Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field
In this article, we investigate various Bernstein-Kantorovich variants together with their approximation properties. Nowadays, these variants of Bernstein-Kantorovich operators have been a source of inspiration for researchers as it helps to approximate integral functions also which is not feasible...
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| Format: | Article |
| Language: | English |
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Akif AKGUL
2023-12-01
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| Series: | Chaos Theory and Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/3234769 |
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| author | Sumit Kaur Bhatia Parveen Bawa Neha Bhardwaj |
| author_facet | Sumit Kaur Bhatia Parveen Bawa Neha Bhardwaj |
| author_sort | Sumit Kaur Bhatia |
| collection | DOAJ |
| description | In this article, we investigate various Bernstein-Kantorovich variants together with their approximation properties. Nowadays, these variants of Bernstein-Kantorovich operators have been a source of inspiration for researchers as it helps to approximate integral functions also which is not feasible in the case of discrete operators. Chaos theory has also been referred to as complexity theory. Using chaos theory complexity is also reduced as in approximation theory. Thus in order to reduce complexity and to have better understanding of images in sciences and engineering field, sampling Kantorovich operators of approximation theory are widely used in this regard for enhancement of images. Thus, we discuss the important applications of Kantorovich operators depicting pragmatic and theoretical aspects of approximation theory. |
| format | Article |
| id | doaj-art-f041f2f19c1a49cd9c653e6602566f2d |
| institution | Kabale University |
| issn | 2687-4539 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj-art-f041f2f19c1a49cd9c653e6602566f2d2025-01-23T18:15:39ZengAkif AKGULChaos Theory and Applications2687-45392023-12-015429329910.51537/chaos.13204421971Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering FieldSumit Kaur Bhatia0https://orcid.org/0000-0003-1946-0691Parveen Bawa1https://orcid.org/0000-0002-9645-6787Neha Bhardwaj2https://orcid.org/0000-0002-5618-1563Amity Institute of Applies sciences, Amity UniversityAmity Institute of Applies sciences, Amity University, NoidaSharda UniversityIn this article, we investigate various Bernstein-Kantorovich variants together with their approximation properties. Nowadays, these variants of Bernstein-Kantorovich operators have been a source of inspiration for researchers as it helps to approximate integral functions also which is not feasible in the case of discrete operators. Chaos theory has also been referred to as complexity theory. Using chaos theory complexity is also reduced as in approximation theory. Thus in order to reduce complexity and to have better understanding of images in sciences and engineering field, sampling Kantorovich operators of approximation theory are widely used in this regard for enhancement of images. Thus, we discuss the important applications of Kantorovich operators depicting pragmatic and theoretical aspects of approximation theory.https://dergipark.org.tr/en/download/article-file/3234769bernstein kantorovich operatorsq-calculuslupas stancu operatorspolya distribution |
| spellingShingle | Sumit Kaur Bhatia Parveen Bawa Neha Bhardwaj Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field Chaos Theory and Applications bernstein kantorovich operators q-calculus lupas stancu operators polya distribution |
| title | Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field |
| title_full | Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field |
| title_fullStr | Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field |
| title_full_unstemmed | Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field |
| title_short | Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field |
| title_sort | different variants of bernstein kantorovich operators and their applications in sciences and engineering field |
| topic | bernstein kantorovich operators q-calculus lupas stancu operators polya distribution |
| url | https://dergipark.org.tr/en/download/article-file/3234769 |
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