عنوان مقاله :
On the Cauchy- Schwarz Inequality for Vectors in the inner Product spaces with Applications
پديد آورندگان :
elnour, khalid abd elrazig awad alla najran university - department of mathematics, Saudi Arabia
چكيده فارسي :
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.
كليدواژه :
Cauchy , Schwarz inequality , inner product space , norm of vector , scalar multiple , unit vector , orthogonal decomposition , mathematical induction
عنوان نشريه :
العلوم الطبيعية و الحياتية و التطبيقية
