On the Cauchy- Schwarz Inequality for Vectors in the inner Product spaces with Applications

Authors

  • Khalid Abd Elrazig Awad Allah Elnour Department of Mathematics | preparatory dean ship | Najran University | kingdom of Saudi Arabia

DOI:

https://doi.org/10.26389/AJSRP.K210418

Keywords:

Cauchy-Schwarz inequality, inner product space, norm of vector, scalar multiple, unit vector, orthogonal decomposition, mathematical induction

Abstract

In this paper, eleven different proofs for Cauchy Schwarz inequality are considered on the inner product spaces, and specific teqnique of the inequality was used to establish various proofs of some new related inequalities are obtained, Which contributed to the establishment of different mathematical inequalities, notably the application, which shows multiple relationships on the sides of the triangle.

Author Biography

  • Khalid Abd Elrazig Awad Allah Elnour, Department of Mathematics | preparatory dean ship | Najran University | kingdom of Saudi Arabia

    Department of Mathematics | preparatory dean ship | Najran University | kingdom of Saudi Arabia

References

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Published

2018-06-30

Issue

Vol. 2 No. 2 (2018)

Section

Content

License

Copyright (c) 2018 المجلة العربية للعلوم ونشر الأبحاث

How to Cite

Allah Elnour, K. A. E. A. (2018). On the Cauchy- Schwarz Inequality for Vectors in the inner Product spaces with Applications. Journal of Natural Sciences, Life and Applied Sciences, 2(2), 103-85. https://doi.org/10.26389/AJSRP.K210418