Yet Another Kantorovich Variant of Lupaş-Jain Operators.
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| Title: | Yet Another Kantorovich Variant of Lupaş-Jain Operators. |
|---|---|
| Authors: | BODUR, Murat1 mbodur@ktun.edu.tr |
| Source: | Gazi University Journal of Science. Sep2026, Vol. 39 Issue 3, p1692-1703. 12p. |
| Subjects: | Approximation theory, Lipschitz spaces, Approximation error |
| Abstract: | This paper proposes a novel Kantorovich-type extension of the Lupaş-Jain operators, aiming to enhance their approximation capabilities. The investigation begins by establishing weighted uniform approximation properties for the newly defined operators. Following this, a rigorous quantitative estimate is derived. Then, we examine the order of approximation by employing a modulus of continuity, the Lipschitz class and the Lipschitz-type maximal function. To conclude, numerical examples are presented to substantiate the theoretical findings. [ABSTRACT FROM AUTHOR] |
| Copyright of Gazi University Journal of Science is the property of Gazi University Journal of Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 196879060 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Yet Another Kantorovich Variant of Lupaş-Jain Operators. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22BODUR%2C+Murat%22">BODUR, Murat</searchLink><relatesTo>1</relatesTo><i> mbodur@ktun.edu.tr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Gazi+University+Journal+of+Science%22">Gazi University Journal of Science</searchLink>. Sep2026, Vol. 39 Issue 3, p1692-1703. 12p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Lipschitz+spaces%22">Lipschitz spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+error%22">Approximation error</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper proposes a novel Kantorovich-type extension of the Lupaş-Jain operators, aiming to enhance their approximation capabilities. The investigation begins by establishing weighted uniform approximation properties for the newly defined operators. Following this, a rigorous quantitative estimate is derived. Then, we examine the order of approximation by employing a modulus of continuity, the Lipschitz class and the Lipschitz-type maximal function. To conclude, numerical examples are presented to substantiate the theoretical findings. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Gazi University Journal of Science is the property of Gazi University Journal of Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=196879060 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.35378/gujs.1888186 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 1692 Subjects: – SubjectFull: Approximation theory Type: general – SubjectFull: Lipschitz spaces Type: general – SubjectFull: Approximation error Type: general Titles: – TitleFull: Yet Another Kantorovich Variant of Lupaş-Jain Operators. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: BODUR, Murat IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 13039709 Numbering: – Type: volume Value: 39 – Type: issue Value: 3 Titles: – TitleFull: Gazi University Journal of Science Type: main |
| ResultId | 1 |
