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Approximation by quaternion (p, q)-Bernstein polynomials and Voronovskaja type result on
Haifa Bin Jebreen
,
Mohammad Mursaleen
and
Ambreen Naaz
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Advances in difference equations
05/12/2018
DOI:
https://doi.org/10.1186/s13662-018-1906-2
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Abstract
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
In this paper, we define the Bernstein polynomials of degree m of a quaternion variable. We obtain some approximation results, and also the Voronovskaja type result with quantitative upper estimates is proved.
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https://doi.org/10.1186/s13662-018-1906-2
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Title
Approximation by quaternion (p, q)-Bernstein polynomials and Voronovskaja type result on
Creators - without role
Haifa Bin Jebreen - King Saud University
Mohammad Mursaleen - Aligarh Muslim University
Ambreen Naaz - Aligarh Muslim University
Publication Details
Advances in difference equations
Publisher
Springer Nature
Number of pages
15
Grant note
"Research Center of the Female Scientific and Medical Colleges", Deanship of Scientific Research, King Saud University; King Saud University
Identifiers
9949309608331
Academic Unit
King Saud University
Language
English
Resource Type
Journal article
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https://doi.org/10.1186/s13662-018-1906-2