Can Sobolev Inequality Be Written for Sharma-Mittal Entropy?

Date

2008-12-01

Author

Akturk, O. Uzengi
Akturk, E.
Tomak, Mehmet

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In this paper, we focus on Sobolev inequality in the context of Sharma-Mittal entropy. Using this new inequality, generalized entropic uncertainty relation in accordance with Sharma-Mittal entropy is derived and the pseudoadditivity relation has been obtained. This new entropic uncertainty relation has then been applied to physical examples such as one dimensional harmonic oscillator and Posch-Teller potential. Finally, it has been shown that for certain values of the parameters of Sharma-Mittal measure, the present results reduce to the corresponding results of Shannon, Renyi and Tsallis measures.

Subject Keywords

Physics and Astronomy (miscellaneous), General Mathematics

URI

https://hdl.handle.net/11511/36766

Journal

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

DOI

https://doi.org/10.1007/s10773-008-9766-2

Collections

Department of Physics, Article

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Citation Formats

O. U. Akturk, E. Akturk, and M. Tomak, “Can Sobolev Inequality Be Written for Sharma-Mittal Entropy?,” INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, pp. 3310–3320, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36766.