{
  "abstract": "This paper introduces a new class of King-type wavelet-assisted Kantorovich q-Baskakov operators, built to address the observation that classical operators of this type typically fail to reproduce the quadratic test function exactly. Moment formulas are derived for these operators, and a weighted Korovkin-type theorem is used to establish convergence. The speed of pointwise convergence is then quantified with the help of the modulus of smoothness and Lipschitz-type maximal function spaces; the resulting convergence factor δnqn turns out to be smaller than that reported for earlier q-Baskakov constructions, indicating an improvement in approximation power. Beyond the theoretical development, a numerical and graphical investigation plots the pointwise error |Yn,q*f(z)−f(z)| for several parameter pairs (n,q), with the error found to decrease steadily as n increases and q approaches 1, consistent with the theoretical estimates. Implementation details accompany this study to make the computations reproducible and to connect the abstract approximation-theoretic results with their practical execution.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Faculty of Science, University of Ostrava, Mlýnská 702/5, Moravská Ostrava, 702 00 Ostrava, Czech Republic",
    "Department of Mathematics, School of Computer Science & Artificial Intelligence, SR University, Warangal 506371, Telangana, India",
    "Department of Mathematics, University Center for Research and Development, Chandigarh University, Mohali 140413, Punjab, India"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Mohammad Ayman-Mursaleen",
      "orcid": "0000-0002-2566-3498"
    },
    {
      "affs": [
        1
      ],
      "name": "Inzamamul Haque",
      "orcid": "0000-0002-0100-122X"
    },
    {
      "affs": [
        2
      ],
      "name": "Nadeem Rao",
      "orcid": "0000-0002-5681-9563"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/57s6fkef42vnt.bib",
  "cited_by": 0,
  "doi": "10.3390/math14193627",
  "fulltext_url": null,
  "id": "57s6fkef42vnt",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/19/3627",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2613|Approximation Theory and Sequence Spaces"
    ]
  ],
  "openalex": "W7220939548",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/57s6fkef42vnt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14193627",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/19/3627"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2613|Approximation Theory and Sequence Spaces",
      "subfield": "statistics"
    }
  ],
  "title": "A Study of King-Type Operators Connecting Wavelet and Quantum Calculus: Numerical and Graphical Analysis",
  "title_text": "A Study of King-Type Operators Connecting Wavelet and Quantum Calculus: Numerical and Graphical Analysis",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/57s6fkef42vnt",
  "venue": "Mathematics",
  "versions": []
}