Direct and Inverse Results for Kantorovich Type Exponential Sampling Series
In this article, we analyse the behaviour of the new family of Kantorovich type exponential sampling series. We derive the point-wise approximation theorem and Voronovskaya type theorem for the series ( I w χ ) w > 0 . Further, we establish a representation formula and an inverse result of approx...
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| Published in: | Resultate der Mathematik Vol. 75; no. 3 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Springer International Publishing
01.09.2020
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| ISSN: | 1422-6383, 1420-9012 |
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| Abstract | In this article, we analyse the behaviour of the new family of Kantorovich type exponential sampling series. We derive the point-wise approximation theorem and Voronovskaya type theorem for the series
(
I
w
χ
)
w
>
0
.
Further, we establish a representation formula and an inverse result of approximation for these operators. Finally, we give some examples of kernel functions to which the theory can be applied along with the graphical representation. |
|---|---|
| AbstractList | In this article, we analyse the behaviour of the new family of Kantorovich type exponential sampling series. We derive the point-wise approximation theorem and Voronovskaya type theorem for the series
(
I
w
χ
)
w
>
0
.
Further, we establish a representation formula and an inverse result of approximation for these operators. Finally, we give some examples of kernel functions to which the theory can be applied along with the graphical representation. |
| ArticleNumber | 119 |
| Author | Angamuthu, Sathish Kumar Bajpeyi, Shivam |
| Author_xml | – sequence: 1 givenname: Sathish Kumar orcidid: 0000-0003-2278-2296 surname: Angamuthu fullname: Angamuthu, Sathish Kumar email: mathsatish9@gmail.com organization: Department of Mathematics, Visvesvaraya National Institute of Technology – sequence: 2 givenname: Shivam surname: Bajpeyi fullname: Bajpeyi, Shivam organization: Department of Mathematics, Visvesvaraya National Institute of Technology |
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| Keywords | logarithmic modulus of continuity inverse result 41A35 30D10 41A25 Kantorovich type exponential sampling series mellin transform pointwise convergence 94A20 |
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| Snippet | In this article, we analyse the behaviour of the new family of Kantorovich type exponential sampling series. We derive the point-wise approximation theorem and... |
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| Title | Direct and Inverse Results for Kantorovich Type Exponential Sampling Series |
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