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  1. 481

    Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions by Kemi Apanpa, Adesanmi Mogbademu, Johnson Olalerun

    Published 2025-01-01
    “…In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function. …”
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  2. 482
  3. 483

    A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables by Ying Jiang, Guojing Xing, Chenghui Zhang

    Published 2017-01-01
    “…By utilizing some analysis techniques, such as amplification method, differential, and integration, several new types of linear and nonlinear retarded integral inequalities in two independent variables are provided. …”
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  4. 484

    Some Slater's Type Inequalities for Convex Functions Defined on Linear Spaces and Applications by S. S. Dragomir

    Published 2012-01-01
    “…Some inequalities of the Slater type for convex functions defined on general linear spaces are given. …”
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  5. 485

    Data from the All of Us research program reinforces existence of activity inequality by Hayoung Jeong, Ali R. Roghanizad, Hiral Master, Juseong Kim, Aymone Kouame, Paul A. Harris, Melissa Basford, Kayla Marginean, Jessilyn Dunn

    Published 2025-01-01
    “…Quantifying activity inequality using the modified Gini index, we found a strong correlation with obesity prevalence (R 2 = 0.804) and a moderate correlation with perceived walkability (R 2 = 0.426) and the activity gender gap (R 2 = 0.385). …”
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  6. 486

    Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces by Hendra Gunawan, Denny Ivanal Hakim, Yoshihiro Sawano, Idha Sihwaningrum

    Published 2013-01-01
    “…The inequality for generalized fractional integral operators is proved by using two different techniques: one uses the Chebyshev inequality and some inequalities involving the modified Hardy-Littlewood maximal operator and the other uses a Hedberg type inequality and weak type inequalities for the modified Hardy-Littlewood maximal operator. …”
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  7. 487

    Advancements in corrected Euler–Maclaurin-type inequalities via conformable fractional integrals by Yaren Acar, Hüseyin Budak, Umut Bas, Fatih Hezenci, Hüseyin Yıldırım

    Published 2025-01-01
    “…Abstract In this research article, equality is proved to obtain corrected Euler–Maclaurin-type inequalities. Using this identity, we establish several corrected Euler–Maclaurin-type inequalities for the case of differentiable convex functions by means of conformable fractional integrals. …”
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  8. 488

    On the solvability of a variational inequality problem and application to a problem of two membranes by A. Addou, E. B. Mermri

    Published 2001-01-01
    “…The purpose of this work is to give a continuous convex function, for which we can characterize the subdifferential, in order to reformulate a variational inequality problem: find u=(u1,u2)∈K such that for all v=(v1,v2)∈K, ∫Ω∇u1∇(v1−u1)+∫Ω∇u2∇(v2−u2)+(f,v−u)≥0 as a system of independent equations, where f belongs to L2(Ω)×L2(Ω) and K={v∈H01(Ω)×H01(Ω):v1≥v2  a.e. in Ω}.…”
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  9. 489

    Understanding gender inequities in antimicrobial resistance: role of biology, behaviour and gender norms by Esmita Charani, Srishti Goel, Deepshikha Batheja

    Published 2025-01-01
    “…Persistent gender discrimination exacerbates these issues, resulting in disparities in healthcare access and outcomes. …”
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  10. 490
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  12. 492

    Socioeconomic Inequity in Access to Medical and Long-Term Care Among Older People by Shohei Okamoto, Atsuhiro Yamada, Erika Kobayashi, Jersey Liang

    Published 2025-01-01
    “…Based on the CI estimates, no explicit inequality was found for forgone medical care. However, we observed inequity in standardised LTC use across education, indicating pro-higher education inequality, particularly among women and those aged ≥ 80 years. …”
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  13. 493

    Lyapunov-Type Inequalities for Second-Order Boundary Value Problems with a Parameter by Haidong Liu

    Published 2020-01-01
    “…In this paper, we will establish some new Lyapunov-type inequalities for a class of second-order boundary value problems with a parameter. …”
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  14. 494

    On Some Grüss-Type Fractional Inequalities Using Saigo Fractional Integral Operator by Vaijanath L. Chinchane, Deepak B. Pachpatte

    Published 2014-01-01
    “…The main aim of this paper is to establish some new fractional integral inequalities of Grüss-type via the Saigo fractional integral operator.…”
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  15. 495

    Implicit and Explicit Iterative Methods for Systems of Variational Inequalities and Zeros of Accretive Operators by Lu-Chuan Ceng, Saleh Abdullah Al-Mezel, Qamrul Hasan Ansari

    Published 2013-01-01
    “…Based on Korpelevich's extragradient method, hybrid steepest-descent method, and viscosity approximation method, we propose implicit and explicit iterative schemes for computing a common element of the solution set of a system of variational inequalities and the set of zeros of an accretive operator, which is also a unique solution of a variational inequality. …”
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  16. 496
  17. 497
  18. 498

    Estimation of Integral Inequalities Using the Generalized Fractional Derivative Operator in the Hilfer Sense by Saima Rashid, Rehana Ashraf, Kottakkaran Sooppy Nisar, Thabet Abdeljawad

    Published 2020-01-01
    “…Moreover, we establish some new inequalities for C⌣ eby s⌣ ev and Gru¨ss type involving the generalized Caputo fractional derivative operators. …”
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  19. 499

    Convergence of Some Iterative Algorithms for System of Generalized Set-Valued Variational Inequalities by M. Akram, Aysha Khan, M. Dilshad

    Published 2021-01-01
    “…Further, we propose an iterative algorithm and discuss its convergence. Moreover, we establish equivalence between the system of variational inequalities and altering points problem. …”
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  20. 500

    Iterative Algorithms for Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators by Caiping Yang, Songnian He

    Published 2015-01-01
    “…He and Xu proved that this variational inequality has a unique solution and devised iterative algorithms to approximate this solution (see He and Xu, 2009). …”
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