wendy Shin Yie Ling, Wah June Leong and Chuei Yee Chen
    Citation: Journal of Inequalities and Applications 2023 2023:152
  12. This work is devoted to the analysis for a new class of set-valued inverse mixed variational inequalities (SIMVIs) in reflexive Banach spaces, when both the mapping and the constraint set are perturbed simulta...

    Authors: Xiaolin Qu, Wei Li, Chenkai Xing and Xueping Luo
    Citation: Journal of Inequalities and Applications 2023 2023:151
  13. In this paper, we present sufficient conditions to ensure the stochastic asymptotic stability of the zero solution for a specific type of fourth-order stochastic differential equation (SDE) with constant delay...

    Authors: Ayman M. Mahmoud, Adebayo O. Adewumi and Adeleke T. Ademola
    Citation: Journal of Inequalities and Applications 2023 2023:148
  14. In this paper we study the initial boundary value problem for a class of integro-differential time fractional order parabolic equations with a small positive parameter ε. Using the Laplace transform, Mittag-Leffl...

    Authors: Yongqiang Zhao and Yanbin Tang
    Citation: Journal of Inequalities and Applications 2023 2023:145
  15. In this paper, we introduce some user-friendly versions of integral-type fixed-point results and give some modifications of the classical Banach contraction principle by constructing a special type of contract...

    Authors: Nashat Faried, Sahar Mohamed Ali Abou Bakr, H. Abd El-Ghaffar and S. S. Solieman Almassri
    Citation: Journal of Inequalities and Applications 2023 2023:144
  16. Due to the major importance of the study of the logarithmic coefficients for univalent functions, in this paper we find the sharp upper bounds for some expressions associated with logarithmic coefficients of f...

    Authors: Ebrahim Analouei Adegani, Mostafa Jafari, Teodor Bulboacă and Nak Eun Cho
    Citation: Journal of Inequalities and Applications 2023 2023:143
  17. In this paper we focus on solving the classical variational inequality (VI) problem. Most common methods for solving VIs use some kind of projection onto the associated feasible set. Thus, when the involved se...

    Authors: V. A. Uzor, O. T. Mewomo, T. O. Alakoya and A. Gibali
    Citation: Journal of Inequalities and Applications 2023 2023:141
  18. In this article, by using the notion of quantum calculus, we define a new type Szász–Mirakjan operators based on the q-integers. We derive a recurrence formula and calculate the moments ...

    Authors: Pembe Sabancigil, Nazim Mahmudov and Gizem Dagbasi
    Citation: Journal of Inequalities and Applications 2023 2023:140
  19. This work is included in the search of optimality conditions for solutions to the scalar interval optimization problem, both constrained and unconstrained, by means of second-order optimality conditions. As it...

    Authors: Gabriel Ruiz-Garzón, Rafaela Osuna-Gómez, Antonio Rufián-Lizana and Antonio Beato-Moreno
    Citation: Journal of Inequalities and Applications 2023 2023:139
  20. In this paper, we propose a novel neural network that achieves stability within the fixed time (NFxNN) based on projection to solve the split convex feasibility problems. Under the bounded linear regularity as...

    Authors: Jinlan Zheng, Rulan Gan, Xingxing Ju and Xiaoqing Ou
    Citation: Journal of Inequalities and Applications 2023 2023:138
  21. Fractional inequalities play a crucial role in building mathematical mechanisms and their related solution functions across the majority of practical science domains. A variety of mathematical disciplines are ...

    Authors: Abd-Allah Hyder, Mohamed A. Barakat and Ahmed H. Soliman
    Citation: Journal of Inequalities and Applications 2023 2023:137
  22. In this paper, we propose two inertial algorithms with a new self-adaptive step size for approximating a solution of the split common null-point problem in the framework of Banach spaces. The step sizes are ad...

    Authors: Ratthaprom Promkam, Pongsakorn Sunthrayuth, Suparat Kesornprom and Ekapak Tanprayoon
    Citation: Journal of Inequalities and Applications 2023 2023:136
  23. In this paper, motivated by Reich contraction and tool of measure of noncompactness, some generalizations of Reich, Kannan, Darbo, Sadovskii, and Krasnoselskii type fixed point results are presented by conside...

    Authors: Akbar Azam, Nayyar Mehmood, Niaz Ahmad and Faryad Ali
    Citation: Journal of Inequalities and Applications 2023 2023:131
  24. This paper aims to extend the application of the Ostrowski inequality, a crucial tool for figuring out the error bounds of various numerical quadrature rules, including Simpson’s, trapezoidal, and midpoint rul...

    Authors: Miguel Vivas-Cortez, Muhammad Samraiz, Aman Ullah, Sajid Iqbal and Muzammil Mukhtar
    Citation: Journal of Inequalities and Applications 2023 2023:130
  25. This study aims to resolve weighted fractional operators of variable order in specific spaces. We establish an investigation on a boundary value problem of weighted fractional derivative of one function with r...

    Authors: Kheireddine Benia, Mohammed Said Souid, Fahd Jarad, Manar A. Alqudah and Thabet Abdeljawad
    Citation: Journal of Inequalities and Applications 2023 2023:127
  26. We consider a general class of convex optimization problems in which one seeks to minimize a strongly convex function over a closed and convex set, which is by itself an optimal set of another mixed variationa...

    Authors: Wei-Bo Guan and Wen Song
    Citation: Journal of Inequalities and Applications 2023 2023:126
  27. In a special class of almost contact metric manifolds known as cosymplectic manifolds, the current study aims to establish the existence result and a few inequalities for sequential warped product submanifolds...

    Authors: Anil Sharma, Anuj Kumar, Nasser Bin Turki and Sameh Shenawy
    Citation: Journal of Inequalities and Applications 2023 2023:125
  28. In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–M...

    Authors: Awais Rasheed, Khuram Ali Khan, Josip Pečarić and Đilda Pečarić
    Citation: Journal of Inequalities and Applications 2023 2023:124
  29. In this work, we present a novel biparameterized identity that yields a family of one-, two-, three-, and four-point Newton-type formulas. Subsequently, we establish some new Newton-type inequalities for funct...

    Authors: Wedad Saleh, Abdelghani Lakhdari, Thabet Abdeljawad and Badreddine Meftah
    Citation: Journal of Inequalities and Applications 2023 2023:122

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