The greatest prime function of real variable

Authors and Affiliations

  • Maher Qarawani Alquds Open University

About this article

DOI:

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

Received:

21-04-2015

Accepted:

18-05-2015

منشور:

30-05-2015

Views:

548

Downloads:

242
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الكلمات المفتاحية:

Greatest Prime Function، Gap Function، Inequalities.

الملخص

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.

السيرة الشخصية للمؤلف

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

المراجع

[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).


كيفية الاقتباس

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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