The greatest prime function of real variable

المؤلفون

  • Maher Qarawani Alquds Open University

DOI:

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

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).

التنزيلات

منشور

30-05-2015

إصدار

القسم

Articles

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