{
  "abstract": "Stochastic processes play a crucial role in functional analysis and the study of inequalities under uncertainty, with Wiener processes providing a fundamental model for random perturbations. In this work, we introduce a new class of generalized (η, p, h)-convex stochastic processes, which unifies and extends several existing notions of convexity in the stochastic setting. We investigate essential properties of this class and derive novel Ostrowski-, Jensen-, and Hermite–Hadamard-type inequalities. The validity and effectiveness of the obtained results are illustrated through non-trivial examples and graphical comparisons highlighting the impact of Wiener processes relative to deterministic components.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics , Government College University Lahore (GCUL) , Lahore 54000 , Pakistan",
    "Abdus Salam School of Mathematical Sciences , GC University , Lahore , Pakistan",
    "Center for Theoretical Physics , Khazar University , 41 Mehseti Str. , Baku , AZ1096 , Azerbaijan",
    "Department of Mathematics , Faculty of Science , Jazan University , Jazan 45142 , Saudi Arabia",
    "Department of Mathematics and Didactics of Mathematics , Tallinn University , 10120 Tallinn , Estonia",
    "Department of Mathematics and Physics , Autonomous University of Aguascalientes , Aguascalientes 20100 , Mexico",
    "Department of Electronics , Autonomous University of Aguascalientes , Ave. Universidad 940 , Ciudad Universitaria , Aguascalientes 20100 , Mexico",
    "Department of Mathematics , \"1 Decembrie 1918 \" University of Alba Iulia , 510009 Alba Iulia , Romania",
    "Department of Mathematics , Technical University of Cluj-Napoca , 400114 Cluj-Napoca , Romania"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 10,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Amad Adrees"
    },
    {
      "affs": [
        1,
        2
      ],
      "name": "Waqar Afzal",
      "orcid": "0000-0001-7879-1920"
    },
    {
      "affs": [
        3
      ],
      "name": "Mehreen Shehzadi Khan"
    },
    {
      "affs": [
        3
      ],
      "name": "Hafeez Sultana"
    },
    {
      "affs": [
        3
      ],
      "name": "Omniat Omer Yousif Karrar"
    },
    {
      "affs": [
        3
      ],
      "name": "Leema Aliyarukunju"
    },
    {
      "affs": [
        4,
        5
      ],
      "name": "Jorge E. Macías-Díaz"
    },
    {
      "affs": [
        6
      ],
      "name": "Alejandro Román-Loera",
      "orcid": "0000-0002-5532-362X"
    },
    {
      "affs": [
        7
      ],
      "name": "Daniel Breaz"
    },
    {
      "affs": [
        8
      ],
      "name": "Luminiţa-Ioana Cotîrlă",
      "orcid": "0000-0002-0269-0688"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b12wx8dc3dw36.bib",
  "cited_by": 6,
  "doi": "10.28924/2291-8639-24-2026-164",
  "fulltext_url": null,
  "id": "b12wx8dc3dw36",
  "issns": [
    "2291-8639"
  ],
  "landing_url": "https://doi.org/10.28924/2291-8639-24-2026-164",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2604|Mathematical Inequalities and Applications"
    ]
  ],
  "openalex": "W7162811507",
  "pdf_url": "https://etamaths.com/index.php/ijaa/article/download/4844/1739",
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-29",
  "publisher": "Etamaths Publishing",
  "ris": "https://research.draconitic.com/paper/b12wx8dc3dw36.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T13:20:40Z",
      "native_id": "W7162811507",
      "source": "openalex",
      "url": "https://doi.org/10.28924/2291-8639-24-2026-164"
    }
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Mathematical Inequalities and Applications",
      "subfield": "general"
    }
  ],
  "title": "Novel Unified Variants, Properties, and Applications of Ostrowski, Jensen, and Hermite–Hadamard Inequalities for Generalized (η, p, h)-Convex Stochastic Processes",
  "title_text": "Novel Unified Variants, Properties, and Applications of Ostrowski, Jensen, and Hermite–Hadamard Inequalities for Generalized (η, p, h)-Convex Stochastic Processes",
  "type": "peer-reviewed",
  "updated_at": "2026-11-06T13:20:22Z",
  "url": "https://research.draconitic.com/paper/b12wx8dc3dw36",
  "venue": "International Journal of Analysis and Applications",
  "versions": []
}