Some Problems Related to Totally Positive Functions and Totally Bounded Functions
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Authors
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Department of Mathematics, University of Kerala Thiruvananthapuram -695581, Kerala ,IN
B. Thalmi -
Department of Mathematics, University of Kerala Thiruvananthapuram -695581, Kerala ,INC. Jayasri
DOI:
https://doi.org/10.18311/jims/2024/31870Keywords:
Lagrange Interpolation, Totally Positive Function, Taylor Positive Function, Totally Bounded Function, Taylor Bounded Function.Abstract
In this paper, we show that a real valued function f defined on any closed bounded interval [a, b] is totally positive if it is Taylor positive. Also, it is shown that the function f is totally bounded if it is Taylor bounded.
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Published
2024-07-01
How to Cite
Thalmi, B., & Jayasri, C. (2024). Some Problems Related to Totally Positive Functions and Totally Bounded Functions. The Journal of the Indian Mathematical Society, 91(3-4), 321–327. https://doi.org/10.18311/jims/2024/31870
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Copyright (c) 2024 THALMI B, Prof.(Rtd)
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Davis, P.J., Interpolation and Approximation, Dover Publications, New York, 1975.
Horwitz, A.L., and Rubel, L.A., Totally positive functions and totally bounded functions on [−1, 1], J. Approx. Theory 52 (1988), 204–216.
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