The greatest prime function of real variable

Authors

  • Maher Qarawani Alquds Open University

DOI:

https://doi.org/10.14419/gjma.v3i2.4655

Published

30-05-2015

Keywords:

Greatest Prime Function, Gap Function, Inequalities.

Abstract

In this paper, we introduce a new function which we call the greatest prime function. In addition, we give an extension of the function to , and then use this definition to prove some inequalities and properties of this function. Some illustrative examples are given.

Author Biography

  • Maher Qarawani, Alquds Open University
    Associate professor at department of mathematics

References

[1] P. S. Bullen, D. S., Mitrinovic and P. M. Vasic, Means and Their Inequalities, Dordrecht, Holland: D. Reidel Publishing Company, (1988). http://dx.doi.org/10.1007/978-94-017-2226-1.

[2] R. Crandall, C. Pomerance, Prime numbers: A computational perspective, Springer, New York, (2001). http://dx.doi.org/10.1007/978-1-4684-9316-0.

[3] P. Ribenboim, the Little Book of Bigger Primes, Second Edition, Springer-Verlag, New York, Inc (2004).

[4] J. Sandor, "On Certain Bounds and Limits for Prime Numbers," Notes on Number Theory and Discrete Mathematics 18(1), (2012).

How to Cite

Qarawani, M. (2015). The greatest prime function of real variable. Global Journal of Mathematical Analysis, 3(2), 89-96. https://doi.org/10.14419/gjma.v3i2.4655

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